id large_stringlengths 9 16 | title large_stringlengths 1 382 | abstract large_stringlengths 3 6.09k | publish_date date32 | update_date date32 | categories large listlengths 1 13 | authors large_stringlengths 3 62.8k |
|---|---|---|---|---|---|---|
physics/9403001 | Desperately Seeking Superstrings | 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. | 1986-04-25 | 2015-06-26 | [
"physics.pop-ph",
"hep-th"
] | Paul Ginsparg and Sheldon Glashow |
hep-th/9108028 | Applied Conformal Field Theory | 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 de... | 1988-11-11 | 2008-02-06 | [
"hep-th"
] | Paul Ginsparg |
math/9201207 | The Rademacher cotype of operators from $l_\infty^N$ | We show that for any operator $T:l_\infty^N\to Y$, where $Y$ is a Banach
space, that its cotype 2 constant, $K_2(T)$, is related to its $(2,1)$-summing
norm, $\pi_{2,1}(T)$, by $K_2(T) \le c \log\log N \pi_{2,1}(T) $. Thus, we can
show that there is an operator $T:C(K)\to Y$ that has cotype 2, but is not
2-summing. | 1989-11-17 | 2008-02-03 | [
"math.FA"
] | Stephen J. Montgomery-Smith and Michel Talagrand |
math/9201206 | On the volume of the intersection of two $L_p^n$ balls | 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\}... | 1989-11-09 | 2008-02-03 | [
"math.FA",
"math.MG"
] | Gideon Schechtman and Joel Zinn |
math/9201239 | A note on canonical functions | We construct a generic extension in which the aleph_2 nd canonical function
on aleph_1 exists. | 1989-04-15 | 2009-09-25 | [
"math.LO"
] | Thomas Jech, Saharon Shelah |
math/9201205 | Volume ratios and a reverse isoperimetric inequality | 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 $n$-dimensi... | 1989-10-26 | 2008-02-03 | [
"math.MG",
"math.FA"
] | Keith Ball |
math/9201204 | Shadows of convex bodies | 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
orthogona... | 1989-10-26 | 2016-09-06 | [
"math.MG",
"math.FA"
] | Keith Ball |
math/9201203 | Convex bodies with few faces | 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 \ |\langle ... | 1989-10-26 | 2016-09-06 | [
"math.MG",
"math.FA"
] | Keith Ball (Texas A&M University) and Alain Pajor (Paris VII) |
cs/9301111 | Nested satisfiability | 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. | 1990-01-01 | 2008-02-03 | [
"cs.CC"
] | Donald E. Knuth |
cs/9301112 | A note on digitized angles | We study the configurations of pixels that occur when two digitized straight
lines meet each other. | 1990-04-01 | 2008-02-03 | [
"cs.GR"
] | Donald E. Knuth |
math/9201303 | Stable husbands | 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 $\epsil... | 1990-01-01 | 2008-02-03 | [
"math.CO",
"math.PR"
] | Donald E. Knuth, Rajeev Motwani, and Boris Pittel |
math/9201276 | New examples of manifolds with completely integrable geodesic flows | 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. | 1990-12-04 | 2008-02-03 | [
"math.DS",
"math.DG"
] | Gabriel Paternain, Ralf J. Spatzier |
math/9201275 | The Julia sets and complex singularities in hierarchical Ising models | 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 th... | 1990-09-26 | 2009-10-22 | [
"math.DS",
"math-ph",
"math.MP"
] | Pavel Bleher, Mikhail Lyubich |
math/9201274 | One-dimensional maps and Poincar\'e metric | 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
all... | 1990-08-12 | 2016-09-06 | [
"math.DS"
] | Grzegorz Swiatek |
math/9201273 | Remarks on iterated cubic maps | 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. | 1990-05-12 | 2008-02-03 | [
"math.DS"
] | John W. Milnor |
math/9201272 | Dynamics in one complex variable: introductory lectures | 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 reader ... | 1990-04-20 | 2016-09-06 | [
"math.DS",
"math.CV"
] | John W. Milnor |
math/9201271 | Conformal dynamics problem list | 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. | 1990-01-18 | 2009-09-25 | [
"math.DS"
] | Ben Bielefeld (editor), Adrien Douady, Curt McMullen, Jack Milnor,
Misuhiro Shishikura, Folkert Tangerman, Peter Veerman |
math/9201220 | The proportional UAP characterizes weak Hilbert spaces | 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. | 1990-12-31 | 2008-02-03 | [
"math.FA"
] | William B. Johnson and Gilles Pisier |
math/9201219 | On quotients of Banach spaces having shrinking unconditional bases | 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. | 1990-11-16 | 2008-02-03 | [
"math.FA"
] | Edward Odell |
math/9201216 | Some deviation inequalities | 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 deviation ... | 1990-09-05 | 2009-09-25 | [
"math.FA"
] | Bernard Maurey |
math/9201215 | p-summing operators on injective tensor products of spaces | Let $X,Y$ and $Z$ be Banach spaces, and let $\prod_p(Y,Z) (1\leq p<\infty)$
denote the space of $p$-summing operators from $Y$ to $Z$. We show that, if $X$
is a {\it \$}$_\infty$-space, then a bounded linear operator $T: X\hat
\otimes_\epsilon Y\longrightarrow Z$ is 1-summing if and only if a naturally
associated opera... | 1990-07-23 | 2008-02-03 | [
"math.FA"
] | Stephen J. Montgomery-Smith and Paulette Saab |
math/9201214 | On the complemented subspaces of X_p | 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 also... | 1990-07-20 | 2008-02-03 | [
"math.FA"
] | Dale E. Alspach |
math/9201213 | Permutations of the Haar system | 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 H... | 1990-06-25 | 2009-09-25 | [
"math.FA"
] | Paul F. X. M\"uller |
math/9201212 | Complemented subspaces of spaces obtained by interpolation | If Z is a quotient of a subspace of a separable Banach space X, and V is any
separable Banach space, then there is a Banach couple (A_0,A_1) such that A_0
and A_1 are isometric to $X\oplus V$, and any intermediate space obtained using
the real or complex interpolation method contains a complemented subspace
isomorphic ... | 1990-06-20 | 2008-02-03 | [
"math.FA"
] | D. J. H. Garling and Stephen J. Montgomery-Smith |
math/9201211 | Nuclear operators on spaces of continuous vector-valued functions | 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 their... | 1990-03-27 | 2008-02-03 | [
"math.FA"
] | Paulette Saab and Brenda Smith |
math/9201210 | Integral Operators on Spaces of Continuous Vector-valued Functions | 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 measures.... | 1990-03-15 | 2009-09-25 | [
"math.FA"
] | Paulette Saab |
math/9201209 | Operators which factor through Banach lattices not containing c_0 | 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 wri... | 1990-02-19 | 2016-09-06 | [
"math.FA"
] | Nassif Ghoussoub and William B. Johnson |
math/9201240 | Categoricity over P for first order T or categoricity for phi in
L_{omega_1 omega} can stop at aleph_k while holding for aleph_0, ...,
aleph_{k-1} | 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-categoric... | 1990-01-15 | 2008-02-03 | [
"math.LO"
] | Bradd Hart, Saharon Shelah |
math/9201241 | The primal framework. I | 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 oth... | 1990-01-15 | 2009-09-25 | [
"math.LO"
] | John T. Baldwin, Saharon Shelah |
math/9201242 | Full reflection of stationary sets below aleph_omega | 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. | 1990-01-15 | 2008-02-03 | [
"math.LO"
] | Thomas Jech, Saharon Shelah |
math/9201218 | The plank problem for symmetric bodies | 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 D... | 1990-09-25 | 2009-10-22 | [
"math.MG",
"math.FA"
] | Keith Ball |
math/9201217 | Ellipsoids of maximal volume in convex bodies | 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. | 1990-09-25 | 2009-09-25 | [
"math.MG",
"math.FA"
] | Keith Ball |
math/9201208 | Remarks on Talagrand's deviation inequality for Rademacher functions | 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 th... | 1990-02-16 | 2016-09-06 | [
"math.PR",
"math.FA"
] | William B. Johnson and Gideon Schechtman |
math/9201301 | Involutory Hopf algebras and 3-manifold invariants | 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 o... | 1990-05-19 | 2016-09-06 | [
"math.QA",
"math.GT"
] | Greg Kuperberg (UC Berkeley) |
cs/9301113 | Textbook examples of recursion | 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. | 1991-08-01 | 2008-02-03 | [
"cs.CC"
] | Donald E. Knuth |
cs/9301115 | Context-free multilanguages | This article is a sketch of ideas that were once intended to appear in the
author's famous series, "The Art of Computer Programming". He generalizes the
notion of a context-free language from a set to a multiset of words over an
alphabet. The idea is to keep track of the number of ways to parse a string.
For example, "... | 1991-12-01 | 2008-02-03 | [
"cs.DS"
] | Donald E. Knuth |
cs/9301114 | Theory and practice | The author argues to Silicon Valley that the most important and powerful part
of computer science is work that is simultaneously theoretical and practical.
He particularly considers the intersection of the theory of algorithms and
practical software development. He combines examples from the development of
the TeX type... | 1991-11-01 | 2008-02-03 | [
"cs.GL"
] | Donald E. Knuth |
hep-th/9112076 | Lectures on W algebras and W gravity | We give a review of the extended conformal algebras, known as $W$ algebras,
which contain currents of spins higher than 2 in addition to the
energy-momentum tensor. These include the non-linear $W_N$ algebras; the linear
$W_\infty$ and $W_{1+\infty}$ algebras; and their super-extensions. We discuss
their applications t... | 1991-12-31 | 2007-05-23 | [
"hep-th"
] | C.N. Pope |
hep-th/9201001 | Combinatorics of the Modular Group II: the Kontsevich integrals | We study algebraic aspects of Kontsevich integrals as generating functions
for intersection theory over moduli space and review the derivation of Virasoro
and KdV constraints.
1. Intersection numbers
2. The Kontsevich integral
2.1. The main theorem
2.2 Expansion of Z on characters and Schur functions
2.3 Proo... | 1991-12-31 | 2016-09-06 | [
"hep-th",
"math.QA"
] | C. Itzykson and J.-B. Zuber |
hep-th/9112074 | Non-linear WKB Analysis of the String Equation | We apply non-linear WKB analysis to the study of the string equation. Even
though the solutions obtained with this method are not exact, they approximate
extremely well the true solutions, as we explicitly show using numerical
simulations. ``Physical'' solutions are seen to be separatrices corresponding
to degenerate R... | 1991-12-30 | 2010-11-01 | [
"hep-th"
] | F. Fucito, A. Gamba, M. Martellini and O. Ragnisco |
hep-th/9112075 | Exactly Solvable Potentials and Quantum Algebras | A set of exactly solvable one-dimensional quantum mechanical potentials is
described. It is defined by a finite-difference-differential equation
generating in the limiting cases the Rosen-Morse, harmonic, and P\"oschl-Teller
potentials. General solution includes Shabat's infinite number soliton system
and leads to rais... | 1991-12-30 | 2009-01-23 | [
"hep-th"
] | V.Spiridonov |
hep-th/9112073 | Higher-Rank Supersymmetry and Topological Field Theory | The $N=2$ minimal superconformal model can be twisted yielding an example of
topological conformal field theory. In this article we investigate a Lie
theoretic extension of this process. | 1991-12-25 | 2015-06-26 | [
"hep-th"
] | Toshiya Kawai, Taku Uchino and Sun-Kil Yang |
hep-th/9112071 | Three Manifolds and Graph Invariants | We show how the Turaev--Viro invariant can be understood within the framework
of Chern--Simons theory with gauge group SU(2). We also describe a new
invariant for certain class of graphs by interpreting the triangulation of a
manifold as a graph consisiting of crossings and vertices with three lines. We
further show, f... | 1991-12-24 | 2008-02-03 | [
"hep-th",
"math.QA"
] | S. Kalyana Rama and Siddhartha Sen |
hep-th/9112072 | Partition Functions and Topology-Changing Amplitudes in the 3D Lattice
Gravity of Ponzano and Regge | We define a physical Hilbert space for the three-dimensional lattice gravity
of Ponzano and Regge and establish its isomorphism to the ones in the $ISO(3)$
Chern-Simons theory. It is shown that, for a handlebody of any genus, a
Hartle-Hawking-type wave-function of the lattice gravity transforms into the
corresponding s... | 1991-12-24 | 2009-09-17 | [
"hep-th"
] | Hirosi Ooguri |
hep-th/9112070 | Generalized Duality in Curved String-Backgrounds | The elements of $O(d,d,\Z)$ are shown to be discrete symmetries of the space
of curved string backgrounds that are independent of $d$ coordinates. The
explicit action of the symmetries on the backgrounds is described. Particular
attention is paid to the dilaton transformation. Such symmetries identify
different cosmolo... | 1991-12-23 | 2009-10-22 | [
"hep-th"
] | Amit Giveon and Martin Rocek |
hep-th/9112069 | Unitary And Hermitian Matrices In An External Field II: The Kontsevich
Model And Continuum Virasoro Constraints | We give a simple derivation of the Virasoro constraints in the Kontsevich
model, first derived by Witten. We generalize the method to a model of unitary
matrices, for which we find a new set of Virasoro constraints. Finally we
discuss the solution for symmetric matrices in an external field. | 1991-12-23 | 2009-10-22 | [
"hep-th"
] | David J. Gross and Michael J. Newman |
hep-th/9112068 | On the General Structure of Hamiltonian Reductions of the Wznw Theory | The structure of Hamiltonian reductions of the Wess-Zumino-Novikov-Witten
(WZNW) theory by first class Kac-Moody constraints is analyzed in detail. Lie
algebraic conditions are given for ensuring the presence of exact
integrability, conformal invariance and $\cal W$-symmetry in the reduced
theories. A Lagrangean, gauge... | 1991-12-22 | 2007-05-23 | [
"hep-th"
] | L. Feher, L. O'raifeartaigh, P. Ruelle, I. Tsutsui and A. Wipf |
hep-th/9112066 | The Solution Space of the Unitary Matrix Model String Equation and the
Sato Grassmannian | The space of all solutions to the string equation of the symmetric unitary
one-matrix model is determined. It is shown that the string equation is
equivalent to simple conditions on points $V_1$ and $V_2$ in the big cell $\Gr$
of the Sato Grassmannian $Gr$. This is a consequence of a well-defined
continuum limit in whi... | 1991-12-21 | 2009-10-22 | [
"hep-th"
] | Konstantinos N. Anagnostopoulos, Mark J. Bowick and Albert Schwarz |
hep-th/9112062 | Quantum Mechanics and Black Holes in Four-Dimensional String Theory | In previous papers we have shown how strings in a two-dimensional target
space reconcile quantum mechanics with general relativity, thanks to an
infinite set of conserved quantum numbers, ``W-hair'', associated with
topological soliton-like states. In this paper we extend these arguments to
four dimensions, by consider... | 1991-12-20 | 2009-09-11 | [
"hep-th"
] | J. Ellis, N. Mavromatos, and D. Nanopoulos |
hep-th/9112060 | W Gravity From Chern--Simons Theory | Starting with three dimensional Chern--Simons theory with gauge group
$Sl(N,R)$, we derive an action $S_{cov}$ invariant under both left and right
$W_N$ transformations. We give an interpretation of $S_{cov}$ in terms of
anomalies, and discuss its relation with Toda theory. | 1991-12-20 | 2009-10-22 | [
"hep-th"
] | Jan de Boer and Jacob Goeree |
hep-th/9112063 | Integrability of the quantum KdV equation at c = -2 | We present a simple a direct proof of the complete integrability of the
quantum KdV equation at $c=-2$, with an explicit description of all the
conservation laws. | 1991-12-20 | 2009-10-22 | [
"hep-th"
] | P. Di Francesco, P. Mathieu and D. Senechal |
hep-th/9112061 | Symmetries and Special States in Two Dimensional String Theory | We use the W-infinity symmetry of c=1 quantum gravity to compute matrix model
special state correlation functions. The results are compared, and found to
agree, with expectations from the Liouville model. | 1991-12-20 | 2009-10-22 | [
"hep-th"
] | Ulf H. Danielsson |
hep-th/9112065 | Euclidean Black Hole Vortices | We argue the existence of solutions of the Euclidean Einstein equations that
correspond to a vortex sitting at the horizon of a black hole. We find the
asymptotic behaviours, at the horizon and at infinity, of vortex solutions for
the gauge and scalar fields in an abelian Higgs model on a Euclidean
Schwarzschild backgr... | 1991-12-20 | 2011-04-20 | [
"hep-th"
] | Fay Dowker, Ruth Gregory and Jennie Traschen |
hep-th/9112064 | Topological gauge theories from supersymmetric quantum mechanics on
spaces of connections | We rederive the recently introduced $N=2$ topological gauge theories,
representing the Euler characteristic of moduli spaces ${\cal M}$ of
connections, from supersymmetric quantum mechanics on the infinite dimensional
spaces ${\cal A}/{\cal G}$ of gauge orbits. To that end we discuss variants of
ordinary supersymmetric... | 1991-12-20 | 2015-06-26 | [
"hep-th"
] | M Blau and G Thompson |
hep-th/9112050 | Topics in String Unification | I discuss several aspects of strings as unified theories. After recalling the
difficulties of the simplest supersymmetric grand unification schemes I
emphasize the distinct features of string unification. An important role in
constraining the effective low energy physics from strings is played by
$duality$ symmetries. ... | 1991-12-19 | 2008-02-06 | [
"hep-th"
] | Luis E. Ibanez |
hep-th/9112067 | On the Symmetries of Integrability | We show that the Yang-Baxter equations for two dimensional models admit as a
group of symmetry the infinite discrete group $A_2^{(1)}$. The existence of
this symmetry explains the presence of a spectral parameter in the solutions of
the equations. We show that similarly, for three-dimensional vertex models and
the asso... | 1991-12-19 | 2009-10-22 | [
"hep-th"
] | M. Bellon, J-M. Maillard, C. Viallet |
hep-th/9112057 | One-Point Functions of Loops and Constraints Equations of the
Multi-Matrix Models at finite N | We derive one-point functions of the loop operators of Hermitian matrix-chain
models at finite $N$ in terms of differential operators acting on the partition
functions. The differential operators are completely determined by recursion
relations from the Schwinger-Dyson equations. Interesting observation is that
these g... | 1991-12-19 | 2009-10-22 | [
"hep-th"
] | Changrim Ahn and Kazuyasu Shigemoto |
hep-th/9112049 | Flat Holomorphic Connections and Picard-Fuchs Identities From $N=2$
Supergravity | We show that in special K\"ahler geometry of $N=2$ space-time supergravity
the gauge variant part of the connection is holomorphic and flat (in a
Riemannian sense). A set of differential identities (Picard-Fuchs identities)
are satisfied on a holomorphic bundle. The relationship with the differential
equations obeyed b... | 1991-12-19 | 2009-10-22 | [
"hep-th"
] | Sergio Ferrara and Jan Louis |
hep-th/9112052 | $W$-Infinity Ward Identities and Correlation Functions in the $C=1$
Matrix Model | We explore consequences of $W$-infinity symmetry in the fermionic field
theory of the $c=1$ matrix model. We derive exact Ward identities relating
correlation functions of the bilocal operator. These identities can be
expressed as equations satisfied by the effective action of a {\it three}
dimensional theory and conta... | 1991-12-19 | 2009-10-22 | [
"hep-th"
] | Sumit R. Das, Avinash Dhar, Gautam Mandal and Spenta R. Wadia |
hep-th/9112053 | C.S.Xiong | We generalize Toda--like integrable lattice systems to non--symmetric case.
We show that they possess the bi--Hamiltonian structure. | 1991-12-19 | 2015-06-26 | [
"hep-th"
] | Generalized Integrable Lattice Systems |
hep-th/9112056 | Mirror Manifolds And Topological Field Theory | These notes are devoted to explaining aspects of the mirror manifold problem
that can be naturally understood from the point of view of topological field
theory. Basically this involves studying the topological field theories made by
twisting $N=2$ sigma models. This is mainly a review of old results, except for
the di... | 1991-12-19 | 2007-05-23 | [
"hep-th"
] | Edward Witten |
hep-th/9112058 | Loop Equations and Virasoro Constraints in Matrix Models | In the first part of the talk, I review the applications of loop equations to
the matrix models and to 2-dimensional quantum gravity which is defined as
their continuum limit. The results concerning multi-loop correlators for low
genera and the Virasoro invariance are discussed. The second part is devoted to
the Kontse... | 1991-12-19 | 2007-05-23 | [
"hep-th"
] | Yu.Makeenko |
hep-th/9112051 | Topological Matter in Two Dimensions | Topological quantum field theories containing matter fields are constructed
by twisting $N=2$ supersymmetric quantum field theories. It is shown that $N=2$
chiral (antichiral) multiplets lead to topological sigma models while $N=2$
twisted chiral (twisted antichiral) multiplets lead to Landau-Ginzburg type
topological ... | 1991-12-19 | 2009-10-22 | [
"hep-th"
] | J.M.F. Labastida and P.M. Llatas |
hep-th/9112054 | Internal Frame Dragging and a Global Analog of the Aharonov-Bohm Effect | It is shown that the breakdown of a {\it global} symmetry group to a discrete
subgroup can lead to analogues of the Aharonov-Bohm effect. At sufficiently low
momentum, the cross-section for scattering of a particle with nontrivial $\Z_2$
charge off a global vortex is almost equal to (but definitely different from)
maxi... | 1991-12-19 | 2009-10-22 | [
"hep-th"
] | John March-Russell, John Preskill, and Frank Wilczek |
hep-th/9112048 | $O(N)$ Vector Field Theories in the Double Scaling Limit | $O(N)$ invariant vector models have been shown to possess non-trivial scaling
large $N$ limits, at least perturbatively within the loop expansion, a property
they share with matrix models of 2D quantum gravity. In contrast with matrix
models, however, vector models can be solved in arbitrary dimensions. We
present here... | 1991-12-19 | 2011-04-20 | [
"hep-th"
] | J. Zinn-Justin |
hep-th/9112055 | A Conformal Field Theory Formalism from Integrable Hierarchies via the
Kontsevich--Miwa Transform | We attempt a direct derivation of a conformal field theory description of 2D
quantum gravity~+~matter from the formalism of integrable hierarchies subjected
to Virasoro constraints. The construction is based on a generalization of the
Kontsevich parametrization of the KP times by introducing Miwa parameters into
it. Th... | 1991-12-19 | 2010-12-01 | [
"hep-th"
] | A.M.Semikhatov |
hep-th/9112047 | Abelian Landau--Ginzburg Orbifolds and Mirror Symmetry | We construct a class of Heterotic String vacua described by Landau--Ginzburg
theories and consider orbifolds of these models with respect to abelian
symmetries. For LG--vacua described by potentials in which at most three
scaling fields are coupled we explicitly construct the chiral ring and discuss
its diagonalization... | 1991-12-18 | 2009-10-22 | [
"hep-th"
] | M. Kreuzer, R. Schimmrigk, H. Skarke |
hep-th/9112046 | SDiff(2) KP hierarchy | An analogue of the KP hierarchy, the SDiff(2) KP hierarchy, related to the
group of area-preserving diffeomorphisms on a cylinder is proposed. An improved
Lax formalism of the KP hierarchy is shown to give a prototype of this new
hierarchy. Two important potentials, $S$ and $\tau$, are introduced. The latter
is a count... | 1991-12-18 | 2009-10-22 | [
"hep-th",
"nlin.SI",
"solv-int"
] | Kanehisa Takasaki and Takashi Takebe |
hep-th/9112043 | Quantum Conserved Charges and S-matrices in N=2 Supersymmetric
Sine-Gordon Theory | We study the quantum conserved charges and S-matrices of N=2 supersymmetric
sine-Gordon theory in the framework of perturbation theory formulated in N=2
superspace. The quantum affine algebras ${\widehat {sl_{q}(2)}}$ and super
topological charges play important roles in determining the N=2 soliton
structure and S-matr... | 1991-12-17 | 2008-11-26 | [
"hep-th"
] | Ken-ichiro Kobayashi and Tsuneo Uematsu |
hep-th/9112039 | Topological Approach to Alice Electrodynamics | We analyze the unlocalized ``Cheshire charge'' carried by ``Alice strings.''
The magnetic charge on a string loop is carefully defined, and the transfer of
magnetic charge from a monopole to a string loop is analyzed using global
topological methods. A semiclassical theory of electric charge transfer is also
described. | 1991-12-17 | 2009-10-22 | [
"hep-th"
] | Martin Bucher, Hoi-Kwong Lo, and John Preskill |
hep-th/9112038 | Quantum Field Theory of Nonabelian Strings and Vortices | We develop an operator formalism for investigating the properties of
nonabelian cosmic strings (and vortices) in quantum field theory. Operators are
constructed that introduce classical string sources and that create dynamical
string loops. The operator construction in lattice gauge theory is explicitly
described, and ... | 1991-12-17 | 2009-10-22 | [
"hep-th"
] | Mark Alford, Kai-Ming Lee, John March-Russell, and John Preskill |
hep-th/9112045 | Semiclassical Approach to Finite-N Matrix Models | We reformulate the zero-dimensional hermitean one-matrix model as a
(nonlocal) collective field theory, for finite~$N$. The Jacobian arising by
changing variables from matrix eigenvalues to their density distribution is
treated {\it exactly\/}. The semiclassical loop expansion turns out {\it not\/}
to coincide with the... | 1991-12-17 | 2010-11-01 | [
"hep-th"
] | Olaf Lechtenfeld |
hep-th/9112041 | Area-Preserving Diffeomorphisms and Nonlinear Integrable Systems | Present state of the study of nonlinear ``integrable" systems related to the
group of area-preserving diffeomorphisms on various surfaces is overviewed.
Roles of area-preserving diffeomorphisms in 4-d self-dual gravity are reviewed.
Recent progress in new members of this family, the SDiff(2) KP and Toda
hierarchies, is... | 1991-12-17 | 2008-02-03 | [
"hep-th",
"nlin.SI",
"solv-int"
] | Kanehisa Takasaki |
hep-th/9112042 | SDiff(2) Toda equation -- hierarchy, $\tau$ function, and symmetries | A continuum limit of the Toda lattice field theory, called the SDiff(2) Toda
equation, is shown to have a Lax formalism and an infinite hierarchy of higher
flows. The Lax formalism is very similar to the case of the self-dual vacuum
Einstein equation and its hyper-K\"ahler version, however now based upon a
symplectic s... | 1991-12-17 | 2009-10-22 | [
"hep-th",
"nlin.SI",
"solv-int"
] | Kanehisa Takasaki and Takashi Takebe |
hep-th/9112044 | $O(d,d)$-Covariant String Cosmology | The recently discovered $O(d,d)$ symmetry of the space of slowly varying
cosmological string vacua in $d+1$ dimensions is shown to be preserved in the
presence of bulk string matter. The existence of $O(d,d)$ conserved currents
allows all the equations of string cosmology to be reduced to first-order
differential equat... | 1991-12-17 | 2009-10-22 | [
"hep-th"
] | M. Gasperini and G. Veneziano |
hep-th/9112040 | On Detecting Discrete Cheshire Charge | We analyze the charges carried by loops of string in models with non-abelian
local discrete symmetry. The charge on a loop has no localized source, but can
be detected by means of the Aharonov--Bohm interaction of the loop with another
string. We describe the process of charge detection, and the transfer of charge
betw... | 1991-12-17 | 2009-10-22 | [
"hep-th"
] | Martin Bucher, Kai-Ming Lee, and John Preskill |
hep-th/9112034 | A Novel Chiral Boson | We introduce a new model describing a bosonic system with chiral properties.
It consists of a free boson with two peculiar couplings to the background
geometry which generalizes the Feigen-Fuchs-Dotsenko-Fateev construction. By
choosing the two background charges of the model, it is possible to achieve any
prefixed val... | 1991-12-16 | 2009-10-22 | [
"hep-th"
] | Fiorenzo Bastianelli |
hep-th/9112037 | From polymers to quantum gravity: triple-scaling in rectangular matrix
models | Rectangular $N\times M$ matrix models can be solved in several qualitatively
distinct large $N$ limits, since two independent parameters govern the size of
the matrix. Regarded as models of random surfaces, these matrix models
interpolate between branched polymer behaviour and two-dimensional quantum
gravity. We solve ... | 1991-12-16 | 2009-10-22 | [
"hep-th"
] | Robert C. Myers and Vipul Periwal |
hep-th/9112036 | Ground ring for the 2D NSR string | We discuss the BSRT quantization of 2D $N=1$ supergravity coupled to
superconformal matter with $\hat{c} \leq 1$ in the conformal gauge. The
physical states are computed as BRST cohomology. In particular, we consider the
ring structure and associated symmetry algebra for the 2D superstring ($\hat{c}
= 1$). | 1991-12-16 | 2009-09-11 | [
"hep-th"
] | P. Bouwknegt, J. McCarthy and K. Pilch |
hep-th/9112035 | The Path Integral for a Particle in Curved Spaces and Weyl Anomalies | The computation of anomalies in quantum field theory may be carried out by
evaluating path integral Jacobians, as first shown by Fujikawa. The evaluation
of these Jacobians can be cast in the form of a quantum mechanical problem,
whose solution has a path integral representation. For the case of Weyl
anomalies, also ca... | 1991-12-16 | 2009-10-22 | [
"hep-th"
] | Fiorenzo Bastianelli |
hep-th/9112033 | States of non-zero ghost number in $c<1$ matter coupled to 2d gravity | We study $c<1$ matter coupled to gravity in the Coulomb gas formalism using
the double cohomology of the string BRST and Felder BRST charges. We find that
states outside the primary conformal grid are related to the states of non-zero
ghost number by means of descent equations given by the double cohomology. Some
aspec... | 1991-12-14 | 2010-11-01 | [
"hep-th"
] | S. Govindarajan, T. Jayaraman, V. John and P. Majumdar |
hep-th/9112030 | Supersymmetric String Solitons | These notes are based on lectures given by C. Callan and J. Harvey at the
1991 Trieste Spring School on String Theory and Quantum Gravity. The subject is
the construction of supersymmetric soliton solutions to superstring theory. A
brief review of solitons and instantons in supersymmetric theories is
presented. Yang-Mi... | 1991-12-13 | 2007-05-23 | [
"hep-th"
] | C.G.Callan Jr., J.A.Harvey and A.E.Strominger |
hep-th/9112032 | Multiple Crossover Phenomena and Scale Hopping in Two Dimensions | We study the renormalization group for nearly marginal perturbations of a
minimal conformal field theory M_p with p >> 1. To leading order in
perturbation theory, we find a unique one-parameter family of ``hopping
trajectories'' that is characterized by a staircase-like renormalization group
flow of the C-function and ... | 1991-12-13 | 2009-10-22 | [
"hep-th"
] | Michael Lassig |
hep-th/9112031 | From Here to Criticality: Renormalization Group Flow Between Two
Conformal Field Theories | Using nonperturbative techniques, we study the renormalization group
trajectory between two conformal field theories. Specifically, we investigate a
perturbation of the A3 superconformal minimal model such that in the infrared
limit the theory flows to the A2 model. The correlation functions in the
topological sector o... | 1991-12-13 | 2009-10-22 | [
"hep-th"
] | W.A. Leaf-Herrmann |
hep-th/9112027 | Special geometry, cubic polynomials and homogeneous quaternionic spaces | The existing classification of homogeneous quaternionic spaces is not
complete. We study these spaces in the context of certain $N=2$ supergravity
theories, where dimensional reduction induces a mapping between {\em special}
real, K\"ahler and quaternionic spaces. The geometry of the real spaces is
encoded in cubic pol... | 1991-12-12 | 2009-10-22 | [
"hep-th"
] | B. de Wit and A. Van Proeyen |
hep-th/9112028 | N=2\ $W$-supergravity | We quantise the classical gauge theory of $N=2\ w_\infty$-supergravity and
show how the underlying $N=2$ super-$w_\infty$ algebra gets deformed into an
$N=2$ super-$W_\infty$ algebra. Both algebras contain the $N=2$ super-Virasoro
algebra as a subalgebra. We discuss how one can extract from these results
information ab... | 1991-12-12 | 2009-10-22 | [
"hep-th"
] | E. Bergshoeff and M. de Roo |
hep-th/9112029 | Three-Point Functions of Non-Unitary Minimal Matter Coupled to Gravity | The tree-level three-point correlation functions of local operators in the
general $(p,q)$ minimal models coupled to gravity are calculated in the
continuum approach. On one hand, the result agrees with the unitary series
($q=p+1$); and on the other hand, for $p=2, q=2k-1$, we find agreement with the
one-matrix model r... | 1991-12-12 | 2009-10-22 | [
"hep-th"
] | Debashis Ghoshal and Swapna Mahapatra |
hep-th/9112026 | Topological Kac-Moody Algebra and Wakimoto Representation | It is shown, using the Wakimoto representation, that the level zero SU(2)
Kac-Moody conformal field theory is topological and can be obtained by twisting
an N=2 superconformal theory. Expressions for the associated N=2 superconformal
generators are written down and the Kac-Moody generators are shown to be BRST
exact. | 1991-12-11 | 2007-05-23 | [
"hep-th"
] | Abbas Ali and Alok Kumar |
hep-th/9112025 | Aspects of W_\INFTY Symmetry | We review the structure of W_\infty algebras, their super and topological
extensions, and their contractions down to (super) w_\infty. Emphasis is put on
the field theoretic realisations of these algebras. We also review the
structure of w_\infty and W_\infty gravities and comment on various
applications of W_\infty sy... | 1991-12-11 | 2007-05-23 | [
"hep-th"
] | E. Sezgin |
hep-th/9112024 | Recursion relations in semirigid topological gravity | A field theoretical realization of topological gravity is discussed in the
semirigid geometry context. In particular, its topological nature is given by
the relation between deRham cohomology and equivariant BRST cohomology and the
fact that all but one of the physical operators are BRST-exact. The puncture
equation an... | 1991-12-10 | 2009-10-22 | [
"hep-th"
] | Eugene Wong (University of Pennsylvania) |
hep-th/9112021 | Puncture Operator in c=1 Liouville Gravity | We identify the puncture operator in c=1 Liouville gravity as the discrete
state with spin J=1/2. The correlation functions involving this operator
satisfy the recursion relation which is characteristic in topological gravity.
We derive the recursion relation involving the puncture operator by the
operator product expa... | 1991-12-10 | 2007-05-23 | [
"hep-th"
] | Yoshihisa Kitazawa |
hep-th/9112023 | String and Fivebrane Solitons: Singular or Non-singular? | We ask whether the recently discovered superstring and superfivebrane
solutions of D=10 supergravity admit the interpretation of non-singular
solitons even though, in the absence of Yang-Mills fields, they exhibit
curvature singularities at the origin. We answer the question using a test
probe/source approach, and find... | 1991-12-10 | 2009-10-22 | [
"hep-th"
] | M.J. Duff, R.R. Khuri and J.X. Lu |
hep-th/9112022 | New fusion rules and $\cR$-matrices for $SL(N)_q$ at roots of unity | We derive fusion rules for the composition of $q$-deformed classical
representations (arising in tensor products of the fundamental representation)
with semi-periodic representations of $SL(N)_q$ at roots of unity. We obtain
full reducibility into semi-periodic representations. On the other hand,
heterogeneous $\cR$-ma... | 1991-12-10 | 2009-10-22 | [
"hep-th",
"math.QA"
] | Daniel Arnaudon |
hep-th/9112019 | An Introduction to 2d Gravity and Solvable String Models | Continuum and discrete approaches to 2d gravity coupled to $c<1$ matter are
reviewed. | 1991-12-09 | 2008-02-06 | [
"hep-th"
] | Emil Martinec |
hep-th/9112018 | Superloop Equations and Two Dimensional Supergravity | We propose a discrete model whose continuum limit reproduces the string
susceptibility and the scaling dimensions of $(2,4m)$-minimal superconformal
models coupled to $2D$-supergravity. The basic assumption in our presentation
is a set of super-Virasoro constraints imposed on the partition function. We
recover the Neve... | 1991-12-09 | 2015-06-26 | [
"hep-th"
] | L. Alvarez-Gaume, H. Itoyama, J.L. Manes and A. Zadra |
hep-th/9112017 | Universality and Non-Perturbative Definitions of 2D Quantum Gravity from
Matrix Models | The universality of the non-perturbative definition of Hermitian one-matrix
models following the quantum, stochastic, or $d=1$-like stabilization is
discussed in comparison with other procedures. We also present another
alternative definition, which illustrates the need of new physical input for
$d=0$ matrix models to ... | 1991-12-09 | 2010-11-01 | [
"hep-th"
] | J. Luis Miramontes and Joaquin Sanchez Guillen |
hep-th/9112020 | Electromagnetic fields of a massless particle and the eikonal | Electromagnetic fields of a massless charged particle are described by a
gauge potential that is almost everywhere pure gauge. Solution of quantum
mechanical wave equations in the presence of such fields is therefore immediate
and leads to a new derivation of the quantum electrodynamical eikonal
approximation. The elct... | 1991-12-09 | 2016-04-20 | [
"hep-th"
] | Roman Jackiw, Dan Kabat, Miguel Ortiz |
hep-th/9112014 | N=2 Superstrings with (1,2m) Spacetime Signature | We show that the $N=2$ superstring in $d=2D\ge6$ real dimensions, with
criticality achieved by including background charges in the two real time
directions, exhibits a ``coordinate-freezing'' phenomenon, whereby the momentum
in one of the two time directions is constrained to take a specific value for
each physical sta... | 1991-12-06 | 2009-10-07 | [
"hep-th"
] | H. Lu, C.N. Pope, X.J. Wang and K.W. Xu |
hep-th/9112016 | Virasoro Action and Virasoro Constraints on Integrable Hierarchies of
the $r$-Matrix Type | For a large class of hierarchies of integrable equations admitting a
classical $r-$matrix, we propose a construction for the Virasoro algebra
actionon the Lax operators which commutes with the hierarchy flows. The
construction relies on the existence of dressing transformations associated to
the $r$-matrix and does not... | 1991-12-06 | 2007-05-23 | [
"hep-th"
] | A.M.Semikhatov |
hep-th/9112015 | Model-Building for Fractional Superstrings | Fractional superstrings are recently-proposed generalizations of the
traditional superstrings and heterotic strings. They have critical spacetime
dimensions which are less than ten, and in this paper we investigate
model-building for the heterotic versions of these new theories. We concentrate
on the cases with critica... | 1991-12-06 | 2009-10-22 | [
"hep-th"
] | Keith R. Dienes (McGill University) and S.-H. Henry Tye (Cornell
University) |
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