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 |
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hep-th/9403021 | A Contribution of the Trivial Connection to the Jones Polynomial and
Witten's Invariant of 3d Manifolds II | We extend the results of our previous paper from knots to links by using a
formula for the Jones polynomial of a link derived recently by N. Reshetikhin.
We illustrate this formula by an example of a torus link. A relation between
the parameters of Reshetikhin's formula and the multivariable Alexander
polynomial is est... | 1994-03-03 | 2009-10-28 | [
"hep-th",
"math.QA"
] | Lev Rozansky |
hep-th/9403022 | Solution of the Thirring Model with Imaginary Mass and Massless
Scattering | The Thirring model with imaginary mass (or the sine-Gordon model with
imaginary coupling) is deeply related to all the flows between minimal
conformal theories. We solve this model explicitely using the Bethe ansatz. We
find that there are Left and Right moving massless excitations with non trivial
LR scattering. We co... | 1994-03-03 | 2009-10-28 | [
"hep-th"
] | Hubert Saleur and Sergei Skorik |
hep-th/9403017 | Twisting of N=1 SUSY Gauge Theories and Heterotic Topological Theories | It is shown that $D=4$ $N=1$ SUSY Yang-Mills theory with an appropriate
supermultiplet of matter can be twisted on compact K\"ahler manifold. The
conditions of cancellation of anomalies of BRST charge are found. The twisted
theory has an appropriate BRST charge. We find a non-trivial set of physical
operators defined a... | 1994-03-03 | 2009-10-28 | [
"hep-th"
] | A.Johansen |
hep-th/9403020 | Reshetikhin's Formula for the Jones Polynomial of a Link: Feynman
diagrams and Milnor's Linking Numbers | We use Feynman diagrams to prove a formula for the Jones polynomial of a link
derived recently by N.~Reshetikhin. This formula presents the colored Jones
polynomial as an integral over the coadjoint orbits corresponding to the
representations assigned to the link components. The large $k$ limit of the
integral can be c... | 1994-03-03 | 2009-10-28 | [
"hep-th",
"math.QA"
] | Lev Rozansky |
hep-th/9403008 | Hawking Temperature and String Scattering off the 2+1 Black Hole | The 2+1 black hole anti de Sitter solution, obtained as a special limit of
the conformally exact $SL(2,R)\otimes SO(1,1)/SO(1,1)$ coset WZW model to all
orders in 1/k, is investigated with respect to tachyon scattering. We calculate
the off-shell reflection and transmission coefficients and we find an
expression for th... | 1994-03-02 | 2009-10-28 | [
"hep-th"
] | Kazuo Ghoroku and Arne L. Larsen |
hep-th/9403010 | Comment on "Anyon in an external electromagnetic field: Hamiltonian and
Lagrangian formulations" | In their recent letter, Chaichian et.~al. present a Lagrangian for a massive
($m$) point particle on the plane, with which they claim to realize anyon
statistics. However, we find that there are some inaccuracies in their
formulation and, when these are taken care of, well-known results are
reproduced, which already ex... | 1994-03-02 | 2010-01-05 | [
"hep-th"
] | R. Jackiw and V. P. Nair |
hep-th/9403009 | The Hamiltonian Formulation of Higher Order Dynamical Systems | Using Dirac's approach to constrained dynamics, the Hamiltonian formulation
of regular higher order Lagrangians is developed. The conventional description
of such systems due to Ostrogradsky is recovered. However, unlike the latter,
the present analysis yields in a transparent manner the local structure of the
associat... | 1994-03-02 | 2008-02-03 | [
"hep-th",
"math-ph",
"math.MP"
] | Jan Govaerts and Maher S. Rashid |
hep-th/9403007 | Higgs and Fermions in D4-D5-E6 Model based on Cl(0,8) Clifford Algebra | This paper discusses the Higgs and spinor fermion terms of the D4-D5-E6 model
of a series of papers (hep-ph/9301210, hep-th/9302030, hep-th/9306011, and
hep-th/9402003) an 8-dimensional spacetime is reduced to 4-dimensions. The
gauge boson terms give SU(3)xSU(2)xU(1) for the color, weak, and
electromagnetic forces and ... | 1994-03-02 | 2007-05-23 | [
"hep-th"
] | F. D. T. Smith |
hep-th/9403013 | Liouville Theory: Ward Identities for Generating Functional and Modular
Geometry | We continue the study of quantum Liouville theory through Polyakov's
functional integral \cite{Pol1,Pol2}, started in \cite{T1}. We derive the
perturbation expansion for Schwinger's generating functional for connected
multi-point correlation functions involving stress-energy tensor, give the
``dynamical'' proof of the ... | 1994-03-02 | 2015-06-26 | [
"hep-th"
] | Leon Takhtajan |
hep-th/9403014 | Supersymmetry Breakings and Fermat's Last Theorem | A mechanism of supersymmetry breaking in two or four-dimensions is given, in
which the breaking is related to the Fermat's last theorem. It is shown that
supersymmetry is exact at some irrational number points in parameter space,
while it is broken at all rational number points except for the origin.
Accordingly, super... | 1994-03-02 | 2015-06-26 | [
"hep-th"
] | Hitoshi Nishino |
hep-th/9403011 | On Solutions to the Twisted Yang-Baxter equation | Solutions to the twisted Yang-Baxter equation, arising from intertwiners for
cyclic representations of $U_q(\widehat{sl}_n)$ are described via two coupled
the lattice current algebras. | 1994-03-02 | 2008-02-03 | [
"hep-th",
"math.QA"
] | Vitaly Tarasov |
hep-th/9403015 | On Quantum Mechanics | We reformulate the problem of the "interpretation of quantum mechanics" as
the problem of DERIVING the quantum mechanical formalism from a set of simple
physical postulates. We suggest that the common unease with taking quantum
mechanics as a fundamental description of nature could derive from the use of
an incorrect n... | 1994-03-02 | 2007-05-23 | [
"hep-th",
"gr-qc"
] | Carlo Rovelli |
hep-th/9403012 | Quantum Hamiltonian Reduction in Superspace Formalism | Recently the quantum hamiltonian reduction was done in the case of general
$s\ell(2)$ embeddings into Lie algebras and superalgebras. In this paper we
extend the results to the quantum hamiltonian reduction of $N=1$ affine Lie
superalgebras in the superspace formalism. We show that if we choose a gauge
for the supersym... | 1994-03-02 | 2009-10-28 | [
"hep-th"
] | J.O. Madsen and E. Ragoucy |
hep-th/9403005 | Symmetries of the Kadomstev-Petviashvili Hierarchy | The relation between the $\widehat{\Sl}(\infty)$ algebra of flows commuting
with the KP hierarchy and the Kac-Moody-Virasoro Lie point symmetries of
individual equations is established. This is used to calculate the point
symmetries for all equations in the hierarchy. | 1994-03-01 | 2007-05-23 | [
"hep-th"
] | A. Yu. Orlov and P. Winternitz |
hep-th/9403003 | Spherical Functions for the Quantum Group su_q(2) | The representation theory of the quantum group su$_q(2)$ is used to introduce
$q$-analogues of the Wigner rotation matrices, spherical functions, and
Legendre polynomials. The method amounts to an extension of variable separation
from Laplace equations to certain differential-dilation equations. | 1994-03-01 | 2008-02-03 | [
"hep-th",
"math.QA"
] | P. Winternitz and G. Rideau |
hep-th/9403001 | Generation of a quantum integrable class of discrete-time or
relativistic periodic Toda chains | A new integrable class of quantum models representing a family of different
discrete-time or relativistic generalisations of the periodic Toda chain (TC),
including that of a recently proposed classical close to TC model [7] is
presented. All such models are shown to be obtainable from a single ancestor
model at differ... | 1994-03-01 | 2009-10-28 | [
"hep-th"
] | Anjan Kundu |
hep-th/9403004 | Loop Algebra Symmetries and Commuting Flows for the
Kadomtsev-Petviashvili Hierarchy | The relation between the $\widehat\gl(\infty)$ symmetry of the
Kadomtsev-Petviashvili hierarchy and the Kac-Moody-Virasoro Lie point
symmetries of the individual equations is established. The Lie point symmetries
are shown to be the only local ones. | 1994-03-01 | 2008-02-03 | [
"hep-th"
] | A. Yu. Orlov and P. Winternitz |
hep-th/9403006 | The Loop Representation in Gauge Theories and Quantum Gravity | We review the application of the loop representation to gauge theories and
general relativity. The emphasis lies on exhibiting the loop calculus
techniques, and their application to the canonical quantization. We discuss the
role that knot theory and loop coordinates play in the determination of
nondegenerate quantum s... | 1994-03-01 | 2009-09-25 | [
"hep-th"
] | Rodolfo Gambini |
hep-th/9403002 | Schwinger's formula and the partition function for the bosonic and
fermionic harmonic oscillator | We use Schwinger's formula, introduced by himself in the early fifties to
compute effective actions for QED, and recently applied to the Casimir effect,
to obtain the partition functions for both the bosonic and fermionic harmonic
oscillator. | 1994-03-01 | 2008-02-03 | [
"hep-th"
] | L.C. Albuquerque, C. Farina and S.J. Rabello |
hep-th/9402151 | Nonlinear Realizations of the $W_3^{(2)}$ Algebra | In this letter we consider the nonlinear realizations of the classical
Polyakov's algebra $W_3^{(2)}$. The coset space method and the covariant
reduction procedure allow us to deduce the Boussinesq equation with
interchanged space and evolution coordinates. By adding one more space
coordinate and introducing two copies... | 1994-02-28 | 2019-08-17 | [
"hep-th"
] | S. Bellucci, V. Gribanov, S. Krivonos and A. Pashnev |
hep-th/9402149 | Global structure and thermodynamic property of the 4-dimensional twisted
Kerr solution | Rotating stringy black hole solutions with non-vanishing dilaton $\phi$,
antisymmetric tensor $B_{\mu\nu}$, and $U(1)$ gauge field $A_{\mu}$ are
investigated. Both Boyer-Lindquist-like and Kerr-Schild-like coordinate are
constructed. The latter is utilised to construct the analytically extended
spacetime. The global st... | 1994-02-28 | 2010-11-01 | [
"hep-th"
] | Tadashi OKAI |
hep-th/9402154 | One-Loop Renormalization and Asymptotic Behaviour of a Higher-Derivative
Scalar Theory in Curved Spacetime | A higher-derivative, interacting, scalar field theory in curved spacetime
with the most general action of sigma-model type is studied. The one-loop
counterterms of the general theory are found. The renormalization group
equations corresponding to two different, multiplicatively renormalizable
variants of the same are d... | 1994-02-28 | 2009-09-17 | [
"hep-th"
] | E. Elizalde, A.G. Jacksenaev, S.D. Odintsov and I.L. Shapiro |
hep-th/9402155 | An Extension of the Chowla-Selberg Formula Useful in Quantizing with the
Wheeler-De Witt Equation | The two-dimensional inhomogeneous zeta-function series (with homogeneous part
of the most general Epstein type): \[ \sum_{m,n \in \mbox{\bf Z}}
(am^2+bmn+cn^2+q)^{-s}, \] is analytically continued in the variable $s$ by
using zeta-function techniques. A simple formula is obtained, which extends the
Chowla-Selberg formu... | 1994-02-28 | 2009-10-28 | [
"hep-th"
] | E. Elizalde |
hep-th/9402153 | Towards a classification of rational Hopf algebras | Rational Hopf algebras (certain quasitriangular weak quasi-Hopf
$^*$-algebras) are expected to describe the quantum symmetry of rational field
theories. In this paper methods are developped which allow for a classification
of all rational Hopf algebras that are compatible with some prescribed set of
fusion rules. The a... | 1994-02-28 | 2008-02-03 | [
"hep-th",
"math.QA"
] | J\"urgen Fuchs, Alexander Ganchev, and Peter Vecserny\'es |
hep-th/9402152 | The question of anomalies in the Chern-Simons theory coupled to matter
fields | We study the Chern-Simons theory coupled to matter field by means of an
effective Lagrangian obtained from the Batalin-Fradkin-Vilkovisky formalism. We
show that there is no rotational anomaly for any proper gauge we choose. | 1994-02-28 | 2007-05-23 | [
"hep-th"
] | R. Amorim and J. Barcelos-Neto |
hep-th/9402150 | Asymptotically finite models and the screening of the cosmological
constant by quantum effects | In the framework of the recently proposed asymptotically finite gauge models
the cosmological constant is essentially weakened by quantum effects. The next
(and more general) claim is that the coupling between quantum fields may
suppress their contributions to the induced cosmological constant. | 1994-02-28 | 2009-10-28 | [
"hep-th"
] | I.L.Shapiro |
hep-th/9402156 | Gravitational Scattering in the c = 1 Matrix Model | The $c=1$ matrix model is equivalent to $1+1$ dimensional string theory.
However, the tachyon self-interaction in the former is local, while in the
latter it is nonlocal due to the gravitational, dilaton and higher string
fields. By studying scattering of classical pulses we show that the appropriate
nonlocal field red... | 1994-02-28 | 2009-10-09 | [
"hep-th"
] | Makoto Natsuume and Joseph Polchinski |
hep-th/9402148 | Geometry of (0,2) Landau-Ginzburg Orbifolds | Several aspects of (0,2) Landau-Ginzburg orbifolds are investigated.
Especially the elliptic genera are computed in general and, for a class of
models recently invented by Distler and Kachru, they are compared with the ones
from (0,2) sigma models. Our formalism gives an easy way to calculate the
generation numbers for... | 1994-02-27 | 2009-10-28 | [
"hep-th"
] | Toshiya Kawai and Kenji Mohri |
hep-th/9402147 | Gromov-Witten classes, quantum cohomology, and enumerative geometry | The paper is devoted to the mathematical aspects of topological quantum field
theory and its applications to enumerative problems of algebraic geometry. In
particular, it contains an axiomatic treatment of Gromov-Witten classes, and a
discussion of their properties for Fano varieties. Cohomological Field Theories
are d... | 1994-02-26 | 2009-10-28 | [
"hep-th",
"alg-geom",
"math.AG"
] | M. Kontsevich, Yu. Manin |
hep-th/9402143 | Non-hermitian tricriticality in the Blume-Capel model with imaginary
field | Using finite-size-scaling methods, we study the quantum chain version of the
spin-$1$-Blume-Capel model coupled to an imaginary field. The aim is to realize
higher order non-unitary conformal field theories in a simple Ising-type spin
model. We find that the first ground-state level crossing in the
high-temperature pha... | 1994-02-25 | 2009-09-25 | [
"hep-th"
] | G. von Gehlen |
hep-th/9402142 | Realisations of $GL_{p,q}(2)$ quantum group and its coloured extension
through a novel Hopf algebra with five generators | A novel Hopf algebra $ ( {\tilde G}_{r,s} )$, depending on two deformation
parameters and five generators, has been constructed. This $ {\tilde G}_{r,s}$
Hopf algebra might be considered as some quantisation of classical $GL(2)
\otimes GL(1) $ group, which contains the standard $GL_q(2)$ quantum group
(with $ q=r^{-1} ... | 1994-02-25 | 2016-09-06 | [
"hep-th",
"math.QA"
] | B. Basu-Mallick |
hep-th/9402146 | Chiral Bosons as solutions of the BV master equation 2D chiral gauge
theories | We construct the chiral Wess-Zumino term as a solution for the
Batalin-Vilkovisky master equation for anomalous two-dimensional gauge
theories, working in an extended field-antifield space, where the gauge group
elements are introduced as additional degrees of freedom.
We analyze the Abelian and the non-Abelian cases... | 1994-02-25 | 2008-11-26 | [
"hep-th"
] | N. R. F. Braga and H. Montani |
hep-th/9402144 | Differential Equations for Sine-Gordon Correlation Functions at the Free
Fermion Point | We demonstrate that for the sine-Gordon theory at the free fermion point, the
2-point correlation functions of the fields $\exp (i\al \Phi )$ for $0< \al <
1$ can be parameterized in terms of a solution to a sinh-Gordon-like equation.
This result is derived by summing over intermediate multiparticle states and
using th... | 1994-02-25 | 2008-11-26 | [
"hep-th"
] | D. Bernard and A. Leclair |
hep-th/9402141 | On the Large Mass Limit of the Continuum Theories in Kaplan's
Formulation | Being inspired by Kaplan's proposal for simulating chiral fermions on a
lattice, we examine the continuum analog of his domain-wall construction for
two-dimensional chiral Schwinger models. Adopting slightly unusual dimensional
regularization, we explicitly evaluate the one-loop effective action in the
limit that the d... | 1994-02-25 | 2009-10-28 | [
"hep-th",
"hep-lat"
] | T. Kawano and Y. Kikukawa |
hep-th/9402145 | Quantum principal commutative subalgebra in the nilpotent part of
$U_q\widehat{s\ell}_2$ and lattice KdV variables | We propose a quantum lattice version of Feigin and E. Frenkel's
constructions, identifying the KdV differential polynomials with functions on a
homogeneous space under the nilpotent part of $\widehat{s\ell}_2$. We construct
an action of the nilpotent part $U_q\widehat n_+$ of $U_q\widehat{s\ell}_2$ on
their lattice cou... | 1994-02-25 | 2009-10-28 | [
"hep-th"
] | B. Enriquez |
hep-th/9402140 | The Semiclassical Limit for $SU(2)$ and $SO(3)$ Gauge Theory on the
Torus | We prove that for $SU(2)$ and $SO(3)$ quantum gauge theory on a torus,
holonomy expectation values with respect to the Yang-Mills measure $d\mu_T(\o)
=N_T^{-1}e^{-S_{YM}(\o)/T}[{\cal D}\o]$ converge, as $T\downarrow 0$, to
integrals with respect to a symplectic volume measure $\mu_0$ on the moduli
space of flat connect... | 1994-02-24 | 2010-11-01 | [
"hep-th"
] | Ambar Sengupta |
hep-th/9402138 | On Dijkgraaf-Witten Type Invariants | We explicitly construct a series of lattice models based upon the gauge group
$Z_{p}$ which have the property of subdivision invariance, when the coupling
parameter is quantized and the field configurations are restricted to satisfy a
type of mod-$p$ flatness condition. The simplest model of this type yields the
Dijkgr... | 1994-02-24 | 2009-10-28 | [
"hep-th",
"math.QA"
] | Danny Birmingham and Mark Rakowski |
hep-th/9402139 | Labeling Schemes for Tetrahedron Equations and Dualities between Them | Zamolodchikov's tetrahedron equations, which were derived by considering the
scattering of straight strings, can be written in three different labeling
schemes: one can use as labels the states of the vacua between the strings, the
states of the string segments, or the states of the particles at the
intersections of th... | 1994-02-24 | 2009-10-28 | [
"hep-th",
"nlin.SI",
"solv-int"
] | Jarmo Hietarinta |
hep-th/9402137 | Time-Independent Solutions to the Two-Dimensional Non-Linear O(3) Sigma
Model and Surfaces of Constant Mean Curvature | It is shown that time-independent solutions to the (2+1)-dimensional non-
linear O(3) sigma model may be placed in correspondence with surfaces of
constant mean curvature in three-dimensional Euclidean space. The tools
required to establish this correspondence are provided by the classical
differential geometry of surf... | 1994-02-24 | 2015-06-26 | [
"hep-th"
] | M. S. Ody and L. H. Ryder |
hep-th/9402136 | Information Spreading in Interacting String Field Theory | The commutator of string fields is considered in the context of light cone
string field theory. It is shown that the commutator is in general
non--vanishing outside the string light cone. This could have profound
implications for our understanding of the localization of information in
quantum gravity. | 1994-02-24 | 2009-10-07 | [
"hep-th"
] | D. A. Lowe, L. Susskind and J. Uglum |
hep-th/9402128 | Fractional Quantum Hall Effect from Anomalies in WZNW Model | An approach to understand Fractional Quantum Hall Effect (FQHE) using
anomalies is studied in this paper. More specifically, this is done by looking
at the anomaly in the current conservation equation of a WZNW theory describing
fields living at the edge of the two dimensional Hall sample. This WZNW theory
itself comes... | 1994-02-23 | 2009-10-28 | [
"hep-th",
"cond-mat",
"hep-ph"
] | L.Chandar |
hep-th/9402130 | Setting Hidden Symmetries Free by the Noncommutative Veronese Mapping | The short note is devoted to the setting free of hidden symmetries in Verma
modules over sl(2,C) by the noncommutative Veronese mappings. | 1994-02-23 | 2009-10-28 | [
"hep-th",
"alg-geom",
"math.AG"
] | Denis Juriev |
hep-th/9402129 | Schr\"{o}dinger Fields on the Plane with non-Abelian Chern-Simons
Interactions | Physical content of the nonrelativistic quantum field theory with non-Abelian
Chern-Simons interactions is clarified with the help of the equivalent first-
quantized description which we derive in any physical gauge. | 1994-02-23 | 2009-10-28 | [
"hep-th"
] | Won Tae Kim and Choonkyu Lee |
hep-th/9402135 | The Semiclassical Limit of the Two Dimensional Quantum Yang-Mills Model | We relate the semiclassical limit of the quantum Yang-Mills partition
function on a compact oriented surface to the symplectic volume of the moduli
space of flat connections, by using an explicit expression for the symplectic
form. This gives an independent proof of some recent results of Witten and
Forman. | 1994-02-23 | 2010-11-01 | [
"hep-th"
] | Christopher King and Ambar Sengupta |
hep-th/9402131 | Dynamically Triangulated Ising Spins in Flat Space | A model describing Ising spins with short range interactions moving randomly
in a plane is considered. In the presence of a hard core repulsion, which
prevents the Ising spins from overlapping, the model is analogous to a
dynamically triangulated Ising model with spins constrained to move on a flat
surface. It is found... | 1994-02-23 | 2009-10-28 | [
"hep-th"
] | Marco Vekic, Shao Liu (UC Irvine) and Herbert W. Hamber (CERN) |
hep-th/9402132 | Graded contractions of bilinear invariant forms of Lie algebras | We introduce a new construction of bilinear invariant forms on Lie algebras,
based on the method of graded contractions. The general method is described and
the $\Bbb Z_2$-, $\Bbb Z_3$-, and $\Bbb Z_2\otimes\Bbb Z_2$-contractions are
found. The results can be applied to all Lie algebras and superalgebras (finite
or inf... | 1994-02-23 | 2009-10-28 | [
"hep-th",
"math.QA"
] | Marc de Montigny |
hep-th/9402134 | Universal and Generalized Cartan Calculus on Hopf Algebras | We extend the universal differential calculus on an arbitrary Hopf algebra to
a ``universal Cartan calculus''. This is accomplished by introducing inner
derivations and Lie derivatives which act on the elements of the universal
differential envelope. A new algebra is formulated by incorporating these new
objects into t... | 1994-02-23 | 2008-02-03 | [
"hep-th",
"math.QA"
] | Peter Schupp and Paul Watts |
hep-th/9402133 | A note on W_{2,s} strings | BRST operators for two-dimensional theories with spin-2 and spin-$s$
currents, generalising the $W_3$ BRST operator of Thierry-Mieg, have previously
been obtained. The construction was based on demanding nilpotence of the BRST
operators, making no reference to whether or not an underlying $W$ algebra
exists. In this pa... | 1994-02-23 | 2009-10-07 | [
"hep-th"
] | H. Lu, C.N. Pope, X.J. Wang and S.C. Zhao |
hep-th/9402124 | Complex $q$-Analysis and Scalar Field Theory on a $q$-Lattice | We develop the basic formalism of complex $q$-analysis to study the solutions
of second order $q$-difference equations which reduce, in the $q\rightarrow 1$
limit, to the ordinary Laplace equation in Euclidean and Minkowski space. After
defining an inner product on the function space we construct and study the
properti... | 1994-02-22 | 2011-07-19 | [
"hep-th"
] | Marcelo R. Ubriaco |
hep-th/9402123 | On the Vacuum Energy Density and Non-Perturbative Effects in Sigma
Models | The vacuum energy density is obtained for the $O(N)$ nonlinear sigma model.
It is shown that non-perturbative contributions are connected with the square
of the symmetry current of the group $O(N)$. This result is valid for $\sigma$-
fields which are subject to the constraint. | 1994-02-22 | 2016-09-06 | [
"hep-th"
] | V.G.Ksenzov |
hep-th/9402125 | String Thermalization at a Black Hole Horizon | Susskind has recently shown that a relativistic string approaching the event
horizon of a black hole spreads in both the transverse and longitudinal
directions in the reference frame of an outside observer. The transverse
spreading can be described as a branching diffusion of wee string bits. This
stochastic process pr... | 1994-02-22 | 2009-10-28 | [
"hep-th"
] | A. Mezhlumian, A. Peet and L. Thorlacius |
hep-th/9402127 | A universal non-quasitriangular quantization of the Heisenberg group | A universal R--matrix for the quantum Heisenberg algebra h(1)q is presented.
Despite of the non--quasitriangularity of this Hopf algebra, the quantum group
induced from it coincides with the quasitriangular deformation already known. | 1994-02-22 | 2009-10-28 | [
"hep-th",
"math.QA"
] | A. Ballesteros, Enrico Celeghini, F. J. Herranz, M. A. del Olmo, M.
Santander |
hep-th/9402126 | Quasiclassical asymptotics of solutions to the KZ equations | The quasiclassical asymptotics of the Knizhnik-Zamolodchikov system is
studied. Solutions to this system in this limit are related naturally to Bethe
vectors in the Gaudin model of spin chains. | 1994-02-22 | 2008-02-03 | [
"hep-th",
"math.QA"
] | Nicolai Reshetikhin and Alexander Varchenko |
hep-th/9402119 | Mirror Manifolds in Higher Dimension | We describe mirror manifolds in dimensions different from the familiar case
of complex threefolds. We emphasize the simplifying features of dimension three
and supply more robust methods that do not rely on such special characteristics
and hence naturally generalize to other dimensions. The moduli spaces for
Calabi--Ya... | 1994-02-21 | 2011-10-11 | [
"hep-th",
"alg-geom",
"math.AG"
] | Brian R. Greene, David R. Morrison and M. Ronen Plesser |
hep-th/9402122 | Mirror symmetry for the Kazama-Suzuki models | We study the $N = 2$ coset models in their formulation as supersymmetric
gauged Wess-Zumino-Witten models. A model based on the coset $G/H$ is invariant
under a symmetry group isomorphic to $\Z_{k+Q}$, where $k$ is the level of the
model and $Q$ is the dual Coxeter number of $G$. Using a duality-like
relationship, we s... | 1994-02-21 | 2009-10-28 | [
"hep-th"
] | Mans Henningson |
hep-th/9402120 | Exact four dimensional string solutions and Toda-like sigma models from
`null-gauged' WZNW theories | We construct a new class of exact string solutions with a four dimensional
target space metric of signature ($-,+,+,+$) by gauging the independent left
and right nilpotent subgroups with `null' generators of WZNW models for rank 2
non-compact groups $G$. The `null' property of the generators (${\rm Tr }(N_n
N_m)=0$) im... | 1994-02-21 | 2009-09-17 | [
"hep-th"
] | C. Klimcik and A.A. Tseytlin |
hep-th/9402118 | The BRST Operator for the Large $N=4$ Superconformal Algebra | We review the detailed structure of the large $N=4$ superconformal algebra,
and construct its BRST operator which constitutes the main object for analyzing
$N=4$ strings. We then derive the general condition for the nilpotency of the
BRST operator and show that there exists a line of critical $N=4$ string
theories. | 1994-02-21 | 2009-10-28 | [
"hep-th"
] | Fiorenzo Bastianelli and Nobuyoshi Ohta |
hep-th/9402117 | A Renormalization Group Flow Approach to Decoupling and Irrelevant
Operators | Using Wilson-Polchinski renormalization group equations, we give a simple new
proof of decoupling in a $\phi^4$-type scalar field theory involving two real
scalar fields (one is heavy with mass $M$ and the other light). Then, to all
orders in perturbation theory, it is shown that effects of virtual heavy
particles up t... | 1994-02-21 | 2009-10-28 | [
"hep-th",
"hep-ph"
] | Chanju Kim |
hep-th/9402121 | Path Integral Discussion for Smorodinsky-Winternitz Potentials: I.\ Two-
and Three Dimensional Euclidean Space | Path integral formulations for the Smorodinsky-Winternitz potentials in two-
and three-dimen\-sional Euclidean space are presented. We mention all
coordinate systems which separate the Smorodinsky-Winternitz potentials and
state the corresponding path integral formulations. Whereas in many coordinate
systems an explici... | 1994-02-21 | 2011-08-11 | [
"hep-th"
] | C.Grosche, G.S.Pogosyan and A.N.Sissakian |
hep-th/9402115 | Topological Defects as Seeds for Eternal Inflation | We investigate the global structure of inflationary universe both by
analytical methods and by computer simulations of stochastic processes in the
early Universe. We show that the global structure of the universe depends
crucially on the mechanism of inflation. In the simplest models of chaotic
inflation the Universe l... | 1994-02-20 | 2009-09-29 | [
"hep-th",
"astro-ph",
"gr-qc",
"hep-ph"
] | Andrei Linde and Dmitri Linde |
hep-th/9402116 | Cayley-Klein Lie Algebras and their Quantum Universal Enveloping
Algebras | The N-dimensional Cayley-Klein scheme allows the simultaneous description of
$3^N$ geometries (symmetric orthogonal homogeneous spaces) by means of a set of
Lie algebras depending on $N$ real parameters. We present here a quantum
deformation of the Lie algebras generating the groups of motion of the two and
three dimen... | 1994-02-20 | 2019-07-19 | [
"hep-th"
] | A. Ballesteros, F.J. Herranz, M.A. del Olmo and M. Santander |
hep-th/9402114 | The Mirror Map for Invertible LG Models | Calculating the (a,c) ring of the maximal phase orbifold for `invertible'
Landau--Ginzburg models, we show that the Berglund--H"ubsch construction works
for all potentials of the relevant type. The map that sends a monomial in the
original model to a twisted state in the orbifold representation of the mirror
is constru... | 1994-02-19 | 2009-10-28 | [
"hep-th"
] | Maximilian Kreuzer |
hep-th/9402109 | Dynamical-Space Regular-Time Lattice and Induced Gravity | It is proposed that gravity may arise in the low energy limit of a model of
matter fields defined on a special kind of a dynamical random lattice. Time is
discretized into regular intervals, whereas the discretization of space is
random and dynamical. A triangulation is associated to each distribution of the
spacetime ... | 1994-02-18 | 2008-02-03 | [
"hep-th",
"astro-ph",
"gr-qc",
"hep-lat"
] | Yigal Shamir |
hep-th/9402113 | Exact Solution of a Boundary Conformal Field Theory | We study the conformal field theory of a free massless scalar field living on
the half line with interactions introduced via a periodic potential at the
boundary. An SU(2) current algebra underlies this system and the interacting
boundary state is given by a global SU(2) rotation of the left-moving fields in
the zero-p... | 1994-02-18 | 2009-10-28 | [
"hep-th",
"cond-mat"
] | Curtis G. Callan, Igor R. Klebanov, Andreas W. W. Ludwig, Juan M.
Maldacena |
hep-th/9402108 | New insight into BRST anomalies in superstring theory | Based on the extended BRST formalism of Batalin, Fradkin and Vilkovisky, we
perform a general algebraic analysis of the BRST anomalies in superstring
theory of Neveu-Schwarz-Ramond. Consistency conditions on the BRST anomalies
are completely solved. The genuine super-Virasoro anomaly is identified with
the essentially ... | 1994-02-18 | 2009-10-28 | [
"hep-th"
] | T. Fujiwara, Y. Igarashi, M. Koseki, R. Kuriki, and T. Tabei |
hep-th/9402112 | Some Classical Solutions of Relativistic Membrane Equations in 4
Space-Time Dimensions | Various reductions, and soime solutions of the classical equations of motion
of a relativistic membrane are given | 1994-02-18 | 2009-10-28 | [
"hep-th"
] | J Hoppe |
hep-th/9402107 | Large N 2D Yang-Mills Theory and Topological String Theory | We describe a topological string theory which reproduces many aspects of the
1/N expansion of SU(N) Yang-Mills theory in two spacetime dimensions in the
zero coupling (A=0) limit. The string theory is a modified version of
topological gravity coupled to a topological sigma model with spacetime as
target. The derivation... | 1994-02-18 | 2009-10-28 | [
"hep-th",
"alg-geom",
"math.AG"
] | Stefan Cordes, Gregory Moore and Sanjaye Ramgoolam |
hep-th/9402110 | $\delta'$-Function Perturbations and Neumann Boundary-Conditions by Path
Integration | $\delta'$-function perturbations and Neumann boundary conditions are
incorporated into the path integral formalism. The starting point is the
consideration of the path integral representation for the one dimensional Dirac
particle together with a relativistic point interaction. The non-relativistic
limit yields either ... | 1994-02-18 | 2009-10-28 | [
"hep-th"
] | Christian Grosche |
hep-th/9402111 | Separation of variables for the quantum relativistic Toda lattices | We consider quantum analogs of the relativistic Toda lattices and give new
$2\times 2$ $L$-operators for these models. Making use of the variable
separation the spectral problem for the quantum integrals of motion is reduced
to solving one-dimensional separation equations. | 1994-02-18 | 2007-05-23 | [
"hep-th"
] | V.B.Kuznetsov and A.V.Tsiganov |
hep-th/9402102 | Loop Representation of the Partition Function of Lattice U(1) Gauge
Theory | We introduce in a natural and straigthforward way the $loop$ (Lagrangian)
$representation$ for the partition function of pure compact lattice QED. The
corresponding classical lattice loop action is proportional to the quadratic
area of the loop world sheets. We discuss the parallelism between the $loop$
formulation of ... | 1994-02-17 | 2007-05-23 | [
"hep-th",
"hep-lat"
] | J.M.Aroca and H. Fort |
hep-th/9402101 | Classical integrable lattice models through quantum group related
formalism | We translate effectively our earlier quantum constructions to the classical
language and using Yang-Baxterisation of the Faddeev-Reshetikhin-Takhtajan
algebra are able to construct Lax operators and associated $r$-matrices of
classical integrable models. Thus new as well as known lattice systems of
different classes ar... | 1994-02-17 | 2009-10-28 | [
"hep-th",
"math.QA"
] | Anjan Kundu |
hep-th/9402099 | Symmetry Algebra of the Planar Anisotropic Quantum Harmonic Oscillator
with Rational Ratio of Frequencies | The symmetry algebra of the two-dimensional quantum harmonic oscillator with
rational ratio of frequencies is identified as a non-linear extension of the
u(2) algebra. The finite dimensional representation modules of this algebra are
studied and the energy eigenvalues are determined using algebraic methods of
general a... | 1994-02-17 | 2007-05-23 | [
"hep-th"
] | Dennis Bonatsos, C. Daskaloyannis, P. Kolokotronis and D. Lenis |
hep-th/9402105 | Off-Shell Amplitudes in Two Dimensional String Field Theory | In this note we present an explicit procedure for the regularization of tree
level amplitudes involving discrete states, using open string field theory. We
show that there is a natural correspondence between the discrete states and
off--shell states, later acting as a regularized version of the former. A
general off-sh... | 1994-02-17 | 2011-07-19 | [
"hep-th"
] | Branko Urosevic (Brown University) |
hep-th/9402104 | Possible Implications of the Quantum Theory of Gravity | We consider the implications of some simple assumptions about the nature of
the quantum theory of gravity which are plausible for a class of possible
theories I have been attempting to construct. The simple assumptions turn out
to have surprizingly wide implications of a type one might call philosophical.
The paper is ... | 1994-02-17 | 2007-05-23 | [
"hep-th"
] | Louis Crane |
hep-th/9402100 | On The Reduced Canonical Quantization Of The Induced 2D-Gravity | The quantization of the induced 2d-gravity on a compact spatial section is
carried out in three different ways. In the three approaches the supermomentum
constraint is solved at the classical level but they differ in the way the
hamiltonian constraint is imposed. We compare these approaches establishing an
isomorphism ... | 1994-02-17 | 2008-11-26 | [
"hep-th"
] | J. Navarro-Salas, M. Navarro, C. F. Talavera and V. Aldaya |
hep-th/9402103 | Matter Fields in the Loop Representation of the Partition Function | We present the extension of the Lagrangian $loop$ representation in such a
way to introduce matter fields. The partition function of lattice compact U(1)
Gauge-Higgs model is expressed as a sum over closed as much as open surfaces.
These surfaces correspond to world sheets of loop-like pure electric flux
excitations an... | 1994-02-17 | 2007-05-23 | [
"hep-th"
] | J.M.Aroca and H. Fort |
hep-th/9402106 | Light-Cone Gauge Quantization of 2D Sigma Models | This work describes the formulation of the manifestly ghost-free (spacetime)
light-cone gauge for bosonic string theory with non-trivial spacetime metric,
antisymmetric tensor, dilaton and tachyon fields. The action is a general
two-dimensional sigma model, corresponding to a closed string theory with a
second order ac... | 1994-02-17 | 2008-11-26 | [
"hep-th"
] | Robert Rudd |
hep-th/9402093 | The HOMFLY polynomial for torus links from Chern-Simons gauge theory | Polynomial invariants corresponding to the fundamental representation of the
gauge group $SU(N)$ are computed for arbitrary torus knots and links in the
framework of Chern-Simons gauge theory making use of knot operators. As a
result, a formula for the HOMFLY polynomial for arbitrary torus links is
presented. | 1994-02-16 | 2011-07-19 | [
"hep-th",
"math.QA"
] | J. M. F. Labastida and M. Mari\~no |
hep-th/9402095 | Black Holes and Nonperturbative Canonical 2D Dilaton Gravity | We investigate nonperturbative canonical quantization of two dimensional
dilaton gravity theories with an emphasis on the CGHS model. We use an approach
where a canonical transformation is constructed such that the constraints take
a quadratic form. The required canonical transformation is obtained by using a
method ba... | 1994-02-16 | 2008-02-03 | [
"hep-th",
"gr-qc"
] | A. Mikovic |
hep-th/9402089 | Extreme Domain Wall--Black Hole Complementarity in N=1SUPERGRAVITY with
a General Dilaton Coupling | We study supersymmetric (extreme) domain walls in four-dimensional (4d) N=1
supergravity theories with a general dilaton coupling $\alpha > 0$. Type I
walls, which are static, planar (say, in ($x,y$) plane) configurations,
interpolate between Minkowski space-time and a vacuum with a varying dilaton
field. We classify t... | 1994-02-16 | 2009-09-25 | [
"hep-th",
"gr-qc"
] | Mirjam Cvetic |
hep-th/9402090 | Construction of Simple $q$-Deformed Algebras by Statistics | The simple algebras of a dressed operator, which is composed of a dressing
and a residual operators, are averaged following a proper statistics of the
dressing one. In the Bose-Einstein statistics, a (fermionic) Calogero-Vasiliev
oscillator, $q$-boson (fermion), and (fermionic) $su_q(1,1)$ are obtained for
each bosonic... | 1994-02-16 | 2007-05-23 | [
"hep-th"
] | S. U. Park |
hep-th/9402098 | QED in external fields from the spin representation | Systematic use of the infinite-dimensional spin representation simplifies and
rigorizes several questions in Quantum Field Theory. This representation
permutes ``Gaussian'' elements in the fermion Fock space, and is necessarily
projective: we compute its cocycle at the group level, and obtain Schwinger
terms and anomal... | 1994-02-16 | 2010-11-01 | [
"hep-th"
] | Jose M. Gracia-Bondia and Joseph C. Varilly |
hep-th/9402091 | SU(2) WZW Theory at Higher Genera | We compute, by free field techniques, the scalar product of the SU(2)
Chern-Simons states on genus > 1 surfaces. The result is a finite-dimensional
integral over positions of ``screening charges'' and one complex modular
parameter. It uses an effective description of the CS states closely related to
the one worked out ... | 1994-02-16 | 2009-10-28 | [
"hep-th"
] | Krzysztof Gawedzki |
hep-th/9402092 | Two-dimensional SU(N) Gauge Theory on the Light Cone | Two-dimensional SU($N$) gauge theory is accurately analyzed with the
light-front Tamm-Dancoff approximation, both numerically and analytically. The
light-front Einstein-Schr\"odinger equation for mesonic mass reduces to the 't
Hooft equation in the large $N$ limit, $g^2N$ fixed, where $g$ is the coupling
constant. Hadr... | 1994-02-16 | 2009-10-28 | [
"hep-th",
"nucl-th"
] | Takanori Sugihara, Masayuki Matsuzaki, and Masanobu Yahiro |
hep-th/9402096 | Spontaneous Breakdown of the Lorentz Invariance | We re-examine three-dimensional gauge theory with a Chern-Simons term in
which the Lorentz invariance is spontaneously broken by dynamical generation of
a magnetic field. A non-vanishing magnetic field leads, through the
Nambu-Goldstone theorem, to the decrease of zero-point energies of photons,
which accounts for a ma... | 1994-02-16 | 2010-11-01 | [
"hep-th"
] | Yutaka Hosotani |
hep-th/9402097 | On Diagonalization in Map(M,G) | Motivated by some questions in the path integral approach to (topological)
gauge theories, we are led to address the following question: given a smooth
map from a manifold $M$ to a compact group $G$, is it possible to smoothly
`diagonalize' it, i.e.~conjugate it into a map to a maximal torus $T$ of $G$?
We analyze the ... | 1994-02-16 | 2009-10-28 | [
"hep-th",
"math.DG"
] | Matthias Blau and George Thompson |
hep-th/9402094 | Trigonometric R Matrices related to `Dilute' Birman--Wenzl--Murakami
Algebra | Explicit expressions for three series of $R$ matrices which are related to a
``dilute'' generalisation of the Birman--Wenzl--Murakami are presented. Of
those, one series is equivalent to the quantum $R$ matrices of the
$D^{(2)}_{n+1}$ generalised Toda systems whereas the remaining two series
appear to be new. | 1994-02-16 | 2009-10-28 | [
"hep-th",
"math.QA"
] | Uwe Grimm |
hep-th/9402088 | String Cosmology and the Dimension of Spacetime | The implications of string theory for understanding the dimension of
uncompactified spacetime are investigated. Using recent ideas in string
cosmology, a new model is proposed to explain why three spatial dimensions grew
large. Unlike the original work of Brandenberger and Vafa, this paradigm uses
the theory of random ... | 1994-02-15 | 2010-11-01 | [
"hep-th"
] | Gerald B. Cleaver and Philip J. Rosenthal |
hep-th/9402083 | Non-critical superstrings: a comparison between continuum and discrete
approaches | We review the relation between the matrix model and Liouville approaches to
two-dimensional gravity as elaborated by Moore, Seiberg and Staudacher. Then,
based on the supersymmetric Liouville formulation and the discrete eigenvalue
model proposed by Alvarez-Gaum\'e, Itoyama, Ma\~nes and Zadra, we extend the
previous re... | 1994-02-15 | 2014-11-18 | [
"hep-th"
] | A. Zadra and E. Abdalla |
hep-th/9402087 | Schwinger-Dyson Equations and Chiral Symmetry Breaking in 2D Induced
Gravity | The Schwinger-Dyson equations in the ladder approximation for $2D$ induced
gravity coupled to fermions on a flat background are obtained in conformal
gauge. A numerical study of these equations shows the possiblity of chiral
symmetry breaking in this theory. | 1994-02-15 | 2009-09-25 | [
"hep-th"
] | E. Elizalde, S.D. Odintsov, A. Romeo and Yu.I. Shil'nov |
hep-th/9402085 | Topological Inflation | Inflation can occur in the cores of topological defects, where the scalar
field is forced to stay near the maximum of its potential. This topological
inflation does not require fine-tuning of the initial conditions. | 1994-02-15 | 2010-11-01 | [
"hep-th",
"gr-qc"
] | Alexander Vilenkin |
hep-th/9402084 | The exact mass-gaps of the principal chiral models | An exact expression for the mass-gap, the ratio of the physical particle mass
to the $\Lambda$-parameter, is found for the principal chiral sigma models
associated to all the classical Lie algebras. The calculation is based on a
comparison of the free-energy in the presence of a source coupling to a
conserved charge of... | 1994-02-15 | 2009-10-28 | [
"hep-th"
] | T.J. Hollowood |
hep-th/9402086 | Possible Evidences of Kaluza-Klein Particles in a Scalar Model with
Spherical Compactification | Possible experimental manifestations of the contribution of heavy
Kaluza-Klein particles, within a simple scalar model in six dimensions with
spherical compactification, are studied. The approach is based on the
assumption that the inverse radius $L^{-1}$ of the space of extra dimensions is
of the order of the scale of... | 1994-02-15 | 2010-11-01 | [
"hep-th"
] | E. Elizalde and Yu. Kubyshin |
hep-th/9402082 | String solutions with non-constant scalar fields | We discuss charged string solutions of the effective equations of D=4
heterotic string theory with non-constant dilaton and modulus fields. The
effective action contains a generic moduli-dependent coupling function in the
gauge field kinetic term and a non-perturbative scalar potential. This is a
review of hep-th/93071... | 1994-02-14 | 2007-05-23 | [
"hep-th"
] | A.A. Tseytlin |
hep-th/9402074 | Towards a Classification of su(2)$\bigoplus\cdots\bigoplus$su(2) Modular
Invariant Partition Functions | The complete classification of WZNW modular invariant partition functions is
known for very few affine algebras and levels, the most significant being all
levels of $A_1$ and $A_2$ and level 1 of all simple algebras. Here, we address
the classification problem for the nicest high rank semi-simple affine
algebras: $(A_1... | 1994-02-14 | 2009-10-28 | [
"hep-th"
] | Terry Gannon |
hep-th/9402081 | Nonperturbative Model Of Liouville Gravity | We obtain nonperturbative results in the framework of continuous Liouville
theory. In particular, we express the specific heat ${\cal Z}$ of pure gravity
in terms of an expansion of integrals on moduli spaces of punctured Riemann
spheres. The integrands are written in terms of the Liouville action. We show
that ${\cal ... | 1994-02-14 | 2016-09-06 | [
"hep-th",
"alg-geom",
"gr-qc",
"math.AG"
] | M. Matone |
hep-th/9402075 | Scattering of Vortices at near-critical coupling | The scattering of vortices at a critical value of the coupling constant in
the Lagrangian can be approximated by a geodesic motion in the moduli space of
classical static configurations of vortices. In this paper we give a scheme for
generalising this idea to couplings that are near to the critical value. By
perturbing... | 1994-02-14 | 2009-10-28 | [
"hep-th",
"cond-mat"
] | P.A.Shah |
hep-th/9402079 | The Solutions of Affine and Conformal Affine Toda Field Theories | We give new formulations of the solutions of the field equations of the
affine Toda and conformal affine Toda theories on a cylinder and
two-dimensional Minkowski space-time. These solutions are parameterised in
terms of initial data and the resulting covariant phase spaces are
diffeomorphic to the Hamiltonian ones. We... | 1994-02-14 | 2009-10-09 | [
"hep-th"
] | G. Papadopoulos and B. Spence |
hep-th/9402080 | Construction of Superstrings in Wormhole-Like Backgrounds | We construct a class of superstring solutions in non trivial space-time. The
existence of an $N=4$ world-sheet superconformal symmetry stabilizes our
solutions under perturbative string loop corrections and implies in target
space some unbroken space-time supersymmetries. | 1994-02-14 | 2008-02-03 | [
"hep-th"
] | C. Kounnas |
hep-th/9402076 | Dilute Birman--Wenzl--Murakami Algebra and $D^{(2)}_{n+1}$ models | A ``dilute'' generalisation of the Birman--Wenzl--Murakami algebra is
considered. It can be ``Baxterised'' to a solution of the Yang--Baxter algebra.
The $D^{(2)}_{n+1}$ vertex models are examples of corresponding solvable
lattice models and can be regarded as the dilute version of the $B^{(1)}_{n}$
vertex models. | 1994-02-14 | 2009-10-28 | [
"hep-th",
"math.QA"
] | Uwe Grimm |
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