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hep-th/9211037
A Master Equation for Multi-Dimensional Non-Linear Field Theories
A master equation ( $n$ dimensional non--Abelian current conservation law with mutually commuting current components ) is introduced for multi-dimensional non-linear field theories. It is shown that the master equation provides a systematic way to understand 2-d integrable non-linear equations as well as 4-d self-dual ...
1992-11-09
2009-10-22
[ "hep-th" ]
Q-Han Park
hep-th/9211040
Extended N=2 Superconformal Structure of Gravity and W-Gravity Coupled to Matter
We show that almost all string theories, including the bosonic string, the superstring and $W$-string theories, possess a twisted N=2 superconformal symmetry. This enables us to establish a connection between topological gravity and the field theoretical description of matter coupled to gravity. We also show how the \b...
1992-11-09
2009-10-22
[ "hep-th" ]
M. Bershadsky, W. Lerche, D. Nemeschansky and N.P. Warner
hep-th/9211041
Wormholes and symmetries of string effective action
The dimensional reduction technique is adopted to derive string effective action. Wormhole solutions corresponding to space-time geometries $R^1\times S^1\times S^2$ and $R^1\times S^3$ are presented. The duality and SL(2,R) symmetries are implemented to generate new wormhole solutions.
1992-11-09
2009-10-22
[ "hep-th" ]
S. Pratik Khastgir and Jnanadeva Maharana
hep-th/9211038
Renormalization Theory for Interacting Crumpled Manifolds
We consider a continuous model of D-dimensional elastic (polymerized) manifold fluctuating in d-dimensional Euclidean space, interacting with a single impurity via an attractive or repulsive delta-potential (but without self-avoidance interactions). Except for D=1 (the polymer case), this model cannot be mapped onto a ...
1992-11-09
2007-05-23
[ "hep-th", "cond-mat" ]
F. David, B. Duplantier and E. Guitter
hep-th/9211039
2D Supergravity and Integrable Systems
Integrable hierarchy based on the constrained Osp(2$\mid%2) connection is considered. The connection with 2D supergravity and some analogies with the W$_3^{(2)}$ case are given. It is shown that super Virasoro transformations are symmetries of tha hierarchy.
1992-11-09
2007-05-23
[ "hep-th" ]
R.Ch.Rashkov
hep-th/9211046
Non-abelian gauge antisymmetric tensor fields
We construct the theory of non-abelian gauge antisymmetric tensor fields, which generalize the standard Yang-MIlls fields and abelian gauge p-forms. The corresponding gauge group acts on the space of inhomogeneous differential forms and it is shown to be a supergroup. The wide class of generalized Chern-Simons actions ...
1992-11-09
2008-11-26
[ "hep-th" ]
S.N.Solodukhin
hep-th/9211036
The Algebra of Differential Operators on the Circle and $W_{KP}^{(q)}$
Radul has recently introduced a map from the Lie algebra of differential operators on the circle to $W_n$. In this note we extend this map to $W_{KP}^{(q)}$, a recently introduced one-parameter deformation of $W_{KP}$---the second hamiltonian structure of the KP hierarchy. We use this to give a short proof that $W_\inf...
1992-11-08
2020-10-19
[ "hep-th" ]
J.M. Figueroa-O'Farrill and E. Ramos
hep-th/9211034
Dilogarithm Identities in Conformal Field Theory
Dilogarithm identities for the central charges and conformal dimensions exist for at least large classes of rational conformally invariant quantum field theories in two dimensions. In many cases, proofs are not yet known but the numerical and structural evidence is convincing. In particular, close relations exist to fu...
1992-11-06
2009-10-22
[ "hep-th" ]
W. Nahm, A. Recknagel and M. Terhoeven
hep-th/9211035
Vortex Dynamics in Self-Dual Chern-Simons Higgs Systems
We consider vortex dynamics in self-dual Chern-Simons Higgs systems. We show that the naive Aharanov-Bohm phase is the inverse of the statistical phase expected from the vortex spin, and that the self-dual configurations of vortices are degenerate in energy but not in angular momentum. We also use the path integral for...
1992-11-06
2009-10-22
[ "hep-th" ]
Yoonbai Kim and Kimyeong Lee
hep-th/9211031
Unification of Gravity, Gauge and Higgs Fields by Confined Quantum Fields II -Effective Theory-
Dynamics of quantized free fields ( of spin 0 and 1/2 ) contained in a subspace $V_*$ of an N+4 dimensional flat space $V$ is studied. The space $V_*$ is considered as a neighborhood of a four dimensional submanifold $M$ arbitrarily embedded into $V$. We show that Einstein SO(N)-Yang-Mills Higgs theory is induced as a ...
1992-11-06
2009-10-22
[ "hep-th" ]
Toshiki Isse
hep-th/9211033
Quantum symmetries in supersymmetric Toda theories
: We consider two--dimensional supersymmetric Toda theories based on the Lie superalgebras $A(n,n)$, $D(n+1,n)$ and $B(n,n)$ which admit a fermionic set of simple roots and a fermionic untwisted affine extension. In particular, we concentrate on two simple examples, the $B(1,1)$ and $A(1,1)$ theories. Both in the confo...
1992-11-06
2007-05-23
[ "hep-th" ]
Silvia Penati and Daniela Zanon
hep-th/9211029
Operator Formulation of q-Deformed Dual String Model
We present an operator formulation of the q-deformed dual string model amplitude using an infinite set of q-harmonic oscillators. The formalism attains the crossing symmetry and factorization and allows to express the general n-point function as a factorized product of vertices and propagators.
1992-11-05
2009-10-22
[ "hep-th" ]
M. Chaichian, J.F. Gomes and P. Kulish
hep-th/9211028
On the Gupta-Bleuler Quantization of the Hamiltonian Systems with Anomalies
As compared to the previous version, the example of Gupta-Bleuler quantization of massive electrodynamics was added, and the derivation of path integral for anomalous theories is further elaborated. This is the final version to be published in Annals of Physics.
1992-11-05
2011-07-19
[ "hep-th" ]
J. Kowalski-Glikman
hep-th/9211030
Black Hole Remnants and the Information Puzzle
Magnetically charged dilatonic black holes have a perturbatively infinite ground state degeneracy associated with an infinite volume throat region of the geometry. A simple argument based on causality is given that these states do not have a description as ordinary massive particles in a low-energy effective field theo...
1992-11-05
2009-09-17
[ "hep-th" ]
T. Banks, M. O'Loughlin, and A. Strominger
hep-th/9211032
R matrix and bicovariant calculus for the inhomogeneous quantum groups IGL_q(n)
We find the R matrix for the inhomogeneous quantum groups whose homogeneous part is $GL_q(n)$, or its restrictions to $SL_q(n)$,$U_q(n)$ and $SU_q(n)$. The quantum Yang-Baxter equation for R holds because of the Hecke relation for the braiding matrix of the homogeneous subgroup. A bicovariant differential calculus on $...
1992-11-05
2009-10-22
[ "hep-th" ]
Leonardo Castellani
hep-th/9211020
Hamiltonian Approach to $2D$ Supergravity
We study $2D$ supergravity in a covariant and gauge independent way. The theory is obtained from $2D$ bosonic gravity following the square root method and the diffeomorphism superalgebra is explicitly computed. We argue that our approach could be a procedure for introducing nontrivial physics in quantum $2D$ (super)gra...
1992-11-04
2009-10-22
[ "hep-th" ]
J. Gamboa and C. Ramirez
hep-th/9211026
Jordanian Solutions of Simplex Equations
We construct for all $N$ a solution of the Frenkel--Moore $N$--simplex equation which generalizes the $R$--matrix for the Jordanian quantum group.
1992-11-04
2009-10-22
[ "hep-th", "math.QA" ]
Holger Ewen and Oleg Ogievetsky
hep-th/9211016
Conformally invariant off-shell string physics
Using recent advances in the understanding of non-critical strings, we construct a unique, conformally invariant continuation to off-shell momenta of Polyakov amplitudes in critical string theory. Three-point amplitudes are explicitly calculated. These off-shell amplitudes possess some unusual, apparently stringy, char...
1992-11-04
2011-07-19
[ "hep-th" ]
Robert C. Myers and Vipul Periwal
hep-th/9211019
Extended Superconformal Algebras from Classical and Quantum Hamiltonian Reduction
We consider the extended superconformal algebras of the Knizhnik-Bershadsky type with $W$-algebra like composite operators occurring in the commutation relations, but with generators of conformal dimension 1,$\frac{3}{2}$ and 2, only. These have recently been neatly classified by several groups, and we emphasize the cl...
1992-11-04
2007-05-23
[ "hep-th" ]
K. Ito, J.O. Madsen and J.L. Petersen
hep-th/9211015
Entropy and Action of Dilaton Black Holes
We present a detailed calculation of the entropy and action of $U(1)~2$ dilaton black holes, and show that both quantities coincide with one quarter of the area of the event horizon. Our methods of calculation make it possible to find an explanation of the rule $S = A/4$ for all static, spherically symmetric black hole...
1992-11-04
2010-11-19
[ "hep-th" ]
Renata Kallosh, Tomas Ortin and Amanda Peet
hep-th/9211017
Comments on Fractional Superstrings
Using the factorization approach of Gepner and Qiu, I systematically rederive the closed fractional superstring partition functions for K= 4, 8, and 16. For these theories the relationship between the massless graviton and gravi- tino sector and the purely massive sectors is explored. Properties of the massive sectors ...
1992-11-04
2008-02-03
[ "hep-th" ]
Gerald B. Cleaver
hep-th/9211027
Moduli and Twisted Sector Dependence of Z_N x Z_M Orbifold Couplings
We derive the four point correlation function involving four twist fields for arbitrary even dimensional Z_N x Z_M orbifold compactifications. Using techniques from the conformal field theory the three point correlation functions with twist fields are determined. Both the choice of the modular background (compatible wi...
1992-11-04
2010-11-01
[ "hep-th" ]
S. Stieberger
hep-th/9211018
Fusion and the Neveu-Schwarz Singular Vectors
Bauer, Di Francesco, Itzykson and Zuber proposed recently an algorithm to construct all singular vectors of the Virasoro algebra. It is based on the decoupling of (already known) singular fields in the fusion process. We show how to extend their algorithm to the Neveu-Schwarz superalgebra.
1992-11-04
2015-06-26
[ "hep-th" ]
L. Benoit and Y. Saint-Aubin
hep-th/9211023
Approach to Quantum Group deformed Quantum Field Theory
In quantum field theory the creation and annihilation operators that are located at the points in 3-momentum space have commutation relations that are conserved under the action of a $U({\infty})$ group. Here it is shown how to define an appropriate $U_q({\infty})$ which then leads to deformed commutation relations. A ...
1992-11-04
2007-05-23
[ "hep-th" ]
Achim Kempf
hep-th/9211021
Pre-Big-Bang in String Cosmology
The duality-type symmetries of string cosmology naturally lead to a pre-big-bang phase of accelerated evolution as dual counterpart of the decelerated expansion of standard cosmology. We discuss several properties of this scenario, including the possibility that tracks of the pre-big-bang may be found either in the spe...
1992-11-04
2011-05-23
[ "hep-th" ]
M. Gasperini and G. Veneziano
hep-th/9211024
Discretization of the Superparticle Path Integral
Requiring that the path integral has the global symmetries of the classical action and obeys the natural composition property of path integrals, and also that the discretized action has the correct naive continuum limit, we find a viable discretization of the (D=3,N=2) superparticle action.
1992-11-04
2015-06-26
[ "hep-th" ]
J. Grundberg, U. Lindstrom and H. Nordstrom
hep-th/9211025
Lorentz-Covariant Green-Schwarz Superstring Amplitudes
In a recent paper, the BRST formalism for the gauge-fixed N=2 twistor-string was used to calculate Green-Schwarz supersring scattering amplitudes with an arbitrary number of loops and external massless states. Although the gauge-fixing procedure preserved the worldsheet N=2 superconformal invariance of the twistor-stri...
1992-11-04
2011-07-19
[ "hep-th" ]
Nathan Berkovits
hep-th/9211022
Quantum Group Symmetric Bargmann Fock Construction
Usually in quantum mechanics the Heisenberg algebra is generated by operators of position and momentum. The algebra is then represented on an Hilbert space of square integrable functions. Alternatively one generates the Heisenberg algebra by the raising and lowering operators. It is then natural to represent it on the ...
1992-11-04
2007-05-23
[ "hep-th" ]
Achim Kempf
hep-th/9211012
Some Constant Solutions to Zamolodchikov's Tetrahedron Equations
In this letter we present constant solutions to the tetrahedron equations proposed by Zamolodchikov. In general, from a given solution of the Yang-Baxter equation there are two ways to construct solutions to the tetrahedron equation. There are also other kinds of solutions. We present some two-dimensional solutions tha...
1992-11-03
2009-10-22
[ "hep-th" ]
J. Hietarinta
hep-th/9211011
Semiclassical Extremal Blackholes
Extremal black holes are studied in a two dimensional model motivated by a dimensional reduction from four dimensions. Their quantum corrected geometry is calculated semiclassically and a mild singularity is shown to appear at the horizon. Extensions of the geometry past the horizon are not unique but there are conti...
1992-11-03
2010-11-01
[ "hep-th" ]
Sandip P. Trivedi
hep-th/9211013
Black Hole Uncertainties
In this work the quantum theory of two dimensional dilaton black holes is studied using the Wheeler De Witt equation. The solutions correspond to wave functions of the black hole. It is found that for an observer inside the horizon, there are uncertainty relations for the black hole mass and a parameter in the metric d...
1992-11-03
2009-10-22
[ "hep-th" ]
Ulf H. Danielsson
hep-th/9211014
Self-duality and the Supersymmetric KdV Hierarchy
We show how the supersymmetric KdV equation can be obtained from the self-duality condition on Yang-Mills fields in four dimension associated with the graded Lie algebra OSp(2/1). We also obtain the hierarchy of Susy KdV equations from such a condition. We formulate the Susy KdV hierarchy as a vanishing curvature condi...
1992-11-03
2015-06-26
[ "hep-th" ]
A. Das and C. A. P. Galvao
hep-th/9211010
RG flows and resonance scattering amplitudes
We review recent progresses in the study of factorized resonance scattering S-matrices. The resonance amplitudes are introduced through a suitable analytical continuation of the ADE Toda S-matrices. By using the thermodynamic Bethe ansatz approach we are able to compute the ground state energy, which describes a rich p...
1992-11-02
2007-05-23
[ "hep-th" ]
M.J. Martins
hep-th/9211004
$\theta$ Effects in Chern-Simons ${\rm QED}_{2+1}$ with a Four-Fermi Interaction
We investigate the effects of the Chern-Simons coupling on the high energy behavior in the $(2+1)$-dimensional Chern-Simons QED with a four-Fermi interaction. Using the $1/N$ expansion we discuss the Chern-Simons effects on the critical four-Fermi coupling at $O(1/N)$ and the $\beta$ function around it. High-energy beh...
1992-11-02
2009-10-22
[ "hep-th" ]
Junegone Chay, Deog Ki Hong, Taejin Lee, S. H. Park
hep-th/9211003
Chern-Simons States at Genus One
We present a rigorous analysis of the Schr\"{o}dinger picture quantization for the $SU(2)$ Chern-Simons theory on 3-manifold torus$\times$line, with insertions of Wilson lines. The quantum states, defined as gauge covariant holomorphic functionals of smooth $su(2)$-connections on the torus, are expressed by degree $2k$...
1992-11-02
2015-06-26
[ "hep-th" ]
Fernando Falceto and Krzysztof Gawedzki
hep-th/9211009
A Quadratic Deformation of the Heisenberg-Weyl and Quantum Oscillator Enveloping Algebras
A new 2-parameter quadratic deformation of the quantum oscillator algebra and its 1-parameter deformed Heisenberg subalgebra are considered. An infinite dimensional Fock module representation is presented which at roots of unity contains null vectors and so is reducible to a finite dimensional representation. The cycli...
1992-11-02
2009-10-22
[ "hep-th", "cond-mat", "funct-an", "math.FA" ]
Jens UH Petersen
hep-th/9211001
Noncritical Dimensions for Critical String Theory: Life beyond the Calabi-Yau Frontier
A recently introduced framework for the compactification of supersymmetric string theory involving noncritical manifolds of complex dimension $2k+D_{crit}$, $k\geq 1$, is reviewed. These higher dimensional manifolds are spaces with quantized positive Ricci curvature and therefore do not, a priori, describe consistent s...
1992-11-02
2007-05-23
[ "hep-th" ]
Rolf Schimmrigk
hep-th/9211008
Gravitational Phase Transitions in Infrared Quantum Gravity
The conformal anomaly induced sector of four-dimensional quantum gravity (infrared quantum gravity) ---which has been introduced by Antoniadis and Mottola--- is here studied on a curved fiducial background. The one-loop effective potential for the effective conformal factor theory is calculated with accuracy, including...
1992-11-02
2009-09-17
[ "hep-th" ]
E. Elizalde and S.D. Odintsov
hep-th/9211002
Unification of Gravity, Gauge and Higgs Fields by Confined Quantum Fields-Mathematical Formulation-
Dynamics of quantized free fields ( of spin 0 and 1/2 ) contained in a subspace $V_*$ of an N+4 dimensional flat space $V$ is studied. The space $V_*$ is considered as a neighborhood of a four dimensional submanifold $M$ arbitrarily embedded into $V$. We study the system as a simple model of unified theory of gravity (...
1992-11-02
2009-10-22
[ "hep-th" ]
Toshiki Isse
hep-th/9211006
Line Bundles Over Families of (SUPER) Riemann Surfaces. II: The Graded Case
A relative Picard theory in the context of graded manifolds is introduced. A Berezinian calculus and a theory of connections over SUSY-curves are systematically developed, and used to prove a Gauss-Bonnet theorem for line bundles in that setting and to discuss the validity of a flatness theorem
1992-11-02
2009-10-22
[ "hep-th" ]
U. Bruzzo and J.A. Dominguez Perez
hep-th/9211005
Line Bundles Over Families of (SUPER) Riemann Surfaces. I: The Non-Graded Case
A first step towards a systematic theory of relative line bundles over SUSY-curves is presented. In this paper we deal with the case of relative line bundles over families of ordinary Riemann surfaces. Generalizations of the Gauss-Bonnet theorem and of the flatness theorem for line bundles are discussed.
1992-11-02
2009-10-22
[ "hep-th" ]
U. Bruzzo and J.A. Dominguez Perez
hep-th/9211007
Eluding the no-hair conjecture: Black holes in spontaneously broken gauge theories
We study regular and black hole solutions to the coupled classical Einstein--Yang-Mills--Higgs system. It has long been thought that black hole solutions in the spontaneously broken phase of such a theory could have no nontrivial field structure outside of the horizon. We first show that the standard black hole no-hair...
1992-11-02
2009-10-22
[ "hep-th" ]
Brian R. Greene, Samir D. Mathur and Christopher M. O'Neill
hep-th/9210165
All Or Nothing: On the Small Fluctuations of Two-Dimensional String-Theoretic Black Holes
A comprehensive analysis of small fluctuations about two-dimensional string-theoretic and string-inspired black holes is presented. It is shown with specific examples that two-dimensional black holes behave in a radically different way from all known black holes in four dimensions. For both the $SL(2,R)/U(1)$ black hol...
1992-10-31
2008-02-03
[ "hep-th", "gr-qc" ]
Gerald Gilbert and Eric Raiten
hep-th/9210160
Coset Models Obtained by Twisting WZW Models and Stringy Charged Black Holes in Four Dimensions
We show that several WZW coset models can be obtained by applying O(d,d) symmetry transformations (referred to as twisting) on WZW models. This leads to a conjecture that WZW models gauged by U(1)^n subgroup can be obtained by twisting (ungauged) WZW models. In addition, a class of solutions that describe charged black...
1992-10-31
2016-09-06
[ "hep-th" ]
David Gershon
hep-th/9210158
Attractive Forces Between Electrons in QED$_{3}$
Vacuum polarization effects are non-perturbatively incorporated into the photon propagator to eliminate the severe infrared problems characteristic of QED$_3$. The theory is thus rephrased in terms of a massive vector boson whose mass is $e^2/(8\pi)$. Subsequently, it is shown that electron-electron bound states are po...
1992-10-30
2019-08-15
[ "hep-th" ]
H. O. Girotti, M. Gomes, J. L. deLyra, R. S. Mendes, J. R. S. Nascimento and A. J. da Silva
hep-th/9210164
Point-Like Interactions in String Theory Induced by 2-D Topological Gravity
We consider a string theory with two types of strings with geometric interaction. We show that the theory contains strings with constant Dirichlet boundary condition and those strings are glued together by 2-d topological gravity with macroscopic boundaries. A light-cone string field theory is given and the theory has ...
1992-10-30
2009-10-22
[ "hep-th" ]
Zongan Qiu (University of Florida)
hep-th/9210162
On the KP Hierarchy, $\hat{W}_{\infty}$ Algebra, and Conformal SL(2,R)/U(1) Model --- The Classical and Quantum Cases
We give a unified description of our recent results on the the inter-relationship between the integrable infinite KP hierarchy, nonlinear $\hat{W}_{\infty}$ current algebra and conformal noncompact $SL(2,R)/U(1)$ coset model both at the classical and quantum levels. In particular, we present the construction of a quant...
1992-10-30
2007-05-23
[ "hep-th" ]
Feng Yu and Yong-Shi Wu
hep-th/9210157
q-deformed conformal and Poincar{\'e} algebras on quantum 4-spinors
We investigate quantum deformation of conformal algebras by constructing the quantum space for $sl_q(4,C)$. The differential calculus on the quantum space and the action of the quantum generators are studied. We derive deformed $su(4)$ and $su(2,2)$ algebras from the deformed $sl(4)$ algebra using the quantum 4-spinor ...
1992-10-30
2009-10-22
[ "hep-th" ]
Tatsuo Kobayashi and Tsuneo Uematsu
hep-th/9210163
Supersymmetric Soluble Systems Embedded in Supersymmetric Self--Dual Yang--Mills Theory
We perform dimensional reductions of recently constructed self-dual $~N=2$~ {\it supersymmetric} Yang-Mills theory in $~2+2\-$dimensions into two-dimensions. We show that the universal equations obtained in these dimensional reductions can embed supersymmetric exactly soluble systems, such as $~N=1$~ and $~N=2$~ supers...
1992-10-30
2012-08-27
[ "hep-th" ]
S.J. Gates, Jr. and H. Nishino
hep-th/9210159
Non critical super strings on world sheets of constant curvature
We consider correlation functions in Neveu--Schwarz string theory coupled to two dimensional gravity. The action for the 2D gravity consists of the string induced Liouville action and the Jackiw--Teitelboim action describing pure 2D gravity. Then gravitational dressed dimensions of vertex operators are equal to their b...
1992-10-30
2009-10-22
[ "hep-th" ]
Stefan Forste
hep-th/9210161
Electron--Electron Bound States in QED$_{3}$
This paper is dedicated to the study of the existence and the properties of electron-electron bound states in QED$_3$. A detailed analysis of the infrared structure of the perturbative series of the theory is presented. We start by analyzing the two-point Green's function, in the Bloch-Nordsieck approximation. The theo...
1992-10-30
2019-08-15
[ "hep-th" ]
H. O. Girotti, M. Gomes, J. L. deLyra, R. S. Mendes, J. R. S. Nascimento and A. J. da Silva
hep-th/9210156
Quantizing Effective Strings
This TASI lecture covers the material in hep-th/9205026. It reviewed the theory of effective strings, with particular emphasis on the manner in which Lorentz invariance is represented. The quantum properties of an example of an effective string are derived from the underlying field theory. A comparison is made with wha...
1992-10-30
2007-05-23
[ "hep-th" ]
J.D. Cohn and Vipul Periwal
hep-th/9210152
Quantum Braided Groups
A new type of algebras that represent a generalization of both quantum groups and braided groups is defined. These algebras are given by a pair of solutions of the Yang--Baxter equation that satisfy some additional conditions. Several examples are presented.
1992-10-29
2009-10-22
[ "hep-th" ]
Ladislav Hlavaty
hep-th/9210154
New Look at QED$_4$: the Photon as a Goldstone Boson and the Topological Interpretation of Electric Charge
We develop the dual picture for Quantum Electrodynamics in 3+1 dimensions. It is shown that the photon is massless in the Coulomb phase due to spontaneous breaking of the magnetic symmetry group. The generators of this group are the magnetic fluxes through any infinite surface $\Phi_S$. The order parameter for this sym...
1992-10-29
2009-10-22
[ "hep-th" ]
A. Kovner and B. Rosenstein
hep-th/9210151
Zero-Modes, Covariant Anomaly Counterparts and Reducible Connections in Topological Yang-Mills Theory
We introduce the covariant forms for the non-Abelian anomaly counterparts in topological Yang-Mills theory, which satisfies the topological descent equation modulo terms that vanish at the space of BRST fixed points. We use the covariant anomalies as a new set of observables, which can absorb both $\dw$ and $\db$ ghost...
1992-10-29
2007-05-23
[ "hep-th" ]
Jae-Suk Park
hep-th/9210155
Additional symmetries of KP, Grassmannian, and the string equation II
As in the first part of this paper (hep-th 9204092), solutions to a string equation are regarded as fixed points of some additional symmetries of a hierarchy of integrable equations. In this part matrix hierarchies are studied: the multi-component KP and KdV hierarchies, and the modified KdV hierarchy as their reductio...
1992-10-29
2015-06-26
[ "hep-th" ]
L. A. Dickey
hep-th/9210153
Harmonic potentials for symmetric quaternionic sigma-models
A reference has been corrected
1992-10-29
2009-10-22
[ "hep-th" ]
A. Galperin and O. Ogievetsky
hep-th/9210143
The $W$ algebra structure of $N=2$ $CP_{n}$ coset models
We discuss the $N=2$ super $W$ algebras from the hamiltonian reduction of affine Lie superalgebras $A(n|n-1)^{(1)}$ and $A(n|n)^{(1)}$. From the quantum hamiltonian reduction of $A(n|n-1)^{(1)}$ we get the free field realization of $N=2$ $CP_{n}$ super coset models. In the case of the affine Lie superalgebras $A(n|n)^{...
1992-10-28
2007-05-23
[ "hep-th" ]
Katsushi Ito
hep-th/9210149
Driving Operators Relevant: A Feature of Chern-Simons Interaction
By computing anomalous dimensions of gauge invariant composite operators $(\bar\psi\psi)^n$ and $(\phi^*\phi)^n$ in Chern-Simons fermion and boson models, we address that Chern-Simons interactions make these operators more relevant or less irrelevant in the low energy region. We obtain a critical Chern-Simons fermion c...
1992-10-28
2009-10-22
[ "hep-th", "cond-mat" ]
Wei Chen (U of British Columbia) and Miao Li (UC Santa Barbara)
hep-th/9210150
Bicovariant Quantum Algebras and Quantum Lie Algebras
A bicovariant calculus of differential operators on a quantum group is constructed in a natural way, using invariant maps from \fun\ to \uqg\ , given by elements of the pure braid group. These operators --- the `reflection matrix' $Y \equiv L^+ SL^-$ being a special case --- generate algebras that linearly close under ...
1992-10-28
2009-10-22
[ "hep-th" ]
Peter Schupp, Paul Watts, and Bruno Zumino
hep-th/9210147
Renormalization of Tamm-Dancoff Integral Equations
During the last few years, interest has arisen in using light-front Tamm-Dancoff field theory to describe relativistic bound states for theories such as QCD. Unfortunately, difficult renormalization problems stand in the way. We introduce a general, non-perturbative approach to renormalization that is well suited for t...
1992-10-28
2009-10-22
[ "hep-th", "hep-ph" ]
Brett van de Sande and Stephen Pinsky
hep-th/9210148
The l-State Boson Algebra as a Non-Standard Quantum Double and its Universal R-Matrix for Yang-Baxer Equation
In this paper we construct a new quantum double by endowing the l-state bosonalgebra with a non-trivial Hopf algebra structure,which is not a q-deformation of the Lie algebra or superalgebra.The universal R-matrix for the Yang-Baxter equation associated with this new quantum group structure is obtained explicitly.By bu...
1992-10-28
2007-05-23
[ "hep-th" ]
Wei Li, Chang-Pu Sun, Mo-Lin Ge
hep-th/9210146
Thermodynamics of the 3-State Potts Spin Chain
We demonstrate the relation of the infrared anomaly of conformal field theory with entropy considerations of finite temperature thermodynamics for the 3-state Potts chain. We compute the free energy and compute the low temperature specific heat for both the ferromagnetic and anti-ferromagnetic spin chains, and find the...
1992-10-28
2009-10-22
[ "hep-th", "cond-mat" ]
Rinat Kedem
hep-th/9210145
Generalized Spin Systems and $\sigma$--Models
A generalization of the $SU(2)$--spin systems on a lattice and their continuum limit to an arbitrary compact group $G$ is discussed. The continuum limits are, in general, non--relativistic $\sigma$--model type field theories targeted on a homogeneous space $G/H$, where $H$ contains the maximal torus of $G$. In the ferr...
1992-10-28
2010-11-01
[ "hep-th", "cond-mat" ]
S. Randjbar--Daemi, Abdus Salam, J. Strathdee
hep-th/9210142
Recent Efforts in the Computation of String Couplings:
We review recent advances towards the computation of string couplings. Duality symmetry, mirror symmetry, Picard-Fuchs equations, etc. are some of the tools.
1992-10-28
2009-10-22
[ "hep-th" ]
Albrecht Klemm and Stefan Theisen
hep-th/9210138
Comment on $q$-deformation in Second Quantization Procedure
When the $q$-deformed creation and annihilation operators are used in a second quantization procedure, the algebra satisfied by basis vectors (orthogonal complete set) should be also deformed such as a field operator remains invariant under the coaction of the quantum group. In the 1+1 dimensional quantum field theorie...
1992-10-27
2017-02-01
[ "hep-th" ]
Kazuhiko Odaka
hep-th/9210139
On Anomaly-free Supergravity as an Effective String Theory
The equations of motion of anomaly-free supergravity are shown to fulfil (to all orders in $\alpha'$) a differential condition corresponding to the one relating the Weyl anomaly coefficients for a non-linear sigma model representing a (heterotic) string propagating in a non-trivial background. This supports the possibi...
1992-10-27
2009-10-22
[ "hep-th" ]
A.K.Tollsten
hep-th/9210140
Differential Renormalization of a Yukawa Model with $\gamma_5$
We present a two-loop computation of the beta functions and the anomalous dimensions of a $\gamma_5$-Yukawa model using differential renormalization. The calculation is carried out in coordinate space without modifying the space-time dimension and no ad-hoc prescription for $\gamma_5$ is needed. It is shown that this...
1992-10-27
2009-10-22
[ "hep-th" ]
Cristina Manuel
hep-th/9210141
Braided Momentum Structure of the q-Poincare Group
The $q$-Poincar\'e group of \cite{SWW:inh} is shown to have the structure of a semidirect product and coproduct $B\cocross \widetilde{SO_q(1,3)}$ where $B$ is a braided-quantum group structure on the $q$-Minkowski space of 4-momentum with braided-coproduct $\und\Delta \vecp=\vecp\tens 1+1\tens \vecp$. Here the necessar...
1992-10-27
2009-10-22
[ "hep-th" ]
S. Majid
hep-th/9210137
Actions for Integrable Systems and Deformed Conformal Theories
I report on work on a Lagrangian formulation for the simplest 1+1 dimensional integrable hierarchies. This formulation makes the relationship between conformal field theories and (quantized) 1+1 dimensional integrable hierarchies very clear.
1992-10-26
2007-05-23
[ "hep-th" ]
Jeremy Schiff
hep-th/9210136
Two Dimensional Quantum Chromodynamics on a Cylinder
We study two dimensional Quantum Chromodynamics with massive quarks on a cylinder in a light--cone formalism. We eliminate the non--dynamical degrees of freedom and express the theory in terms of the quark and Wilson loop variables. It is possible to perform this reduction without gauge fixing. The fermionic Fock space...
1992-10-26
2010-11-01
[ "hep-th" ]
S.Guruswamy and S.G.Rajeev
hep-th/9210133
Phase Space Quantum Mechanics on the Anti-De Sitter Spacetime and its Poincar\'e Contraction
In this work we propose an alternative description of the quantum mechanics of a massive and spinning free particle in anti-de~Sitter spacetime, using a phase space rather than a spacetime representation. The regularizing character of the curvature appears clearly in connection with a notion of localization in phase sp...
1992-10-26
2009-10-22
[ "hep-th", "gr-qc" ]
A.M. El Gradechi and S. De Bi\`evre
hep-th/9210134
$W_3$ string scattering
The group theoretic method is extended to include fields with a background charge. This formalism is used to compute the tree level scattering for $W_3$ strings. The scattering amplitudes involve Ising model correlation functions. A detailed study of the four tachyon amplitude shows that the $W_3$ string must possess a...
1992-10-26
2009-10-22
[ "hep-th" ]
M. D. Freeman and P. West
hep-th/9210135
Anticommuting Variables, Fermionic Path Integrals and Supersymmetry
(Replacement because mailer changed `hat' for supercript into something weird. The macro `\sp' has been used in place of the `hat' character in this revised version.) Fermionic Brownian paths are defined as paths in a space para\-metr\-ised by anticommuting variables. Stochastic calculus for these paths, in conjunction...
1992-10-26
2009-10-22
[ "hep-th" ]
Alice Rogers
hep-th/9210132
The Search for Zoo-Perparticles
This paper reviews the covariant formalism of N=1, D=10 classical superparticle models. It discusses the local invariances of a number of superparticle actions and highlights the problem of finding a covariant quantization scenario. Covariant quantization has proved problematic, but it has motivated in seeking alternat...
1992-10-25
2007-05-23
[ "hep-th" ]
J.L. Vazquez-Bello
hep-th/9210130
The Algebra of the Energy-Momentum Tensor and the Noether Currents in Classical Non-Linear Sigma Models
The recently derived current algebra of classical non-linear sigma models on arbitrary Riemannian manifolds is extended to include the energy-momentum tensor. It is found that in two dimensions the energy-momentum tensor $\theta_{\mu\nu}$, the Noether current $j_\mu$ associated with the global symmetry of the theory an...
1992-10-23
2015-06-26
[ "hep-th" ]
M.Forger, J.Laartz, U.Schaeper
hep-th/9210131
Novel Spin and Statistical Properties of Nonabelian Vortices
We study the statistics of vortices which appear in (2+1)--dimensional spontaneously broken gauge theories, where a compact group G breaks to a finite nonabelian subgroup H. Two simple models are presented. In the first, a quantum state which is symmetric under the interchange of a pair of indistinguishable vortices ca...
1992-10-23
2009-10-22
[ "hep-th" ]
Lee Brekke, Hans Dykstra, Adam F. Falk and Tom D. Imbo
hep-th/9210126
A Multi-Grid Method for the Resolution of Thermodynamic Bethe Ansatz Equations
We present a multi-grid algorithm in order to solve numerically the thermodynamic Bethe ansatz equations. We specifically adapt the program to compute the data of the conformal field theory reached in the ultraviolet limit. Submitted to Computer Physics Communications
1992-10-23
2009-10-22
[ "hep-th" ]
A. Borzi, A.Koubek
hep-th/9210129
Construction of Modular Branching Functions from Bethe's Equations in the 3-State Potts Chain
We use the single particle excitation energies and the completeness rules of the 3-state anti-ferromagnetic Potts chain, which have been obtained from Bethe's equation, to compute the modular invariant partition function. This provides a fermionic construction for the branching functions of the $D_4$ representation of ...
1992-10-23
2009-10-22
[ "hep-th", "cond-mat" ]
Rinat Kedem and Barry M. Mccoy
hep-th/9210128
Classical R-matrix structure for the Calogero model
A classical R-matrix structure is described for the Lax representation of the integrable n-particle chains of Calogero-Olshanetski-Perelo\-mov. This R-matrix is dynamical, non antisymmetric and non-invertible. It immediately triggers the integrability of the Type I, II and III potentials, and the algebraic structures a...
1992-10-23
2009-10-22
[ "hep-th" ]
J. Avan and M. Talon
hep-th/9210127
A Note on the Green - Schwarz Mechanism in Open - String Theories
An interesting feature of some open superstring models in $D < 10$ is the simultaneous presence, in the spectrum, of gauge fields and of a number of antisymmetric tensor fields. In these cases the Green-Schwarz mechanism can (and does) take a generalized form, resulting from the combined action of all the antisymmetric...
1992-10-23
2014-11-18
[ "hep-th" ]
Augusto Sagnotti
hep-th/9210125
Multi-particle structure in the Z_n-chiral Potts models
We calculate the lowest translationally invariant levels of the Z_3- and Z_4-symmetrical chiral Potts quantum chains, using numerical diagonalization of the hamiltonian for N <= 12 and N <= 10 sites, respectively, and extrapolating N to infinity. In the high-temperature massive phase we find that the pattern of the low...
1992-10-22
2009-10-22
[ "hep-th" ]
G. von Gehlen and A. Honecker
hep-th/9210120
Stringy Quantum Effects in 2-Dimensional Black-Hole
We discuss the classical 2-dim. black-hole in the framework of the non-perturbative formulation (in terms of non-relativistic fermions) of c=1 string field theory. We identify an off-shell operator whose classical equation of motion is that of tachyon in the classical graviton-dilaton black-hole background. The black-h...
1992-10-22
2009-10-22
[ "hep-th" ]
Avinash Dhar, Gautam Mandal and Spenta R. Wadia
hep-th/9210123
Cauchy Horizons, Thermodynamics and Closed Time-like Curves in Planar Supersymmetric Space-times
We study geodesically complete, singularity free space-times induced by supersymmetric planar domain walls interpolating between Minkowski and anti-de Sitter ($AdS_4$) vacua. A geodesically complete space-time without closed time-like curves includes an infinite number of semi-infinite Minkowski space-times, separated ...
1992-10-22
2009-09-17
[ "hep-th", "gr-qc" ]
M. Cveti\v{c}, R. Davis, S. Griffies, and H. H. Soleng
hep-th/9210121
Marginal Deformations of WZNW and Coset Models from O(d,d) Transformation
We show that O(2,2) transformation of SU(2) WZNW model gives rise to marginal deformation of this model by the operator $\int d^2 z J(z)\bar J(\bar z)$ where $J$, $\bar J$ are U(1) currents in the Cartan subalgebra. Generalization of this result to other WZNW theories is discussed. We also consider O(3,3) transformatio...
1992-10-22
2016-09-06
[ "hep-th" ]
S.F. Hassan and Ashoke Sen
hep-th/9210124
Polynomials for Torus Links from Chern-Simons Gauge Theories
Invariant polynomials for torus links are obtained in the framework of the Chern-Simons topological gauge theory. The polynomials are computed as vacuum expectation values on the three-sphere of Wilson line operators representing the Verlinde algebra of the corresponding rational conformal field theory. In the case of ...
1992-10-22
2009-10-22
[ "hep-th" ]
J. M. Isidro, J. M. F. Labastida and A. V. Ramallo
hep-th/9210122
Characters for Coset Conformal Field Theories
We solve the Kac-Moody branching equation to obtain explicit formulae for the characters of coset conformal field theories and then apply these to specific examples to determine the integer shift of the conformal weights of primary fields. We also present an example of coset conformal field theory which cannot be descr...
1992-10-22
2011-07-19
[ "hep-th" ]
David C. Dunbar and Keith G. Joshi
hep-th/9210115
Semiclassical approximation in Batalin-Vilkovisky formalism
The geometry of supermanifolds provided with $Q$-structure (i.e. with odd vector field $Q$ satisfying $\{ Q,Q\} =0$), $P$-structure (odd symplectic structure ) and $S$-structure (volume element) or with various combinations of these structures is studied. The results are applied to the analysis of Batalin-Vilkovisky ap...
1992-10-21
2010-11-01
[ "hep-th", "math.DG" ]
Albert Schwarz
hep-th/9210116
Non-Perturbative Solutions of String Theory in Gravitational Backgrounds
We study bosonic string theory in a gravitational background. We show that either left-movers or right-movers are the only background independent non-perturbative solutions of the field equations for an arbitrary static metric. They are stable and have a conserved topological charge being therefore topological solitons...
1992-10-21
2009-10-22
[ "hep-th" ]
Octavio A. Mattos and Victor O. Rivelles
hep-th/9210117
On the KP Hierarchy, $\hat{W}_{\infty}$ Algebra, and Conformal SL(2,R)/U(1) Model: I. The Classical Case
In this paper we study the inter-relationship between the integrable KP hierarchy, nonlinear $\hat{W}_{\infty}$ algebra and conformal noncompact $SL(2,R)/U(1)$ coset model at the classical level. We first derive explicitly the Possion brackets of the second Hamiltonian structure of the KP hierarchy, then use it to defi...
1992-10-21
2009-10-22
[ "hep-th" ]
Feng Yu and Yong-Shi Wu
hep-th/9210118
On the KP Hierarchy, $\hat{W}_{\infty}$ Algebra, and Conformal SL(2,R)/U(1) Model: II. The Quantum Case
This paper is devoted to constructing a quantum version of the famous KP hierarchy, by deforming its second Hamiltonian structure, namely the nonlinear $\hat{W}_{\infty}$ algebra. This is achieved by quantizing the conformal noncompact $SL(2,R)_{k}/U(1)$ coset model, in which $\hat{W}_{\infty}$ appears as a hidden curr...
1992-10-21
2009-10-22
[ "hep-th" ]
Feng Yu and Yong-Shi Wu
hep-th/9210114
Natural Supergravity Inflation
We show that a single uncharged chiral superfield, canonically coupled to \mbox{$N=1$} supergravity with vanishing superpotential, naturally drives inflation in the early universe for a class of simple Kahler potentials. Inflation occurs due to the one-loop generation of a Kahler anomaly proportional to $\R^2$. The coe...
1992-10-21
2011-07-19
[ "hep-th" ]
Gabriel Lopes Cardoso and Burt A. Ovrut
hep-th/9210113
Regularization and Renormalization of Chern-Simons Theory
We analyze some features of the perturbative quantization of Chern-Simons theory (CST) in the Landau gauge. In this gauge the theory is known to be perturbatively finite. We consider the renormalization scheme in which the renormalized parameter $k$ equals the bare or classical one and show that it constitutes a natura...
1992-10-21
2007-05-23
[ "hep-th" ]
G. Giavarini, C. P. Martin and F. Ruiz Ruiz
hep-th/9210119
The Dark Side of String Theory: Black Holes and Black Strings
Solutions to low energy string theory describing black holes and black strings are reviewed. Many of these solutions can be obtained by applying simple solution generating transformations to the Schwarzschild metric. In a few cases, the corresponding exact conformal field theory is known. Various properties of these so...
1992-10-21
2007-05-23
[ "hep-th", "gr-qc" ]
Gary T. Horowitz
hep-th/9210106
Solving Topological 2D Quantum Gravity Using Ward Identities
A topological procedure for computing correlation functions for any (1,q) model is presented. Our procedure can be used to compute any correlation function on the sphere as well as some correlation functions at higher genus. We derive new and simpler recursion relations that extend previously known results based on W c...
1992-10-20
2009-10-22
[ "hep-th" ]
David Montano and Gil Rivlis
hep-th/9210108
Complex structures and the Elie Cartan approach to the theory of spinors
Each isometric complex structure on a 2$\ell$-dimensional euclidean space $E$ corresponds to an identification of the Clifford algebra of $E$ with the canonical anticommutation relation algebra for $\ell$ ( fermionic) degrees of freedom. The simple spinors in the terminology of E.~Cartan or the pure spinors in the one ...
1992-10-20
2007-05-23
[ "hep-th" ]
Michel Dubois-Violette
hep-th/9210111
Gauge Symmetries,Topology and Quantisation
The following two loosely connected sets of topics are reviewed in these lecture notes: 1) Gauge invariance, its treatment in field theories and its implications for internal symmetries and edge states such as those in the quantum Hall effect. 2) Quantisation on multiply connected spaces and a topological proof the spi...
1992-10-20
2015-06-26
[ "hep-th" ]
A.P. Balachandran
hep-th/9210112
Anyons on a Torus
We prove the equivalence between anyon quantum mechanics on a torus and Chern-Simons gauge theory. It is also shown that the Hamiltonian and total momenta commute among themselves only in the physical Hilbert space.
1992-10-20
2009-10-22
[ "hep-th" ]
Yutaka Hosotani and Choon-Lin Ho
hep-th/9210110
Quantum Einstein-Maxwell Fields: A Unified Viewpoint from the Loop Representation
We propose a naive unification of Electromagnetism and General Relativity based on enlarging the gauge group of Ashtekar's new variables. We construct the connection and loop representations and analyze the space of states. In the loop representation, the wavefunctions depend on two loops, each of them carrying informa...
1992-10-20
2009-12-30
[ "hep-th", "gr-qc" ]
R. Gambini, J. Pullin
hep-th/9210109
Lattice Integrable Systems of Haldane-Shastry Type
We present a new lattice integrable system in one dimension of the Haldane-Shastry type. It consists of spins positioned at the static equilibrium positions of particles in a corresponding classical Calogero system and interacting through an exchange term with strength inversely proportional to the square of their dist...
1992-10-20
2009-10-22
[ "hep-th", "cond-mat" ]
Alexios P. Polychronakos