abstract stringlengths 6 6.09k | id stringlengths 9 16 | time int64 725k 738k |
|---|---|---|
We provide a detailed analysis of the problems and prospects of superstring
theory c. 1986, anticipating much of the progress of the decades to follow.
| physics/9403001 | 725,121 |
These lectures consisted of an elementary introduction to conformal field
theory, with some applications to statistical mechanical systems, and fewer to
string theory.
Contents:
1. Conformal theories in d dimensions
2. Conformal theories in 2 dimensions
3. The central charge and the Virasoro algebra
4. Kac ... | hep-th/9108028 | 726,052 |
We construct a generic extension in which the aleph_2 nd canonical function
on aleph_1 exists.
| math/9201239 | 726,207 |
It is proved that if $u_1,\ldots, u_n$ are vectors in ${\Bbb R}^k, k\le n, 1
\le p < \infty$ and
$$r = ({1\over k} \sum ^n_1 |u_i|^p)^{1\over p}$$
then the volume of the symmetric convex body whose boundary functionals are
$\pm u_1,\ldots, \pm u_n$, is bounded from below as
$$|\{ x\in {\Bbb R}^k\colon \ |\langl... | math/9201203 | 726,401 |
It is proved that if $C$ is a convex body in ${\Bbb R}^n$ then $C$ has an
affine image $\widetilde C$ (of non-zero volume) so that if $P$ is any
1-codimensional orthogonal projection,
$$|P\widetilde C| \ge |\widetilde C|^{n-1\over n}.$$
It is also shown that there is a pathological body, $K$, all of whose
orthogo... | math/9201204 | 726,401 |
It is shown that if $C$ is an $n$-dimensional convex body then there is an
affine image $\widetilde C$ of $C$ for which
$${|\partial \widetilde C|\over |\widetilde C|^{n-1\over n}}$$
is no larger than the corresponding expression for a regular $n$-dimensional
``tetrahedron''. It is also shown that among $n$-dimen... | math/9201205 | 726,401 |
This note deals with the following problem, the case $p=1$, $q=2$ of which
was introduced to us by Vitali Milman: What is the volume left in the $L_p^n$
ball after removing a t-multiple of the $L_q^n$ ball? Recall that the $L_r^n$
ball is the set $\{(t_1,t_2,\dots,t_n);\ t_i\in{\bf R},\
n^{-1}\sum_{i=1}^n|t_i|^r\le 1... | math/9201206 | 726,415 |
A special case of the satisfiability problem, in which the clauses have a
hierarchical structure, is shown to be solvable in linear time, assuming that
the clauses have been represented in a convenient way.
| cs/9301111 | 726,468 |
Suppose $n$ boys and $n$ girls rank each other at random. We show that any
particular girl has at least $({1\over 2}-\epsilon) \ln n$ and at most
$(1+\epsilon)\ln n$ different husbands in the set of all Gale/Shapley stable
matchings defined by these rankings, with probability approaching 1 as $n \to
\infty$, if $\eps... | math/9201303 | 726,468 |
Suppose L is a relational language and P in L is a unary predicate. If M is
an L-structure then P(M) is the L-structure formed as the substructure of M
with domain {a: M models P(a)}. Now suppose T is a complete first order theory
in L with infinite models. Following Hodges, we say that T is relatively
lambda-categor... | math/9201240 | 726,482 |
This the first of a series of articles dealing with abstract classification
theory. The apparatus to assign systems of cardinal invariants to models of a
first order theory (or determine its impossibility) is developed in [Sh:a]. It
is natural to try to extend this theory to classes of models which are
described in o... | math/9201241 | 726,482 |
It is consistent that for every n >= 2, every stationary subset of omega_n
consisting of ordinals of cofinality omega_k where k = 0 or k <= n-3 reflects
fully in the set of ordinals of cofinality omega_{n-1}. We also show that this
result is best possible.
| math/9201242 | 726,482 |
This is a list of unsolved problems given at the Conformal Dynamics
Conference which was held at SUNY Stony Brook in November 1989. Problems were
contributed by the editor and the other authors.
| math/9201271 | 726,485 |
Recently Talagrand [T] estimated the deviation of a function on $\{0,1\}^n$
from its median in terms of the Lipschitz constant of a convex extension of $f$
to $\ell ^n_2$; namely, he proved that
$$P(|f-M_f| > c) \le 4 e^{-t^2/4\sigma ^2}$$ where $\sigma$ is the Lipschitz
constant of the extension of $f$ and $P$ is ... | math/9201208 | 726,514 |
In this supplement to [GJ1], [GJ3], we give an intrinsic characterization of
(bounded, linear) operators on Banach lattices which factor through Banach
lattices not containing a copy of $c_0$ which complements the characterization
of [GJ1], [GJ3] that an operator admits such a factorization if and only if it
can be w... | math/9201209 | 726,517 |
Let $X$ be a compact Hausdorff space, let $E$ be a Banach space, and let
$C(X,E)$ stand for the Banach space of $E$-valued continuous functions on $X$
under the uniform norm. In this paper we characterize Integral operators (in
the sense of Grothendieck) on $C(X,E)$ spaces in term of their representing
vector measure... | math/9201210 | 726,541 |
Let $\Omega$ be a compact Hausdorff space, let $E$ be a Banach space, and let
$C(\Omega, E)$ stand for the Banach space of all $E$-valued continuous
functions on $\Omega$ under supnorm. In this paper we study when nuclear
operators on $C(\Omega, E)$ spaces can be completely characterized in terms of
properties of the... | math/9201211 | 726,553 |
We study the configurations of pixels that occur when two digitized straight
lines meet each other.
| cs/9301112 | 726,558 |
These notes study the dynamics of iterated holomorphic mappings from a
Riemann surface to itself, concentrating on the classical case of rational maps
of the Riemann sphere. They are based on introductory lectures given at Stony
Brook during the Fall Term of 1989-90. These lectures are intended to introduce
the reade... | math/9201272 | 726,577 |
This note will discuss the dynamics of iterated cubic maps from the real or
complex line to itself, and will describe the geography of the parameter space
for such maps. It is a rough survey with few precise statements or proofs, and
depends strongly on work by Douady, Hubbard, Branner and Rees.
| math/9201273 | 726,599 |
We establish a 3-manifold invariant for each finite-dimensional, involutory
Hopf algebra. If the Hopf algebra is the group algebra of a group $G$, the
invariant counts homomorphisms from the fundamental group of the manifold to
$G$. The invariant can be viewed as a state model on a Heegaard diagram or a
triangulation... | math/9201301 | 726,606 |
General permutations acting on the Haar system are investigated. We give a
necessary and sufficient condition for permutations to induce an isomorphism on
dyadic BMO. Extensions of this characterization to Lipschitz spaces $\lip,
(0<p\leq1)$ are obtained. When specialized to permutations which act on one
level of the... | math/9201213 | 726,643 |
In this paper we prove some results related to the problem of isomorphically
classifying the complemented subspaces of $X_{p}$. We characterize the
complemented subspaces of $X_{p}$ which are isomorphic to $X_{p}$ by showing
that such a space must contain a canonical complemented subspace isomorphic to
$X_{p}.$ We al... | math/9201214 | 726,668 |
Invertible compositions of one-dimensional maps are studied which are assumed
to include maps with non-positive Schwarzian derivative and others whose sum of
distortions is bounded. If the assumptions of the Koebe principle hold, we show
that the joint distortion of the composition is bounded. On the other hand, if
a... | math/9201274 | 726,691 |
We introduce a concentration property for probability measures on
$\scriptstyle{R^n}$, which we call Property~($\scriptstyle\tau$); we show that
this property has an interesting stability under products and contractions
(Lemmas 1,~2,~3). Using property~($\scriptstyle\tau$), we give a short proof
for a recent deviatio... | math/9201216 | 726,715 |
The largest discs contained in a regular tetrahedron lie in its faces. The
proof is closely related to the theorem of Fritz John characterising ellipsoids
of maximal volume contained in convex bodies.
| math/9201217 | 726,735 |
Given a symmetric convex body $C$ and $n$ hyperplanes in an Euclidean space,
there is a translate of a multiple of $C$, at least ${1\over n+1}$ times as
large, inside $C$, whose interior does not meet any of the hyperplanes. The
result generalizes Bang's solution of the plank problem of Tarski and has
applications to... | math/9201218 | 726,735 |
We study the analytical continuation in the complex plane of free energy of
the Ising model on diamond-like hierarchical lattices. It is known that the
singularities of free energy of this model lie on the Julia set of some
rational endomorphism $f$ related to the action of the Migdal-Kadanoff
renorm-group. We study ... | math/9201275 | 726,736 |
It is proved that if a Banach space $Y$ is a quotient of a Banach space
having a shrinking unconditional basis, then every normalized weakly null
sequence in $Y$ has an unconditional subsequence. The proof yields the
corollary that every quotient of Schreier's space is $c_o$-saturated.
| math/9201219 | 726,787 |
We construct Riemannian manifolds with completely integrable geodesic flows,
in particular various nonhomogeneous examples. The methods employed are a
modification of Thimm's method, Riemannian submersions and connected sums.
| math/9201276 | 726,805 |
We prove that a Banach space has the uniform approximation property with
proportional growth of the uniformity function iff it is a weak Hilbert space.
| math/9201220 | 726,832 |
This note presents an elementary version of Sims's algorithm for computing
strong generators of a given perm group, together with a proof of correctness
and some notes about appropriate low-level data structures. Upper and lower
bounds on the running time are also obtained. (Following a suggestion of
Vaughan Pratt, w... | math/9201304 | 726,833 |
We prove a technical lemma, the $C^{1+\alpha }$-Denjoy-Koebe distortion
lemma, estimating the distortion of a long composition of a $C^{1+\alpha }$
one-dimensional mapping $f:M\mapsto M$ with finitely many, non-recurrent, power
law critical points. The proof of this lemma combines the ideas of the
distortion lemmas o... | math/9201277 | 726,843 |
We study geometrically finite one-dimensional mappings. These are a subspace
of $C^{1+\alpha}$ one-dimensional mappings with finitely many, critically
finite critical points. We study some geometric properties of a mapping in this
subspace. We prove that this subspace is closed under quasisymmetrical
conjugacy. We al... | math/9201278 | 726,843 |
We show that the ordering of the Hanf number of L_{omega, omega}(wo) (well
ordering), L^c_{omega, omega} (quantification on countable sets), L_{omega,
omega}(aa) (stationary logic) and second order logic, have no more restraints
provable in ZFC than previously known (those independence proofs assume
CON(ZFC) only). W... | math/9201243 | 726,847 |
We continue here [Sh276] but we do not relay on it. The motivation was a
conjecture of Galvin stating that 2^{omega} >= omega_2 + omega_2->
[omega_1]^{n}_{h(n)} is consistent for a suitable h: omega-> omega. In section
5 we disprove this and give similar negative results. In section 3 we prove the
consistency of the ... | math/9201244 | 726,847 |
We show that it is not provable in ZFC that any two countable elementarily
equivalent structures have isomorphic ultrapowers relative to some ultrafilter
on omega .
| math/9201245 | 726,847 |
This is the second in a series of articles developing abstract classification
theory for classes that have a notion of prime models over independent pairs
and over chains. It deals with the problem of smoothness and establishing the
existence and uniqueness of a `monster model'. We work here with a predicate
for a ca... | math/9201246 | 726,847 |
We look at an old conjecture of A. Tarski on cardinal arithmetic and show
that if a counterexample exists, then there exists one of length omega_1 +
omega .
| math/9201247 | 726,847 |
Every partition of [[omega_1]^{< omega}]^2 into finitely many pieces has a
cofinal homogeneous set. Furthermore, it is consistent that every directed
partially ordered set satisfies the partition property if and only if it has
finite character.
| math/9201248 | 726,847 |
A non RNP Banach space E is constructed such that $E^{*}$ is separable and
RNP is equivalent to PCP on the subsets of E.
| math/9201222 | 726,868 |
A result of Nymann is extended to show that a positive $\sigma$-finite
measure with range an interval is determined by its level sets. An example is
given of two finite positive measures with range the same finite union of
intervals but with the property that one is determined by its level sets and
the other is not.
| math/9201223 | 726,868 |
This continues the investigation of a combinatorial model for the variation
of dynamics in the family of rational maps of degree two, by concentrating on
those varieties in which one critical point is periodic. We prove some general
results about nonrational critically finite degree two branched coverings, and
finall... | math/9201279 | 726,888 |
We construct a family of root-finding algorithms which exploit the branched
covering structure of a polynomial of degree $d$ with a path-lifting algorithm
for finding individual roots. In particular, the family includes an algorithm
that computes an $\epsilon$-factorization of the polynomial which has an
arithmetic c... | math/9201280 | 726,904 |
Let $(x_n)$ be a normalized weakly null sequence in a Banach space and let
$\varep>0$. We show that there exists a subsequence $(y_n)$ with the following
property: $$\hbox{ if }\ (a_i)\subseteq \IR\ \hbox{ and }\ F\subseteq \nat$$
satisfies $\min F\le |F|$ then $$\big\|\sum_{i\in F} a_i y_i\big\| \le
(2+\varep) \big\... | math/9201224 | 726,913 |
We prove that the period doubling operator has an expanding direction at the
fixed point. We use the induced operator, a ``Perron-Frobenius type operator'',
to study the linearization of the period doubling operator at its fixed point.
We then use a sequence of linear operators with finite ranks to study this
induced... | math/9201281 | 726,919 |
In this work we construct a ``Tsirelson like Banach space'' which is
arbitrarily distortable.
| math/9201225 | 726,925 |
It is shown that the boundary of the Mandelbrot set $M$ has Hausdorff
dimension two and that for a generic $c \in \bM$, the Julia set of $z \mapsto
z^2+c$ also has Hausdorff dimension two. The proof is based on the study of the
bifurcation of parabolic periodic points.
| math/9201282 | 726,934 |
We estimate harmonic scalings in the parameter space of a one-parameter
family of critical circle maps. These estimates lead to the conclusion that the
Hausdorff dimension of the complement of the frequency-locking set is less than
$1$ but not less than $1/3$. Moreover, the rotation number is a H\"{o}lder
continuous ... | math/9201283 | 726,949 |
In this paper, equivalence between interpolation properties of linear
operators and monotonicity conditions are studied, for a pair $(X_0,X_1)$ of
rearrangement invariant quasi Banach spaces, when the extreme spaces of the
interpolation are $L^\infty$ and a pair $(A_0,A_1)$ under some assumptions.
Weak and restricted... | math/9201226 | 726,951 |
In this paper we consider the space of smooth conjugacy classes of an Anosov
diffeomorphism of the two-torus. The only 2-manifold that supports an Anosov
diffeomorphism is the 2-torus, and Franks and Manning showed that every such
diffeomorphism is topologically conjugate to a linear example, and furthermore,
the eig... | math/9201284 | 726,964 |
The goal of this note is to prove the following theorem: Let $p_a(z) = z^2+a$
be a quadratic polynomial which has no irrational indifferent periodic points,
and is not infinitely renormalizable. Then the Lebesgue measure of the Julia
set $J(p_a)$ is equal to zero.
As part of the proof we discuss a property of the c... | math/9201285 | 726,980 |
In this note we include two remarks about bounded ($\underline{not}$
necessarily contractive) linear projections on a von Neumann-algebra. We show
that if $M$ is a von Neumann-subalgebra of $B(H)$ which is complemented in B(H)
and isomorphic to $M \otimes M$ then $M$ is injective (or equivalently $M$ is
contractively... | math/9201227 | 726,983 |
We introduce a family of planar regions, called Aztec diamonds, and study the
ways in which these regions can be tiled by dominoes. Our main result is a
generating function that not only gives the number of domino tilings of the
Aztec diamond of order $n$ but also provides information about the orientation
of the dom... | math/9201305 | 726,984 |
We give a simple proof of Bourgain's disc algebra version of Grothendieck's
theorem, i.e. that every operator on the disc algebra with values in $L_1$ or
$L_2$ is 2-absolutely summing and hence extends to an operator defined on the
whole of $C$. This implies Bourgain's result that $L_1/H^1$ is of cotype 2. We
also pr... | math/9201228 | 726,986 |
We give an elementary proof that the $H^p$ spaces over the unit disc (or the
upper half plane) are the interpolation spaces for the real method of
interpolation between $H^1$ and $H^\infty$. This was originally proved by Peter
Jones. The proof uses only the boundedness of the Hilbert transform and the
classical facto... | math/9201229 | 726,987 |
In this paper we study measurable dynamics for the widest reasonable class of
smooth one dimensional maps. Three principle decompositions are described in
this class : decomposition of the global measure-theoretical attractor into
primitive ones, ergodic decomposition and Hopf decomposition. For maps with
negative Sc... | math/9201286 | 726,995 |
We study scaling function geometry. We show the existence of the scaling
function of a geometrically finite one-dimensional mapping. This scaling
function is discontinuous. We prove that the scaling function and the
asymmetries at the critical points of a geometrically finite one-dimensional
mapping form a complete s... | math/9201287 | 727,010 |
We study hyperbolic mappings depending on a parameter $\varepsilon $. Each of
them has an invariant Cantor set. As $\varepsilon $ tends to zero, the mapping
approaches the boundary of hyperbolicity. We analyze the asymptotics of the gap
geometry and the scaling function geometry of the invariant Cantor set as
$\varep... | math/9201288 | 727,010 |
Let $X$ be a compact tree, $f$ be a continuous map from $X$ to itself,
$End(X)$ be the number of endpoints and $Edg(X)$ be the number of edges of $X$.
We show that if $n>1$ has no prime divisors less than $End(X)+1$ and $f$ has a
cycle of period $n$, then $f$ has cycles of all periods greater than
$2End(X)(n-1)$ and ... | math/9201289 | 727,025 |
We prove a new inequality for Gaussian processes, this inequality implies the
Gordon-Chevet inequality. Some remarks on Gaussian proofs of Dvoretzky's
theorem are given.
| math/9201231 | 727,037 |
A Banach space E is said to have Property (w) if every (bounded linear)
operator from E into E' is weakly compact. We give some interesting examples of
James type Banach spaces with Property (w). We also consider the passing of
Property (w) from E to C(K,E).
| math/9201230 | 727,037 |
We construct the "spectral" decomposition of the sets $\bar{Per\,f}$,
$\omega(f)=\cup\omega(x)$ and $\Omega(f)$ for a continuous map $f$ of the
interval to itself. Several corollaries are obtained; the main ones describe
the generic properties of $f$-invariant measures, the structure of the set
$\Omega(f)\setminus \b... | math/9201290 | 727,040 |
We discuss properties of recursive schemas related to McCarthy's ``91
function'' and to Takeuchi's triple recursion. Several theorems are proposed as
interesting candidates for machine verification, and some intriguing open
questions are raised.
| cs/9301113 | 727,045 |
This paper will study topological, geometrical and measure-theoretical
properties of the real Fibonacci map. Our goal was to figure out if this type
of recurrence really gives any pathological examples and to compare it with the
infinitely renormalizable patterns of recurrence studied by Sullivan. It turns
out that t... | math/9201291 | 727,056 |
A family of exact conformal field theories is constructed which describe
charged black strings in three dimensions. Unlike previous charged black hole
or extended black hole solutions in string theory, the low energy spacetime
metric has a regular inner horizon (in addition to the event horizon) and a
timelike singul... | hep-th/9108001 | 727,058 |
We show that all W-gravity actions can be easilly constructed and understood
from the point of view of the Hamiltonian formalism for the constrained
systems. This formalism also gives a method of constructing gauge invariant
actions for arbitrary conformally extended algebras.
| hep-th/9108002 | 727,059 |
We study the classical version of supersymmetric $W$-algebras. Using the
second Gelfand-Dickey Hamiltonian structure we work out in detail $W_2$ and
$W_3$-algebras.
| hep-th/9108003 | 727,059 |
String theories with two dimensional space-time target spaces are
characterized by the existence of a ``ground ring'' of operators of spin
$(0,0)$. By understanding this ring, one can understand the symmetries of the
theory and illuminate the relation of the critical string theory to matrix
models. The symmetry group... | hep-th/9108004 | 727,060 |
We discuss when and how the Verlinde dimensions of a rational conformal field
theory can be expressed as correlation functions in a topological LG theory. It
is seen that a necessary condition is that the RCFT fusion rules must exhibit
an extra symmetry. We consider two particular perturbations of the Grassmannian
su... | hep-th/9108005 | 727,063 |
Starting from a given S-matrix of an integrable quantum field theory in $1+1$
dimensions, and knowledge of its on-shell quantum group symmetries, we describe
how to extend the symmetry to the space of fields. This is accomplished by
introducing an adjoint action of the symmetry generators on fields, and
specifying th... | hep-th/9108007 | 727,064 |
A new transverse lattice model of $3+1$ Yang-Mills theory is constructed by
introducing Wess-Zumino terms into the 2-D unitary non-linear sigma model
action for link fields on a 2-D lattice. The Wess-Zumino terms permit one to
solve the basic non-linear sigma model dynamics of each link, for discrete
values of the ba... | hep-th/9108009 | 727,064 |
We show that various actions of topological conformal theories that were
suggested recentely are particular cases of a general action. We prove the
invariance of these models under transformations generated by nilpotent
fermionic generators of arbitrary conformal dimension, $\Q$ and $\G$. The later
are shown to be th... | hep-th/9108008 | 727,064 |
$U(1)$ zero modes in the $SL(2,R)_k/U(1)$ and $SU(2)_k/U(1)$ conformal coset
theories, are investigated in conjunction with the string black hole solution.
The angular variable in the Euclidean version, is found to have a double set of
winding. Region III is shown to be $SU(2)_k/U(1)$ where the doubling accounts
for ... | hep-th/9108010 | 727,065 |
It has been shown that given a classical background in string theory which is
independent of $d$ of the space-time coordinates, we can generate other
classical backgrounds by $O(d)\otimes O(d)$ transformation on the solution. We
study the effect of this transformation on the known black $p$-brane solutions
in string ... | hep-th/9108011 | 727,065 |
The perturbations of string-theoretic black holes are analyzed by
generalizing the method of Chandrasekhar. Attention is focussed on the case of
the recently considered charged string-theoretic black hole solutions as a
representative example. It is shown that string-intrinsic effects greatly alter
the perturbed moti... | hep-th/9108012 | 727,066 |
We derive directly from the N=2 LG superpotential the differential equations
that determine the flat coordinates of arbitrary topological CFT's.
| hep-th/9108013 | 727,066 |
We study the double scaling limit of mKdV type, realized in the two-cut
Hermitian matrix model. Building on the work of Periwal and Shevitz and of
Nappi, we find an exact solution including all odd scaling operators, in terms
of a hierarchy of flows of $2\times 2$ matrices. We derive from it loop
equations which can ... | hep-th/9108014 | 727,066 |
We find new solutions to the Yang--Baxter equation in terms of the
intertwiner matrix for semi-cyclic representations of the quantum group
$U_q(s\ell(2))$ with $q= e^{2\pi i/N}$. These intertwiners serve to define the
Boltzmann weights of a lattice model, which shares some similarities with the
chiral Potts model. An... | hep-th/9108017 | 727,067 |
We describe four types of inner involutions of the Cartan-Weyl basis
providing (for $ |q|=1$ and $q$ real) three types of real quantum Lie algebras:
$U_{q}(O(3,2))$ (quantum D=4 anti-de-Sitter), $U_{q}(O(4,1))$ (quantum D=4
de-Sitter) and $U_{q}(O(5))$. We give also two types of inner involutions of
the Cartan-Cheval... | hep-th/9108018 | 727,067 |
A particular $U(N)$ gauge theory defined on the three dimensional
dodecahedral lattice is shown to correspond to a model of oriented
self-avoiding surfaces. Using large $N$ reduction it is argued that the model
is partially soluble in the planar limit.
| hep-th/9108015 | 727,067 |
This is a talk given by S.D. at the the workshop on Random Surfaces and 2D
Quantum Gravity, Barcelona 10-14 June 1991. It is an updated review of recent
work done by the authors on a proposal for non-perturbatively stable 2D quantum
gravity coupled to c<1 matter, based on the flows of the (generalised) KdV
hierarchy.... | hep-th/9108016 | 727,067 |
It is shown that the scattering of spacetime axions with fivebrane solitons
of heterotic string theory at zero momentum is proportional to the Donaldson
polynomial.
| hep-th/9108020 | 727,070 |
This review talk focusses on some of the interesting developments in the area
of superstring compactification that have occurred in the last couple of years.
These include the discovery that ``mirror symmetric" pairs of Calabi--Yau
spaces, with completely distinct geometries and topologies, correspond to a
single (2,... | hep-th/9108022 | 727,070 |
It is shown that some topological equivalency classes of S-unimodal maps are
equal to quasisymmetric conjugacy classes. This includes some infinitely
renormalizable polynomials of unbounded type.
| math/9201292 | 727,071 |
We extend Felder's construction of Fock space resolutions for the Virasoro
minimal models to all irreducible modules with $c\leq 1$. In particular, we
provide resolutions for the representations corresponding to the boundary and
exterior of the Kac table.
| hep-th/9108023 | 727,071 |
We compute the $S$-matrix of the Tricritical Ising Model perturbed by the
subleading magnetic operator using Smirnov's RSOS reduction of the
Izergin-Korepin model. The massive model contains kink excitations which
interpolate between two degenerate asymmetric vacua. As a consequence of the
different structure of the ... | hep-th/9108024 | 727,071 |
A review is given of work by Abhay Ashtekar and his colleagues Carlo Rovelli,
Lee Smolin, and others, which is directed at constructing a nonperturbative
quantum theory of general relativity.
| hep-th/9109002 | 727,078 |
We investigate the renormalization of N=2 SUSY L-G models with central charge
$c=3p/(2+p)$ perturbed by an almost marginal chiral operator. We calculate the
renormalization of the chiral fields up to $gg{^*}$ order and of nonchiral
fields up to $g(g^{*})$ order. We propose a formulation of the
nonrenormalization theo... | hep-th/9109003 | 727,078 |
We bosonise the complex-boson realisations of the $W_\infty$ and
$W_{1+\infty}$ algebras. We obtain nonlinear realisations of $W_\infty$ and
$W_{1+\infty}$ in terms of a pair of fermions and a real scalar. By further
bosonising the fermions, we then obtain realisations of $W_\infty$ in terms of
two scalars. Keeping t... | hep-th/9109004 | 727,079 |
We show that tree level ``resonant'' $N$ tachyon scattering amplitudes, which
define a sensible ``bulk'' S -- matrix in critical (super) string theory in any
dimension, have a simple structure in two dimensional space time, due to
partial decoupling of a certain infinite set of discrete states. We also argue
that the... | hep-th/9109005 | 727,079 |
The deconfining transition in non-Abelian gauge theory is known to occur by a
condensation of Wilson lines. By expanding around an appropriate Wilson line
background, it is possible at large $N$ to analytically continue the confining
phase to arbitrarily high temperatures, reaching a weak coupling confinement
regime.... | hep-th/9109007 | 727,080 |
We generalize the method of quantizing effective strings proposed by
Polchinski and Strominger to superstrings. The Ramond-Neveu-Schwarz string is
different from the Green-Schwarz string in non-critical dimensions. Both are
anomaly-free and Poincare invariant. Some implications of the results are
discussed. The forma... | hep-th/9109008 | 727,080 |
We obtain the bi-Hamiltonian structure of the super KP hierarchy based on the
even super KP operator $\Lambda = \theta^{2} + \sum^{\infty}_{i=-2}U_{i}
\theta^{-i-1}$, as a supersymmetric extension of the ordinary KP bi-Hamiltonian
structure. It is expected to give rise to a universal super $W$-algebra
incorporating a... | hep-th/9109009 | 727,081 |
Gauge systems in the confining phase induce constraints at the boundaries of
the effective string, which rule out the ordinary bosonic string even with
short distance modifications. Allowing topological excitations, corresponding
to winding around the colour flux tube, produces at the quantum level a
universal free f... | hep-th/9109011 | 727,085 |
The $c=1$ string in the Liouville field theory approach is shown to possess a
nontrivial tree-level $S$-matrix which satisfies factorization property implied
by unitary, if all the extra massive physical states are included.
| hep-th/9109012 | 727,085 |
A collective field formalism for nonrelativistic fermions in (1+1) dimensions
is presented. Applications to the D=1 hermitian matrix model and the system of
one-dimensional fermions in the presence of a weak electromagnetic field are
discussed.
| hep-th/9109013 | 727,085 |
In this paper we examine the bi-Hamiltonian structure of the generalized
KdV-hierarchies. We verify that both Hamiltonian structures take the form of
Kirillov brackets on the Kac-Moody algebra, and that they define a coordinated
system. Classical extended conformal algebras are obtained from the second
Poisson bracke... | hep-th/9109014 | 727,085 |
The set of solutions to the string equation $[P,Q]=1$ where $P$ and $Q$ are
differential operators is described.It is shown that there exists one-to-one
correspondence between this set and the set of pairs of commuting differential
operators.This fact permits us to describe the set of solutions to the string
equation... | hep-th/9109015 | 727,085 |
Explicit expressions for the singular vectors in the highest weight
representations of $A_1^{(1)}$ are obtained using the fusion formalism of
conformal field theory.
| hep-th/9109017 | 727,086 |
End of preview. Expand in Data Studio
No dataset card yet
- Downloads last month
- 4,922