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hep-th/9204064
Diagonalization of the XXZ Hamiltonian by Vertex Operators
We diagonalize the anti-ferroelectric XXZ-Hamiltonian directly in the thermodynamic limit, where the model becomes invariant under the action of affine U_q( sl(2) ). Our method is based on the representation theory of quantum affine algebras, the related vertex operators and KZ equation, and thereby bypasses the usua...
1992-04-22
2016-09-06
[ "hep-th" ]
Brian Davies, Omar Foda, Michio Jimbo, Tetsuji Miwa and Atsushi Nakayashiki
hep-th/9204071
Twistor-like superstrings with D = 3, 4, 6 target-superspace and N = (1,0), (2,0), (4,0) world-sheet supersymmetry
We construct a manifestly $N=(4,0)$ world-sheet supersymmetric twistor-like formulation of the $D=6$ Green-Schwarz superstring, using the principle of double (target-space and world-sheet) Grassmann analyticity. The superstring action contains two Lagrange multiplier terms and a Wess-Zumino term. They are written down ...
1992-04-22
2008-11-26
[ "hep-th" ]
F. Delduc, E.Ivanov and E. Sokatchev
hep-th/9204067
W--Gravity and Generalized Lax Equations for (super) Toda Theory
We generalize the Lax pair and B\"acklund transformations for Toda and N=1 super Toda equations to the case of arbitrary worldsheet background geometry. We use the fact that the Toda equations express constant curvature conditions, which arise naturally from flatness conditions equivalent to the W--gravity equations of...
1992-04-22
2009-10-22
[ "hep-th" ]
Kenichro Aoki and Eric D'Hoker
hep-th/9204072
Quantum Emission from Two-Dimensional Black Holes
We investigate Hawking radiation from two-dimensional dilatonic black holes using standard quantization techniques. In the background of a collapsing black hole solution the Bogoliubov coefficients can be exactly determined. In the regime after the black hole has settled down to an `equilibrium' state but before the ba...
1992-04-22
2009-11-27
[ "hep-th" ]
Steven B. Giddings and W.M. Nelson
hep-th/9204069
Ashtekar's Variables for Arbitrary Gauge Group
A generally covariant gauge theory for an arbitrary gauge group with dimension $\geq 3$, that reduces to Ashtekar's canonical formulation of gravity for SO(3,C), is presented. The canonical form of the theory is shown to contain only first class constraints.
1992-04-22
2010-01-06
[ "hep-th", "gr-qc" ]
Peter Peldan
hep-th/9204070
Gravitational and Schwinger model anomalies: how far can the analogy go?
We describe the most general treatment of all anomalies both for chiral and massless Dirac fermions, in two-dimensional gravity. It is shown that for this purpose two regularization dependent parameters are present in the effective action. Analogy to the \sc\ model is displayed corresponding to a specific choice of the...
1992-04-22
2009-10-22
[ "hep-th" ]
A.Smailagic, E.Spallucci
hep-th/9204065
Field-Antifield formalism for Anomalous Gauge Theories
An extension of the Field-Antifield formalism to treat anomalous gauge theories with a closed, irreducible classical gauge algebra is proposed. Introducing extra degrees of freedom, we construct the gauge transformations for these new fields, the Wess-Zumino term and the corresponding measure.
1992-04-21
2016-08-14
[ "hep-th" ]
Joaquim Gomis and Jordi Par\'is
hep-th/9204066
Syncyclons or Solitonic Signals from Extra Dimensions
In theories where spacetime is a direct product of Minkowski space ($M^4$) and a d dimensional compact space ($K^d$), there can exist topological solitons that simultaneously wind around $R^3$ (or $R^2$ or $R^1$) in $M^4$ and the compact dimensions. A paradigmatic non-gravitational example of such ``co-winding" soliton...
1992-04-21
2011-02-09
[ "hep-th" ]
C.S.Aulakh
hep-th/9204060
Landau-Ginzburg String Vacua
We investigate a class of (2,2) supersymmetric string vacua which may be represented as Landau--Ginzburg theories with a quasihomogeneous potential which has an isolated singularity at the origin. There are at least three thousand distinct models in this class. All vacua of this type lead to Euler numbers which lie in ...
1992-04-20
2009-10-22
[ "hep-th" ]
A.Klemm and R.Schimmrigk
hep-th/9204061
Marinari-Parisi and Supersymmetric Collective Field Theory
A field theoretic formulation of the Marinari-Parisi supersymmetric matrix model is established and shown to be equivalent to a recently proposed supersymmetrization of the bosonic collective string field theory. It also corresponds to a continuum description of super-Calogero models. The perturbation theory of the mod...
1992-04-20
2007-05-23
[ "hep-th" ]
J.P. Rodrigues and A.J. van Tonder
hep-th/9204062
Hawking radiation: a particle physics perspective
It has recently become fashionable to regard black holes as elementary particles. By taking this suggestion seriously it is possible to cobble together an elementary particle physics based estimate for the decay rate $(\hbox{black hole})_i \to (\hbox{black hole})_f + (\hbox{massless quantum})$. This estimate of the spo...
1992-04-20
2009-10-22
[ "hep-th" ]
Matt Visser
hep-th/9204059
Path-Integral for Quantum Tunneling
Path-integral for theories with degenerate vacua is investigated. The origin of the non Borel-summability of the perturbation theory is studied. A new prescription to deal with small coupling is proposed. It leads to a series, which at low orders and small coupling differs from the ordinary perturbative series by nonpe...
1992-04-20
2009-10-22
[ "hep-th" ]
Hideaki Aoyama and Arihiro Tamura
hep-th/9204063
Solving Virasoro Constraints on Integrable Hierarchies via the Kontsevich-Miwa Transform
We solve Virasoro constraints on the KP hierarchy in terms of minimal conformal models. The constraints we start with are implemented by the Virasoro generators depending on a background charge $Q$. Then the solutions to the constraints are given by the theory which has the same field content as the David-Distler-Kawai...
1992-04-20
2011-03-04
[ "hep-th" ]
A.M.Semikhatov
hep-th/9204058
Algebraic Structures of Topological Yang-Mills Theory
We discuss the algebraic structure of the various BRST symmetries associated with topological Yang-Mills theory as a generalization of the BRS analysis developed for the non-Abelian anomaly in the local Yang-Mills theory. We show that our BRST algebra leads to an extended {\it Russian formula\/} and {\it descent equati...
1992-04-20
2008-02-03
[ "hep-th" ]
Jae-Suk Park
hep-th/9204054
Heisenberg XXZ Model and Quantum Galilei Group
The 1D Heisenberg spin chain with anisotropy of the XXZ type is analyzed in terms of the symmetry given by the quantum Galilei group Gamma_q(1). We show that the magnon excitations and the s=1/2, n-magnon bound states are determined by the algebra. Thus the Gamma_q(1) symmetry provides a description that naturally indu...
1992-04-17
2009-10-22
[ "hep-th" ]
F.Bonechi, E.Celeghini, R. Giachetti, E. Sorace and M.Tarlini
hep-th/9204053
Extra States and Symmetries in D<2 Closed String Theory
We show that there is (p-1)(p'-1) dimensional semi-relative BRST cohomology at each non-positive ghost number in the (p,p') minimal conformal field theory coupled to two dimensional quantum gravity. These closed string states are related to currents and symmetry charges of `exotic' ghost number. We investigate the symm...
1992-04-17
2009-10-07
[ "hep-th" ]
Shamit Kachru
hep-th/9204056
Chern-Simons Solitons, Toda Theories and the Chiral Model
The two-dimensional self-dual Chern--Simons equations are equivalent to the conditions for static, zero-energy solutions of the $(2+1)$-dimensional gauged nonlinear Schr\"odinger equation with Chern--Simons matter-gauge dynamics. In this paper we classify all finite charge $SU(N)$ solutions by first transforming the se...
1992-04-17
2009-10-22
[ "hep-th" ]
Gerald Dunne and Roman Jackiw
hep-th/9204057
"Peireles Substitution" and Chern-Simons Quantum Mechanics
An elementary derivation is given for the ``Peierles substitution'' used in projecting dynamics in a strong magnetic field onto the lowest Landau level. The projection of wavefunctions and the ordering prescription for the projected Hamiltonian is explained.
1992-04-17
2009-10-22
[ "hep-th" ]
Gerald Dunne and Roman Jackiw
hep-th/9204055
Covariant Phase Space Formulation of Parametrized Field Theories
Parametrized field theories, which are generally covariant versions of ordinary field theories, are studied from the point of view of the covariant phase space: the space of solutions of the field equations equipped with a canonical (pre)symplectic structure. Motivated by issues arising in general relativity, we focus ...
1992-04-17
2009-10-22
[ "hep-th" ]
C. G. Torre
hep-th/9204052
Correlation functions from two-dimensional string Ward identities
We rederive the $w_\infty$ Ward identities, starting from the existence of trivial linearized gauge invariances, and using the method of canceled propagators in the operator formalism. Recursion relations for certain classes of correlation functions are derived, and these correlation function are calculated exactly. We...
1992-04-16
2009-10-22
[ "hep-th" ]
Igor R. Klebanov and Andrea Pasquinucci
hep-th/9204051
String amplitudes in arbitrary dimensions
We calculate gravitational dressed tachyon correlators in non critcal dimensions. The 2D gravity part of our theory is constrained to constant curvature. Then scaling dimensions of gravitational dressed vertex operators are equal to their bare conformal dimensions. Considering the model as d+2 dimensional critical stri...
1992-04-16
2009-10-22
[ "hep-th" ]
S. Forste
hep-th/9204048
Intersections forms and the geometry of lattice Chern-Simons theory
We show that it is possible to formulate Abelian Chern-Simons theory on a lattice as a topological field theory. We discuss the relationship between gauge invariance of the Chern-Simons lattice action and the topological interpretation of the canonical structure. We show that these theories are exactly solvable and hav...
1992-04-16
2009-10-22
[ "hep-th" ]
David Eliezer and Gordon Semenoff
hep-th/9204050
Topological Gauged WZW Models and 2D Gravity
We study the "topological gauged WZW model associated with $SU(2)/U(1)$",which is defined as the twisted version of the corresponding supersymmetric gauged WZW model. It is shown that this model is equivalent to a topological conformal field theory characterized by two independent topological conformal algebras, one of...
1992-04-16
2009-10-22
[ "hep-th" ]
Toshio Nakatsu and Yuji Sugawara
hep-th/9204049
Scattering of Open and Closed Strings in 1+1 Dimensions
The ground ring structure of 1+1 dimensional string theory leads to an infinite set of non linear recursion relations among the `bulk' scattering amplitudes of open and closed tachyons on the disk, which fix them uniquely. The relations are generated by the action of the ring on the tachyon modules; associativity of th...
1992-04-16
2010-11-01
[ "hep-th" ]
M. Bershadsky and D. Kutasov
hep-th/9204047
Strong Coupling Qed Breaks Chiral Symmetry
We show that the strong coupling limit of d-dimensional quantum electrodynamics with $2^{d}/2^{[d/2]}$ flavors of fermions can be mapped onto the s=1/2 quantum Heisenberg antiferromagnet in d-1 space dimensions. The staggered N\'eel order parameter is the expectation value of a mass operator in QED and the spin-waves a...
1992-04-15
2015-06-26
[ "hep-th" ]
Gordon Semenoff
hep-th/9204046
Rotating Charged Black Hole Solution in Heterotic String Theory
We construct a solution of the classical equations of motion arising in the low energy effective field theory for heterotic string theory. This solution describes a black hole in four dimensions carrying mass $M$, charge $Q$ and angular momentum $J$. The extremal limit of the solution is discussed.
1992-04-15
2009-09-15
[ "hep-th" ]
Ashoke Sen
hep-th/9204043
BRST-Fixed Points and Topological Conformal Symmetry
We study the twisted version of the supersymmetric $G/T=SU(n)/U(1)^{\otimes(n-1)} gauged Wess-Zumino-Witten model. By studying its fixed points under BRST transformation this model is shown to be reduced to a simple topological field theory, that is, the topological matter system in the K.Li's theory of 2 dimensional g...
1992-04-15
2015-06-26
[ "hep-th" ]
Toshio Nakatsu and Yuji Sugawara
hep-th/9204044
Perturbation Theory for Antisymmetric Tensor Fields in Four Dimensions
Perturbation theory for a class of topological field theories containing antisymmetric tensor fields is considered. These models are characterized by a supersymmetric structure which allows to establish their perturbative finiteness.
1992-04-15
2015-06-26
[ "hep-th" ]
Nicola Maggiore and Silvio P. Sorella
hep-th/9204039
Membrane Pregeometry and the Vanishing of the Cosmological Constant
We suggest a model of induced gravity in which the fundamental object is a relativistic {\it membrane} minimally coupled to a background metric and to an external three index gauge potential. We compute the low energy limit of the two-loop effective action as a power expansion in the surface tension. A generalized boot...
1992-04-15
2010-04-06
[ "hep-th" ]
A.Aurilia, A.Smailagic, E.Spallucci
hep-th/9204045
Non-Renormalization Properties of the Chern-Simons Action Coupled to Matter
We analyze an abelian gauge model in 3 dimensions which includes massless scalar matter fields. By controlling the trace anomalies with a local dilatation Ward identity, we show that, in perturbation theory and within the BPHZL scheme, the Chern-Simons term has no radiative corrections. This implies, in particular, the...
1992-04-15
2009-10-22
[ "hep-th" ]
Alberto Blasi, Nicola Maggiore and Silvio P. Sorella
hep-th/9204042
Asymptotic Behavior of 2-d Black Holes
We consider the solutions of the field equations for the large $N$ dilaton gravity model in $1+1$ dimensions recently proposed by Callan, Giddings, Harvey and Strominger (CGHS). We find time dependant solutions with finite mass and vanishing flux in the weak coupling regime, as well as solutions which lie entirely in t...
1992-04-15
2009-10-22
[ "hep-th" ]
E. Raiten
hep-th/9204035
Picard-Fuchs Equations and Special Geometry
We investigate the system of holomorphic differential identities implied by special K\"ahlerian geometry of four-dimensional N=2 supergravity. For superstring compactifications on \cy threefolds these identities are equivalent to the Picard-Fuchs equations of algebraic geometry that are obeyed by the periods of the hol...
1992-04-15
2015-06-26
[ "hep-th" ]
A. Ceresole, R. D'Auria, S. Ferrara, W. Lerche and J. Louis
hep-th/9204038
On Realisations of W Algebras
It has been known for some time that $W$ algebras can be realised in terms of an energy-momentum tensor together with additional free scalar fields. Some recent results have shown that more general realisations are also possible. In this paper, we consider a wide class of realisations that may be obtained from the Miur...
1992-04-14
2009-10-07
[ "hep-th" ]
H. Lu and C.N. Pope
hep-th/9204037
Yukawa Couplings for Bosonic $Z_N$ Orbifolds: Their Moduli and Twisted Sector Dependence
The three point correlation functions with twist fields are determined for bosonic $Z_N$ orbifolds. Both the choice of the modular background (compatible with the twist) and of the (higher) twisted sectors involved are fully general. We point out a necessary restriction on the set of instantons contributing to twist fi...
1992-04-14
2010-11-01
[ "hep-th" ]
S. Stieberger, D. Jungnickel, J. Lauer, M. Spalinski
hep-th/9204034
A Continuum Description of Super-Calogero Models
An investigation is made of the super-Calogero model with particular emphasis on its continuum formulation and possible application in the context of supersymmetrizing the bosonic collective d=1 string field theory.
1992-04-14
2007-05-23
[ "hep-th" ]
Andre J. van Tonder
hep-th/9204036
On the construction of integrable dilute ADE models
We give an integrable extension of the lattice models recently considered by I.Kostov in his study of strings in discrete space. These models are IRF models with spin variables living in any connected graph, the vertex model underlying these models is the Izergin-Korepin model. When the graph is taken to be a simply la...
1992-04-14
2009-10-22
[ "hep-th" ]
Philippe Roche
hep-th/9204033
Bosonic Chern-Simons Field Theory of Anyon Superconductivity
We study the Quantum Field Theory of nonrelativistic bosons coupled to a Chern--Simons gauge field at nonzero particle density. This field theory is relevant to the study of anyon superconductors in which the anyons are described as {\bf bosons} with a statistical interaction. We show that it is possible to find a mean...
1992-04-13
2015-06-26
[ "hep-th" ]
Nathan Weiss
hep-th/9204032
On the Stability of a Stringy Black Hole
We study the stability under perturbations of a charged four dimensional stringy black hole arising from gauging a previously studied WZW model. We find that the black hole is stable only in the extremal case $Q=M$.
1992-04-13
2009-10-22
[ "hep-th" ]
A. Carlini, F. Fucito and M. Martellini
hep-th/9204031
Gravitational Effects in Supersymmetric Domain Wall Backgrounds
A recent study of supersymmetric domain walls in $N=1$ supergravity theories revealed a new class of domain walls interpolating between supersymmetric vacua with different non-positive cosmological constants. We classify three classes of domain wall configurations and study the geodesic structure of the induced space-t...
1992-04-13
2009-09-25
[ "hep-th" ]
M. Cvetic and S. Griffies
hep-th/9204030
Moduli Corrections to Gauge and Gravitational Couplings in four dimensional Superstrings
We study one-loop, moduli-dependent corrections to gauge and gravitational couplings in supersymmetric vacua of the heterotic string. By exploiting their relation to the integrability condition for the associated CP-odd couplings, we derive general expressions for them, both for $(2,2)$ and $(2,0)$ models, in terms of ...
1992-04-13
2009-10-22
[ "hep-th" ]
I. Antoniadis, E. Gava and K.S. Narain
hep-th/9204029
2+1 Gravity without dynamics
A three dimensional generally covariant theory is described that has a 2+1 canonical decomposition in which the Hamiltonian constraint, which generates the dynamics, is absent. Physical observables for the theory are described and the classical and quantum theories are compared with ordinary 2+1 gravity.
1992-04-11
2009-10-22
[ "hep-th" ]
Viqar Husain
hep-th/9204027
Gauge Symmetries and Amplitudes in N=2 Strings
Picture changed operators are discussed in $N=2$ strings with space-time signature $(2,2)$. A gauge symmetry algebra is derived in a background of torus space-time $T^{2,2}$ and its simple representation on the picture changed operators is given. Simple Ward identities associated with the gauge algebra and their conseq...
1992-04-11
2009-10-22
[ "hep-th" ]
Miao Li
hep-th/9204041
Topological First-Order Systems with Landau-Ginzburg Interactions
We consider the realization of N=2 superconformal models in terms of free first-order $(b,c,\beta,\gamma)$-systems, and show that an arbitrary Landau-Ginzburg interaction with quasi-homogeneous potential can be introduced without spoiling the (2,2)-superconformal invariance. We discuss the topological twisting and the ...
1992-04-10
2009-10-22
[ "hep-th" ]
P. Fre', L. Girardello, A. Lerda and P. Soriani
hep-th/9204040
On the Moduli Space of the $T^6/Z_3$ Orbifold and Its Modular Group
We describe the duality group $\Gamma=SU(3,3,Z)$ for the Narain lattice of the $T^6/Z_3$ orbifold and its action on the corresponding moduli space. A symplectic embedding of the momenta and winding numbers allows us to connect the orbifold lattice to the special geometry of the moduli space. As an application, a formal...
1992-04-10
2010-04-06
[ "hep-th" ]
S. Ferrara, P. Fr\`e, P. Soriani
hep-th/9204023
Superfield Realizations of $N=2$ Super-$W_3$
We present a manifestly $N=2$ supersymmetric formulation of $N=2$ super-$W_3$ algebra (its classical version) in terms of the spin 1 and spin 2 supercurrents. Two closely related types of the Feigin-Fuchs representation for these supercurrents are found: via two chiral spin $\frac{1}{2}$ superfields generating $N=2$ ex...
1992-04-10
2009-10-22
[ "hep-th" ]
E.Ivanov and S.Krivonos
hep-th/9204025
Quantum Fermion Hair
It is shown that the Dirac operator in the background of a magnetic %Reissner-Nordstr\"om black hole and a Euclidean vortex possesses normalizable zero modes in theories containing superconducting cosmic strings. One consequence of these zero modes is the presence of a fermion condensate around magnetically charged bla...
1992-04-10
2009-10-22
[ "hep-th" ]
Ruth Gregory and Jeffrey Harvey
hep-th/9204024
Higher Order Conformal Invariance of String Backgrounds Obtained by O(d,d) Transformations
Proposals that $O(d,d)$ boosts of trivial backgrounds lead to non-trivial conformally invariant backgrounds are checked to two loop order. We find that conformal invariance can be achieved by adding simple higher order corrections to the metric and dilaton.
1992-04-10
2009-10-22
[ "hep-th" ]
J. Panvel
hep-th/9204028
Classical Fermi Fluid and Geometric Action for $c=1$
We formulate the $c=1$ matrix model as a quantum fluid and discuss its classical limit in detail, emphasizing the $\hbar$ corrections. We view the fermi fluid profiles as elements of \winf-coadjoint orbit and write down a geometric action for the classical phase space. In the specific representation of fluid profiles a...
1992-04-10
2010-11-01
[ "hep-th" ]
Avinash Dhar, Gautam Mandal and Spenta R. Wadia
hep-th/9204026
Dilaton Gravity and No-Hair Theorem in Two Dimensions
We study a general class of two-dimensional theories of the dilaton-gravity type inspired by string theory and show that they admit charged multiple-horizon black holes. These solutions are proved to satisfy scalar no-hair theorems.
1992-04-10
2009-10-22
[ "hep-th" ]
Olaf Lechtenfeld and Chiara Nappi
hep-th/9204022
Ashtekar Formulation of 2+1 Gravity on a Torus
Pure (2+1)-dimensional Einstein gravity is analysed in the Ashtekar formulation, when the spatial manifold is a torus. We have found a set of globally defined observables, forming a closed algebra. This allowed us to solve the quantum constraints, and to show that the reduced phase space of the Ashtekar formulation is ...
1992-04-09
2009-01-16
[ "hep-th" ]
N. Manojlovic and A. Mikovic
hep-th/9204021
Electrodynamics in the presence of an axion
The low energy limit of an axion field coupled to gauge fields is investigated through the behaviour of the gauge field propagator in a local vaccum angle background. The local (singular) part of the effective action for the axion field is calculated at one loop level. In the case of a timelike, linearly growing axion ...
1992-04-09
2015-06-26
[ "hep-th" ]
Claudio Coriano'
hep-th/9204087
Vector Fields and the Unity of Mathematics and Physics
We give an argument that magnetic monopoles should not exist. It is based on the concept of the index of a vector field. The thrust of the argument is that indices of vector fields are invariants of space-time orientation and of coordinate changes, and thus physical vector fields should preserve indices. The index is d...
1992-04-09
2008-02-03
[ "hep-th", "math.GT" ]
Daniel Henry Gottlieb
hep-th/9204020
Symplectic fusion rings and their metric
The fusion of fields in a rational conformal field theory gives rise to a ring structure which has a very particular form. All such rings studied so far were shown to arise from some potentials. In this paper the fusion rings of the WZW models based on the symplectic group are studied. It is shown that they indeed aris...
1992-04-08
2009-10-22
[ "hep-th" ]
D. Gepner and A. Schwimmer (Weizmann Institute of science, Israel)
hep-th/9204019
An alternative approach to KP hierarchy in matrix models
We show that there exists an alternative procedure in order to extract differential hierarchies, such as the KdV hierarchy, from one--matrix models, without taking a continuum limit. To prove this we introduce the Toda lattice and reformulate it in operator form. We then consider the reduction to the systems appropriat...
1992-04-08
2009-10-22
[ "hep-th" ]
L.Bonora, C.S.Xiong
hep-th/9204018
A naive matrix-model approach to two-dimensional quantum gravity coupled to matter of arbitrary central charge
In the usual matrix-model approach to random discretized two-dimensional manifolds, one introduces n Ising spins on each cell, i.e. a discrete version of 2D quantum gravity coupled to matter with a central charge n/2. The matrix-model consists then of an integral over $2^{n}$ matrices, which we are unable to solve for ...
1992-04-08
2009-10-22
[ "hep-th" ]
E. Brezin and S. Hikami
hep-th/9204015
Matter Coupling and Spontaneous Symmetry Breaking in Topological Gravity
Matter is coupled to three-dimensional gravity such that the topological phase is allowed and the (anti-) de Sitter or Poincar\'e symmetry remains intact. Spontaneous symmetry breaking to the Lorentz group occurs if a scalar field is included. This Higgs field can then be used to couple matter so that the familiar form...
1992-04-07
2009-10-22
[ "hep-th" ]
T.T. Burwick, A.H. Chamseddine and K.Meissner
hep-th/9204017
World-Sheet Geometry and Baby Universes in 2-D Quantum Gravity
We show that the surface roughness for $c<1$ matter theories coupled to $2D$ quantum gravity is described by a self-similar structure of baby universes. There exist baby universes whose neck thickness is of the order of the ultraviolet cutoff, the largest of these having a macroscopic area $\sim A^{1 \over {1-\gamma}}$...
1992-04-07
2009-10-22
[ "hep-th" ]
Sanjay Jain and Samir D. Mathur
hep-th/9204016
Nonlinear realizations of $W_3$ symmetry
We deduce the $sl_{3}$ Toda realization of classical $W_3$ symmetry on two scalar fields in a geometric way, proceeding from a nonlinear realization of some associate higher-spin symmetry $W_{3}^{\infty}$. The Toda equations are recognized as the constraints singling out a two-dimensional fully geodesic subspace in the...
1992-04-07
2008-11-26
[ "hep-th" ]
E.Ivanov, S.Krivonos and A.Pichugin
hep-th/9204014
Is General Relativity an 'Already Parametrized' Field Theory?
Beginning with the work of Dirac and Arnowitt, Deser, Misner in the late fifties and early sixties, and then after subsequent development by Kucha\v r, the canonical dynamical structure of general relativity has often been viewed as that of a parametrized field theory in which the many-fingered spacetime variables are ...
1992-04-06
2009-12-30
[ "hep-th" ]
C. G. Torre
hep-th/9204012
Supersymmetry Breaking and Determination of the Unification Gauge Coupling Constant in String Theories
We study in a systematic and modular invariant way gaugino condensation in the hidden sector as a potential source of hierarchical supersymmetry breaking and a non--trivial potential for the dilaton $S$ whose real part corresponds to the tree level gauge coupling constant (${\rm Re}\ S\sim g_{gut}^{-2}$). For the case ...
1992-04-06
2009-10-29
[ "hep-th" ]
B. de Carlos, J.A. Casas and C. Mu\~noz
hep-th/9204013
Matrix Models and One Dimensional Open String Theory (Revised)
We propose a random matrix model as a representation for $D=1$ open strings. We show that the model is equivalent to $N$ fermions with spin in a central potential that also includes a long-range ferromagnetic interaction between the fermions that falls off as $1/(r_{ij})^2$. We find two interesting scaling limits and c...
1992-04-06
2009-10-22
[ "hep-th" ]
Joseph A. Minahan
hep-th/9204009
2+1 Dimensional Quantum Gravity as a Gaussian Fermionic System and the 3D-Ising Model
We show that 2+1-dimensional Euclidean quantum gravity is equivalent, under some mild topological assumptions, to a Gaussian fermionic system. In particular, for manifolds topologically equivalent to $\Sigma_g\times\RrR$ with $\Sigma_g$ a closed and oriented Riemann surface of genus $g$, the corresponding 2+1-dimension...
1992-04-04
2007-05-23
[ "hep-th" ]
Giuseppe Bonacina, Maurizio Martellini and Mario Rasetti
hep-th/9204010
Berry's Phase and Euclidean Path Integral
A method for finding Berry's phase is proposed under the Euclidean path integral formalism. It is characterized by picking up the imaginary part from the resultant exponent. Discussion is made on the generalized harmonic oscillator which is shown being so universal in a single degree case. The spin model expressed by c...
1992-04-04
2009-10-22
[ "hep-th" ]
Taro Kashiwa, Shuji Nima and Seiji Sakoda
hep-th/9204007
Anomalous Transformation in Supersymmetric Yang-Mills Theory
An ``anomalous'' supersymmetry transformation of the gaugino axial current is given in supersymmetric Yang-Mills theory. The contact term is computed to one-loop order by a gauge-invariant point-splitting procedure. We reexamine the supercurrent anomaly in this method.
1992-04-03
2009-10-22
[ "hep-th" ]
H.Itoyama and B.Razzaghe-Ashrafi
hep-th/9204006
Noncompact Coset Spaces in String Theory
A brief overview of strings propagating on noncompact coset spaces G/H is presented in terms of WZW models. The role played by isometries in the existence of target space duality and by fixed points of the gauge transformations in the existence of singularities and horizons, is emphasized. A general classification of t...
1992-04-03
2007-05-23
[ "hep-th" ]
Fernando Quevedo
hep-th/9204008
Self-Dual Chern-Simons Solitons with Non-Compact Groups
It is shown how to couple non-relativistic matter with a Chern--Simons gauge field that belongs to a non-compact group. We treat in some details the $SL(2,{\bf R})$ and the Poincar\'e $ISO(2,1)$ groups. For suitable self-interactions, we are able to exhibit soliton solutions.
1992-04-03
2009-10-22
[ "hep-th" ]
Daniel Cangemi
hep-th/9204003
Physics beyond quasi-particles: Spectrum and completeness of the 3 state superintegrable chiral Potts model
We find the rules which count the energy levels of the 3 state superintegrable chiral Potts model and demonstrate that these rules are complete. We then derive the complete spectrum of excitations in the thermodynamic limit in the massive phase and demonstrate the existence of excitations which do not have a quasi-part...
1992-04-02
2009-10-22
[ "hep-th" ]
Srinandan Dasmahapatra, Rinat Kedem and Barry McCoy
hep-th/9204002
Classical and Quantum Considerations of Two-dimensional Gravity
The two-dimensional theory of gravity describing a graviton-dilaton system is considered. The graviton-dilaton coupling can be fixed such that the quantum theory remains free of the conformal anomaly for any conformal dimension of the coupled matter system, even if the dilaton does not appear as Lagrange multiplier. In...
1992-04-02
2009-10-22
[ "hep-th" ]
T. T. Burwick and A. H. Chamseddine
hep-th/9204005
The N=4 string is the same as the N=2 string
We redo the quantization of the N=4 string, taking into account the reducibility of the constraints. The result is equivalent to the N=2 string, with critical dimension D=4 and signature (++--). The N=4 formulation has several advantages: the sigma-model field equations are implied classically, rather than by quantum/b...
1992-04-02
2009-10-22
[ "hep-th" ]
W. Siegel
hep-th/9204004
Conformal Symmetry and Differential Regularization of the Three-Gluon Vertex
The conformal symmetry of the QCD Lagrangian for massless quarks is broken both by renormalization effects and the gauge fixing procedure. Renormalized primitive divergent amplitudes have the property that their form away from the overall coincident point singularity is fully determined by the bare Lagrangian, and scal...
1992-04-02
2009-10-08
[ "hep-th" ]
Daniel Z. Freedman, Gianluca Grignani, Nuria Rius and Kenneth Johnson
hep-th/9204001
Axionic Membranes
A metal ring removed from a soap-water solution encloses a film of soap which can be mathematically described as a minimal surface having the ring as its only boundary. This is known to everybody. In this letter we suggest a relativistic extension of the above fluidodynamic system where the soap film is replaced by a K...
1992-04-01
2009-10-22
[ "hep-th" ]
A.Aurilia and E.Spallucci
hep-th/9203084
Periods and Duality Symmetries in Calabi-Yau Compactifications
We derive the period structure of several one-modulus Calabi-Yau manifolds. With this knowledge we then obtain the generators of the duality group and the mirror map that defines the physical variable $t$ representing the radius of compactification. We also describe the fundamental region of $t$ and discuss its relatio...
1992-03-31
2014-11-18
[ "hep-th" ]
Anamaria Font
hep-th/9203082
Eikonal Quantum Gravity and Planckian Scattering
Various approaches to high energy forward scattering in quantum gravity are compared using the eikonal approximation. The massless limit of the eikonal is shown to be equivalent to other approximations for the same process, specifically the semiclassical calculation due to G. 't Hooft and the topological field theory d...
1992-03-30
2008-11-26
[ "hep-th" ]
Dan Kabat and Miguel Ortiz
hep-th/9203083
Rotating Dilaton Black Holes
It is shown that an arbitrarily small amount of angular momentum can qualitatively change the properties of extremal charged black holes coupled to a dilaton. In addition, the gyromagnetic ratio of these black holes is computed and an exact rotating black string solution is presented.
1992-03-30
2008-11-26
[ "hep-th" ]
James H. Horne and Gary T. Horowitz
hep-th/9203078
Extended Supersymmetry and Self-Duality in 2+2 Dimensions
The $N=2$ supersymmetric {\it self-dual} Yang-Mills theory and the $N=4$ and $N=2$ {\it self-dual} supergravities in $2+2$ space-time dimensions are formulated for the first time. These formulations utilize solutions of the Bianchi identities subject to the super-Yang-Mills or supergravity constraints in the relevant $...
1992-03-30
2012-08-27
[ "hep-th" ]
S.J. Gates, Jr, H. Nishino and S.V. Ketov
hep-th/9203077
Finite W-algebras
Finite versions of W-algebras are introduced by considering (symplectic) reductions of finite dimensional simple Lie algebras. In particular a finite analogue of $W^{(2)}_3$ is introduced and studied in detail. Its unitary and non-unitary, reducible and irreducible highest weight representations are constructed.
1992-03-30
2009-10-22
[ "hep-th" ]
T.Tjin
hep-th/9203079
Weaving a classical geometry with quantum threads
Results that illuminate the physical interpretation of states of nonperturbative quantum gravity are obtained using the recently introduced loop variables. It is shown that: i) While local operators such as the metric at a point may not be well-defined, there do exist {\it non-local} operators, such as the area of a gi...
1992-03-30
2011-04-20
[ "hep-th" ]
Abhay Ashtekar, Carlo Rovelli and Lee Smolin
hep-th/9203076
Quantizing SL(N) Solitons and the Hecke Alegbra
The problem of quantizing a class of two-dimensional integrable quantum field theories is considered. The classical equations of the theory are the complex $sl(n)$ affine Toda equations which admit soliton solutions with real masses. The classical scattering theory of the solitons is developed using Hirota's solution t...
1992-03-30
2010-11-01
[ "hep-th" ]
T.J. Hollowood
hep-th/9203081
Majorana-Weyl Spinors and Self-Duality Gauge Fields in 2+2 Dimensions
The properties of Dirac gamma matrices in a four-dimensional space-time with the $(2,2)$ signature are studied. The basic spinors are classified, and the existence of Majorana-Weyl spinors is noted. Supersymmetry in $2 + 2$ dimensions is discussed, and the existence of the {\it real chiral} scalar supermultiplet is dis...
1992-03-30
2012-08-27
[ "hep-th" ]
S.V. Ketov, S.J. Gates, Jr. and H. Nishino
hep-th/9203080
Supersymmetric Self-Dual Yang-Mills and Supergravity as Background of Green-Schwarz Superstring
We present the Green-Schwarz $\s\-$model coupled to the $N=1$ {\it {supersymmetric}} Yang-Mills and supergravity in a four-dimensional space-time with the indefinite signature $(+,+,-,-)$. We first confirm the $\k\-$invariance of the Green-Schwarz action, and show that all the $\b\-$functions for the backgrounds vanish...
1992-03-30
2012-08-27
[ "hep-th" ]
H. Nishino, S.J. Gates, Jr, and S.V. Ketov
hep-th/9203074
A cubic action for self-dual Yang-Mills
We make a change of field variables in the J formulation of self-dual Yang--Mills theory. The field equations for the resulting algebra valued field are derivable from a simple cubic action. The cubic interaction vertex is different from that considered previously from the N=2 string, however, perturbation theory with ...
1992-03-28
2009-10-22
[ "hep-th" ]
Andrew Parkes
hep-th/9203075
Current Algebra of WZNW Models at and away from Criticality
We derive the current algebra of principal chiral models with a Wess-Zumino term. At the critical coupling where the model becomes conformally invariant (Wess-Zumino-Novikov-Witten theory), this algebra reduces to two commuting Kac-Moody algebras, while in the limit where the coupling constant is taken to zero (ordinar...
1992-03-28
2015-06-26
[ "hep-th" ]
E. Abdalla, M. Forger
hep-th/9203073
Quantum Group Analysis of the Bound States in the Strong Coupling Regime of the Modified Sine-Gordon Model
A quantum group analysis is applied to the Sine-Gordon model (or may be its version) in a strong-coupling regime. Infinitely many bound states are found together with the corresponding S-matrices. These new solutions of the Yang-Baxter eqations are related to some reducible representations of the quantum $sl(2)$ algebr...
1992-03-27
2007-05-23
[ "hep-th" ]
Sergei V. Pokrovsky
hep-th/9204011
Target Space Structure of a Chiral Gauged Wess-Zumino-Witten Model
The background for string propagation is obtained by a chiral gauging of the $SL(2,R)$ Wess-Zumino-Witten model. It is shown explicitly that the resulting background fields satisfy the field equations of the three dimensional string effective action and the target space has curvature singularity. Close connection of ou...
1992-03-27
2009-10-22
[ "hep-th" ]
Supriya K. Kar and Alok Kumar
hep-th/9203072
Midisuperspace-Induced Corrections to the Wheeler De Witt Equation
We consider the midisuperspace of four dimensional spherically symmetric metrics and the Kantowski-Sachs minisuperspace contained in it. We discuss the quantization of the midisuperspace using the fact that the dimensionally reduced Einstein Hilbert action becomes a scalar-tensor theory of gravity in two dimensions. We...
1992-03-26
2010-11-19
[ "hep-th" ]
Francisco D. Mazzitelli
hep-th/9203071
Moduli Corrections to Gravitational Couplings from String loops
We study moduli dependent threshold corrections to gravitational couplings in the case of the heterotic string compactified on a symmetric orbifold, for untwisted moduli, extending previous analysis on gauge couplings. Like in the gauge case, the contribution comes entirely from the spacetime $N=2$ sector. As a byprodu...
1992-03-25
2010-11-01
[ "hep-th" ]
I. Antoniadis, E. Gava and K. S. Narain
hep-th/9203068
$W_\infty$ and Anomalies of Self-Dual Einstein Theories
This manuscripts corrects some minor error in the paper, Mod. Phys. Lett. A 6 1893 (1991)
1992-03-25
2009-10-22
[ "hep-th" ]
V.G.J. Rodgers
hep-th/9203067
Applications of W-algebras to BF theories, QCD and 4D Gravity
We are able to show that BF theories naturally emerge from the coadjoint orbits of $W_2$ and $w_\infty$ algebras which includes a Kac-Moody sector. Since QCD strings can be identified with a BF theory, we are able to show a relationship between the orbits and monopole-string solutions of QCD. Furthermore, we observe th...
1992-03-25
2009-10-22
[ "hep-th" ]
Ralph Lano and V.G.J. Rodgers
hep-th/9203070
Finiteness and anomalies in (4,0) supersymmetric sigma models
Power-counting arguments based on extended superfields have been used to argue that two-dimensional supersymmetric sigma models with (4,0) supersymmetry are finite. This result is confirmed up to three loop order in pertubation theory by an explicit calculation using (1,0) superfields. In particular, it is shown that t...
1992-03-25
2009-10-09
[ "hep-th" ]
P.S. Howe and G. Papadopoulos
hep-th/9203069
S and T matrices for the super $U(1,1)$ WZW model. Application to surgery and 3-manifold invariants based on the Alexander Conway polynomial
We carry on the study of the Alexander Conway invariant from the quantum field theory point of view started in \cite{RS91}. We first discuss in details $S$ and $T$ matrices for the $U(1,1)$ super WZW model and obtain, for the level $k$ an integer, new finite dimensional representations of the modular group. These hav...
1992-03-25
2011-07-18
[ "hep-th", "math.QA" ]
Lev Rozansky, Herbert Saleur
hep-th/9203065
Bethe Ansatz and Quantum Groups: The Light--Cone Approach. II. From RSOS($p+1$) models to $p-$restricted Sine--Gordon Field Theories
We solve the RSOS($p$) models on the light--cone lattice with fixed boundary conditions by disentangling the type II representations of $SU(2)_q$, at $q=e^{i\pi/p}$, from the full SOS spectrum obtained through Algebraic Bethe Ansatz. The rule which realizes the quantum group reduction to the RSOS states is that there m...
1992-03-24
2009-10-22
[ "hep-th" ]
C. Destri and H.J. de Vega
hep-th/9203064
New Approach to Thermal Bethe Ansatz
We present a new approach to the calculation of thermodynamic functions for crossing-invariant models solvable by Bethe Ansatz. In the case of the XXZ Heisemberg chain we derive, for arbitrary values of the anysotropy, a {\bf single} non--linear integral equation from which the free energy can be exactly calculated. Th...
1992-03-24
2008-02-03
[ "hep-th" ]
C. Destri and H.J. de Vega
hep-th/9203063
The Spectrum of Sl(2, R)/U(1) Black Hole Conformal Field Theory
We study string theory in the background of a two-dimensional black hole which is described by an $SL(2, R)/U(1)$ coset conformal field theory. We determine the spectrum of this conformal field theory using supersymmetric quantum mechanics and give an explicit form of the vertex operators in terms of the Jacobi functio...
1992-03-24
2009-10-22
[ "hep-th" ]
Dileep P. Jatkar
hep-th/9203066
Massive Orbifold
We study some aspects of 2d supersymmetric sigma models on orbifolds. It turns out that independently of whether the 2d QFT is conformal the operator products of twist operators are non-singular, suggesting that massive (non-conformal) orbifolds also `resolve singularities' just as in the conformal case. Moreover we re...
1992-03-24
2015-06-26
[ "hep-th" ]
S. Cecotti and C. Vafa
hep-th/9203062
A note on the KP hierarchy
Given the two boson representation of the conformal algebra \hat W_\infty, the second Hamiltonian structure of the KP hierarchy, I construct a bi-Hamiltonian hierarchy for the two associated currents. The KP hierarchy appears as a composite of this new and simpler system. The bi-Hamiltonian structure of the new hierarc...
1992-03-23
2015-06-26
[ "hep-th" ]
Didier A Depireux
hep-th/9203060
Classical Scattering in $1+1$ Dimensional String Theory
We find the general solution to Polchinski's classical scattering equations for $1+1$ dimensional string theory. This allows efficient computation of scattering amplitudes in the standard Liouville $\times$ $c=1$ background. Moreover, the solution leads to a mapping from a large class of time-dependent collective field...
1992-03-22
2011-10-11
[ "hep-th", "hep-ph" ]
G. Moore and R. Plesser
hep-th/9203061
Gravitational Phase Transitions and the Sine-Gordon Model
We consider the Sine-Gordon model coupled to 2D gravity. We find a nonperturbative expression for the partition function as a function of the cosmological constant, the SG mass and the SG coupling constant. At genus zero, the partition function exhibits singularities which are interpreted as signals of phase transition...
1992-03-22
2007-05-23
[ "hep-th" ]
Gregory Moore
hep-th/9203059
Black Holes and Massive Remnants
This paper revisits the conundrum faced when one attempts to understand the dynamics of black hole formation and evaporation without abandoning unitary evolution. Previous efforts to resolve this puzzle assume that information escapes in corrections to the Hawking process, that an arbitrarily large amount of informatio...
1992-03-21
2009-10-22
[ "hep-th" ]
S.B. Giddings
hep-th/9203058
World-Sheet Supersymmetry Without Contact Terms
Green and Seiberg showed that, in simple treatments of fermionic string theory, it is necessary to introduce contact interactions when vertex operators collide. Otherwise, certain superconformal Ward identities would be violated. In this note, we show how these contact terms arise naturally when proper account is taken...
1992-03-20
2009-10-22
[ "hep-th" ]
J. Distler, M. Doyle
hep-th/9203057
Dirty blackholes: Thermodynamics and horizon structure
Considerable interest has recently been expressed in (static spherically symmetric) blackholes in interaction with various classical matter fields (such as electromagnetic fields, dilaton fields, axion fields, Abelian Higgs fields, non--Abelian gauge fields, {\sl etc}). A common feature of these investigations that has...
1992-03-20
2011-07-19
[ "hep-th" ]
Matt Visser