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hep-th/9205067
Discussion of Self-Dual c=24 Conformal Field Theories
We discuss questions arising from the recent work of Schellekens, and also from an earlier paper by Schellekens and Yankielowicz. We summarise Schellekens' results, and proceed to discuss the uniqueness of the c=24 self-dual conformal field theory with no weight one states, i.e. the Monster module $V^\natural$. After i...
1992-05-19
2008-02-03
[ "hep-th" ]
P.Montague
hep-th/9205068
ERRATA for "One-Loop Threshold Effects in String Unification"
The original paper, as published in Nuclear Physics B in 1988, had a few factor-of-two errors. Some people got confused by those errors. The purpose of these errata is to make things clear. The revised version of the complete article is also posted to hep-th.
1992-05-19
2007-05-23
[ "hep-th" ]
Vadim Kaplunovsky
hep-th/9205069
Quantization of a Theory of 2d Dilaton Gravity
We discuss the quantization of the 2d gravity theory of Callan, Giddings, Harvey, and Strominger (CGHS), following the procedure of David, and of Distler and Kawai. We find that the physics depends crucially on whether the number of matter fields is greater than or less than 24. In the latter case the singularity point...
1992-05-19
2009-10-22
[ "hep-th" ]
S.P. de Alwis
hep-th/9205070
One-Loop Threshold Effects in String Unification
Like grand unification of old, string unification predicts simple tree-level relations between the couplings of all unbroken gauge groups such as $SU(3)_C$ or $SU(2)_W\)$. I show here how to compute one-loop corrections to these relations for any four-dimensional model based on a classical vacuum of the heterotic strin...
1992-05-19
2016-09-06
[ "hep-th" ]
Vadim Kaplunovsky
hep-th/9205065
The operator algebra of the discrete state operators in 2D gravity with non-vanishing cosmological constant
Remarks are given to the structure of physical states in 2D gravity coupled to $C\leq 1$ matter. The operator algebra of the discrete state operators is calculated for the theory with non-vanishing cosmological constant.
1992-05-19
2011-04-15
[ "hep-th" ]
Vl.S.Dotsenko
hep-th/9205063
A Study of Two Dimensional String Theory (PhD Thesis)
This thesis is a study of two dimensional noncritical string theory. The main tool which is used, is the matrix model. Introductions to both the Liouville model and its matrix model formulation are included. In particular the special states are discussed. Some calculations of partition functions on genus one using fiel...
1992-05-18
2007-05-23
[ "hep-th" ]
Ulf H. Danielsson
hep-th/9205058
A class of finite two - dimensional sigma models and string vacua
We consider a two - dimensional Minkowski signature sigma model with a $2+N$ - dimensional target space metric having a null Killing vector. It is shown that the model is finite to all orders of the loop expansion if the dependence of the ``transverse" part of the metric $\ggij (u,x)$ on the light cone coordinate $u$ i...
1992-05-18
2009-09-17
[ "hep-th" ]
A.A. Tseytlin
hep-th/9205057
New Methods of Integration in Matrix Models
We discuss a new method of integration over matrix variables based on a suitable gauge choice in which the angular variables decouple from the eigenvalues at least for a class of two-matrix models. The calculation of correlation functions involving angular variables is simple in this gauge. Where the method is applicab...
1992-05-18
2010-04-06
[ "hep-th" ]
A.D'Adda
hep-th/9205061
Quantum-Mechanical Scattering of Charged Black Holes
We describe the quantum mechanical scattering of slowly moving maximally charged black holes. Our technique is to develop a canonical quantization procedure on the parameter space of possible static classical solutions. With this, we compute the capture cross sections for the scattering of two black holes. Finally, we ...
1992-05-18
2011-04-20
[ "hep-th" ]
Jennie Traschen and Robert Ferrel
hep-th/9205064
The Quantum Double in Integrable Quantum Field Theory
Various aspects of recent works on affine quantum group symmetry of integrable 2d quantum field theory are reviewed and further clarified. A geometrical meaning is given to the quantum double, and other properties of quantum groups. Multiplicative presentations of the Yangian double are analyzed.
1992-05-18
2008-11-26
[ "hep-th" ]
D. Bernard and A. LeClair
hep-th/9205060
Cosmological Implications of Domain Walls due to Duality Invariant Moduli Sector of Superstring Vacua
We study cosmological implications of the duality ($PSL(2,{\bf Z})$) invariant potential for the compactification radius $T$, arising in a class of superstring vacua. We show that in spite of having only one minimum in the fundamental domain of the $T$ field there are two types of non-supersymmetric domain walls: one i...
1992-05-18
2009-09-17
[ "hep-th", "hep-ph" ]
M. Cveti\v{c} and R. L. Davis
hep-th/9205062
Four Dimensional Stringy Black Membrane
An exact conformal field theory describing a four dimensional singular string background is obtained by chiral gauging a $U(1)$ subgroup along with translations in $R$ of an $SL(2,R)\times R$ Wess-Zumino-Witten model. It is shown that the target space-time describes a four dimensional black membrane. Furthermore variou...
1992-05-18
2009-10-22
[ "hep-th" ]
Supriya K. Kar, S. Pratik Khastgir and Gautam Sengupta
hep-th/9205059
Loop Gas Model for Open Strings
The open string with one-dimensional target space is formulated in terms of an SOS, or loop gas, model on a random surface. We solve an integral equation for the loop amplitude with Dirichlet and Neumann boundary conditions imposed on different pieces of its boundary. The result is used to calculate the mean values of ...
1992-05-18
2010-11-01
[ "hep-th" ]
V. Kazakov and I. Kostov
hep-th/9205056
Global KdV Flows and Stable 2D Quantum Gravity
The string equation for the $[{\tilde P},Q]=Q$ formulation of non--perturbatively stable 2D quantum gravity coupled to the $(2m-1,2)$ models is studied. Global KdV flows between the appropriate solutions are considered as deformations of two compatible linear problems. It is demonstrated that the necessary conditions f...
1992-05-16
2011-07-19
[ "hep-th" ]
Clifford V.Johnson, Tim R. Morris and Anders W\"atterstam
hep-th/9205055
Correlation Functions of the XXZ model for $\Delta<-1$
A new approach to the correlation functions is presented for the XXZ model in the anti-ferroelectric regime. The method is based on the recent realization of the quantum affine symmetry using vertex operators. With the aid of a boson representation for the latter, an integral formula is found for correlation functions ...
1992-05-16
2016-09-06
[ "hep-th", "nlin.SI", "solv-int" ]
Michio Jimbo, Kei Miki, Tetsuji Miwa, Atsushi Nakayashiki
hep-th/9205053
A Non Degenerate Semi-Classical Lagrangian for Dilaton-Gravity in Two Dimensions
An action for two dimensional gravity conformally coupled to two dilaton-type fields is analysed. Classically, the theory has some exact solutions. These include configurations representing black holes. A semi-classical theory is obtained by assuming that these singular solutions are caused by the collapse of some matt...
1992-05-15
2010-11-01
[ "hep-th" ]
Noureddine Mohammedi
hep-th/9205050
Effective potential and stability of the rigid membrane
The calculation of the effective potential for fixed-end and toroidal rigid $p$-branes is performed in the one-loop as well as in the $1/d$ approximations. The analysis of the involved zeta-functions (of inhomogeneous Epstein type) which appear in the process of regularization is done in full detail. Assymptotic formul...
1992-05-15
2009-09-17
[ "hep-th" ]
E. Elizalde and S.D. Odintsov (Department E.C.M., Faculty of Physics, University of Barcelona, Spain)
hep-th/9205047
Renormalization group equations in curved space-time with non-trivial Topology
Renormalization group equations for massless GUT's in curved space-time with non-trivial topology are formulated. The asymptotics of the effective action both at high and low energies are obtained. It is shown that the Casimir energy contribution at high curvature (early Universe) becomes non-essential in the effective...
1992-05-15
2009-10-22
[ "hep-th" ]
E. Elizalde and S.D. Odintsov (Department E.C.M., Faculty of Physics, University of Barcelona, Spain)
hep-th/9205048
Higher derivative quantum gravity with torsion in the conformally Self-Dual Limit
The path integral for higher-derivative quantum gravity with torsion is considered. Applying the methods of two-dimensional quantum gravity, this path integral is analyzed in the limit of conformally self-dual metrics. A scaling law for fixed-volume geometry is obtained.
1992-05-15
2009-09-17
[ "hep-th" ]
E. Elizalde and S.D.Odintsov (Department E.C.M., Faculty of Physics, University of Barcelona, Spain)
hep-th/9205054
Aspects of N=2 Super-W_n Strings
We construct $N=2$ super-$W_{n+1}$ strings and obtain the complete physical spectrum, for arbitrary $n \ge 2$. We also derive more general realisations of the super-$W_{n+1}$ algebras in terms of $k$ commuting $N=2$ super energy-momentum tensors and $n-k$ pairs of complex superfields, with $0\le k \le [\ft{n+1}{2}]$.
1992-05-15
2009-10-07
[ "hep-th" ]
H.Lu, C.N. Pope, X.J. Wang and K.W. Xu
hep-th/9205044
Quantum Hamiltonian Reduction of Super Kac-Moody Algebra II
The quantum Hamiltonian reduction on the OSp(1,2) super Kac-Moody algebra is described in the BRST formalism. Using a free field representation of the KM currents, the super Kac-Moody algebra is shown to be reduced to a superconformal one via the Hamiltonian reduction. This reduction is manifestly supersymmetric becaus...
1992-05-15
2009-10-22
[ "hep-th" ]
T. Kuramoto
hep-th/9205043
High Temperature Partition Function of the Rigid String
We find that the high temperature limit of the free energy per unit length for the rigid string agrees dimensionally with that of the QCD string (unlike the Nambu-Goto string). The sign, and in fact the phase, do not agree. While this may be a clue to a string theory of QCD, we note that the problem of the fourth deriv...
1992-05-15
2009-10-09
[ "hep-th" ]
Joseph Polchinski and Zhu Yang
hep-th/9205045
Supersymmetric, Integrable Toda Field Theories: The B(1,1) Model
We study the two-dimensional supersymmetric Toda theory based on the Lie superalgebra $B(1,1) \equiv Osp(3|2)$ and construct its quantum W-currents. We also investigate the fermionic affinization of this model: we show that despite the non-unitary form of the Lagrangian the $B^{(1)}(1,1)$ theory has a real particle mas...
1992-05-15
2009-10-22
[ "hep-th" ]
Silvia Penati and Daniela Zanon
hep-th/9205046
Cosmological String Backgrounds from Gauged WZW Models
We discuss the four-dimensional target-space interpretation of bosonic strings based on gauged WZW models, in particular of those based on the non-compact coset space $SL(2,{\bf R})\times SO(1,1)^2 /SO(1,1)$. We show that these theories lead, apart from the recently broadly discussed black-hole type of backgrounds, to ...
1992-05-15
2009-10-07
[ "hep-th" ]
C. Kounnas and D. Luest
hep-th/9205049
Spontaneous compactification in 2D induced quantum gravity
Spontaneous compactification ---on a $R^1\times S^1$ background--- in 2D induced quantum gravity (considered as a toy model for more fundamental quantum gravity) is analyzed in the gauge-independent effective action formalism. It is shown that such compactification is stable, in contradistinction to multidimensional qu...
1992-05-15
2009-09-17
[ "hep-th" ]
E. Elizalde and S.D. Odintsov (Department E.C.M., Faculty of Physics, University of Barcelona, Spain)
hep-th/9205041
Considerations of One-Modulus Calabi-Yau Compactifications: Picard-Fuchs Equations, K\"ahler Potentials and Mirror Maps
We consider Calabi-Yau compactifications with one K\"ahler modulus. Following the method of Candelas et al. we use the mirror hypothesis to solve the quantum theory exactly in dependence of this modulus by performing the calculation for the corresponding complex structure deformation on the mirror manifold. Here the in...
1992-05-14
2010-11-01
[ "hep-th" ]
Albrecht Klemm and Stefan Theisen
hep-th/9205040
Partition Functions, Intertwiners and the Coxeter Element
The partition functions of Pasquier models on the cylinder, and the associated intertwiners, are considered. It is shown that earlier results due to Saleur and Bauer can be rephrased in a geometrical way, reminiscent of formulae found in certain purely elastic scattering theories. This establishes the positivity of the...
1992-05-14
2015-06-26
[ "hep-th" ]
Patrick Dorey
hep-th/9205039
Constant Solutions of Reflection Equations and Quantum Groups
To the Yang-Baxter equation an additional relation can be added. This is the reflection equation which appears in various places, with or without spectral parameter. For example, in factorizable scattering on a half-line, integrable lattice models with non-periodic boundary conditions, non-commutative differential geom...
1992-05-14
2010-01-07
[ "hep-th", "nlin.SI", "solv-int" ]
P. P. Kulish, R. Sasaki and C. Schwiebert
hep-th/9205051
A Multimonopole Solution in String Theory
A multimonopole solution in Yang-Mills field theory is obtained by a modification of the 't Hooft ansatz for a four-dimensional instanton. Although this solution has divergent action near each source, it can be used to construct an exact finite action multimonopole solution of heterotic string theory, in which the dive...
1992-05-14
2009-10-22
[ "hep-th" ]
Ramzi R. Khuri
hep-th/9205038
Recent Developments in Classical and Quantum Theories of Connections, Including General Relativity
General relativity can be recast as a theory of connections by performing a canonical transformation on its phase space. In this form, its (kinematical) structure is closely related to that of Yang-Mills theory and topological field theories. Over the past few years, a variety of techniques have been developed to quant...
1992-05-14
2008-02-03
[ "hep-th" ]
Abhay Ashtekar
hep-th/9205042
A New Field Theoretic Approach to Criticality
A reorganized perturbation expansion with a propagator of soft infrared behavior is used to study the critical behavior of the mass gap. The condition of relativistic covariance fixes the form of the soft propagator. Finite approximants to the correlation critical exponent can be obtained in every order of the modified...
1992-05-14
2009-10-22
[ "hep-th", "hep-lat" ]
Peter Suranyi
hep-th/9205052
Scattering of String Monopoles
In the low-velocity limit, multi-soliton solutions trace out geodesics in the static solution manifold with distance defined by a metric on moduli space. For the recently constructed multimonopole solutions of heterotic string theory, we obtain a flat metric to leading order in the impact parameter. This result agrees ...
1992-05-14
2009-10-22
[ "hep-th" ]
Ramzi R. Khuri
hep-th/9205027
Supersymmetry as a Cosmic Censor
In supersymmetric theories the mass of any state is bounded below by the values of some of its charges. The corresponding bounds in case of Schwarzschild and Reissner-Nordstr\"om black holes are known to coincide with the requirement that naked singularities be absent. Here we investigate charged dilaton black holes in...
1992-05-13
2009-09-29
[ "hep-th" ]
Renata Kallosh, Andrei Linde, Tom\'as Ort\'in, Amanda Peet and Antoine Van Proeyen
hep-th/9205031
Topological Models on the Lattice and a Remark on String Theory Cloning
The addition of a topological model to the matter content of a conventional closed-string theory leads to the appearance of many perturbatively-decoupled space-time worlds. We illustrate this by classifying topological vertex models on a triangulated surface. We comment on how such worlds could have been coupled in the...
1992-05-13
2009-10-22
[ "hep-th" ]
Costas Bachas and Marios Petropoulos
hep-th/9205030
Quantum Analysis of Jackiw and Teitelboim's Model for 1+1 D Gravity and Topological Gauge Theory
We study the BRST quantization of the 1+1 dimensional gravity model proposed by Jackiw and Teitelboim and also the topological gauge model which is equivalent to the gravity model at least classically. The gravity model quantized in the light-cone gauge is found to be a free theory with a nilpotent BRST charge. We show...
1992-05-13
2009-10-22
[ "hep-th" ]
Haruhiko Terao
hep-th/9205035
Sine-Gordon Solitons as Heterotic Fivebranes
The Euclidean analogues of the sine-Gordon solitons are used as sources of the heterotic fivebrane solutions in the ten-dimensional heterotic string theory. Some properties of these soliton solutions are discussed. These solitons in principle can appear as string-like objects in 4-dimensional space-time after proper co...
1992-05-13
2009-10-22
[ "hep-th" ]
HoSeong La
hep-th/9205033
Strong Antigravity. Life in the Shock Wave
Strong anti-gravity is the vanishing to all orders in Newton's constant of the net force between two massive particles at rest. We study this phenomenon and show that it occurs in any effective theory of gravity which is obtained from a higher-dimensional model by compactification on a manifold with flat directions. We...
1992-05-13
2010-11-01
[ "hep-th" ]
M. Fabbrichesi and K. Roland
hep-th/9205037
Global Analysis of New Gravitational Singularities in String and Particle Theories
We present a global analysis of the geometries that arise in non-compact current algebra (or gauged WZW) coset models of strings and particles propagating in curved space-time. The simplest case is the 2d black hole. In higher dimensions these geometries describe new and much more complex singularities. For string and ...
1992-05-13
2009-10-22
[ "hep-th" ]
I. Bars and K. Sfetsos (USC)
hep-th/9205036
Solitons with integer fermion number
Necessary and sufficient conditions are found for any object in $3+1$ dimensions to have integer rather than fractional fermion number. Nontrivial examples include the Jackiw-Rebbi monopole and the already well studied Su-Schrieffer-Heeger soliton, both displaying integer multiples of elementary charges in combinations...
1992-05-13
2007-05-23
[ "hep-th" ]
Alfred S. Goldhaber
hep-th/9205028
Fadeev-Popov Ghosts and 1+1 Dimensional Black Hole Evaporation
Recently Callan, Giddings, Harvey and the author derived a set of one-loop semiclassical equations describing black hole formation/evaporation in two-dimensional dilaton gravity conformally coupled to $N$ scalar fields. These equations were subsequently used to show that an incoming matter wave develops a black hole ty...
1992-05-13
2009-09-17
[ "hep-th" ]
Andrew Strominger
hep-th/9205034
Gravity-Matter Couplings from Liouville Theory
The three-point functions for minimal models coupled to gravity are derived in the operator approach to Liouville theory which is based on its $U_q(sl(2))$ quantum group structure. The result is shown to agree with matrix-model calculations on the sphere. The precise definition of the corresponding cosmological constan...
1992-05-13
2009-10-22
[ "hep-th" ]
Jean-Loup Gervais
hep-th/9205029
Neutrino Masses within the Minimal Supersymmetric Standard Model
We investigate the possibility of accommodating neutrino masses compatible with the MSW study of the Solar neutrino deficit within the minimal supersymmetric Standard Model. The ``gravity-induced'' seesaw mechanism based on an interplay of nonrenormalizable and renormalizable terms in the superpotential allows neutrino...
1992-05-13
2009-09-17
[ "hep-th", "hep-ph" ]
Mirjam Cvetic and Paul Langacker
hep-th/9205032
Restricted Supergauge invariance, N=2 Coadjoint Orbit and N=2 Quantum Supergravity
It is shown that the N=2 superconformal transformations are restricted N=1 supergauge transformations of a supergauge theory with Osp(2,2) as a gauge group. Based on this result, a canonical derivation of the Osp(2,2) current algebra in the superchiral gauge formulation of N=2 supergravity is presented.
1992-05-13
2009-10-22
[ "hep-th" ]
W.A. Sabra
hep-th/9205023
Stability Analysis of a Stringy Black Hole
We investigate the stability of charged black holes in two-dimensional heterotic string theories that were recently discussed by McGuidan, Nappi and Yost. In the framework of small time-dependent perturbation, we find that these black holes are linearly stable.
1992-05-12
2019-08-15
[ "hep-th" ]
Rue-Ron Hsu, Green Huang, Wei-Fu Lin, and Chin-Rong Lee
hep-th/9205024
Renormalization group trajectories from resonance factorized S-matrices
We propose and investigate a large class of models possessing resonance factorized S-matrices. The associated Casimir energy describes a rich pattern of renormalization group trajectories related to flows in the coset models based on the simply laced Lie Algebras. From a simplest resonance S-matrix, satisfying the ``$\...
1992-05-12
2009-10-22
[ "hep-th" ]
Marcio J. Martins
hep-th/9205026
Lorentz invariance of effective strings
Starting from a Poincar\'e invariant field theory of a real scalar field with interactions governed by a double-well potential in 2+1 dimensions, the Lorentz representation induced on the collective coordinates describing low-energy excitations about an effective string background is derived. In this representation, Lo...
1992-05-12
2009-10-22
[ "hep-th" ]
J.D. Cohn and Vipul Periwal
hep-th/9205025
The Gravitational Field of String Matter
We study the scattering of a massless and neutral test particle in the gravitational field of a body (the string star) made of a large number of scalar states of the superstring. We consider two cases, the one in which these states are neutral string excitations massive already in ten dimensions and the one in which th...
1992-05-12
2009-10-22
[ "hep-th" ]
M. Fabbrichesi, R. Iengo, K. Roland
hep-th/9205021
Statistical Mechanics of Black Holes
We analyze the statistical mechanics of a gas of neutral and charged black holes. The microcanonical ensemble is the only possible approach to this system, and the equilibrium configuration is the one for which most of the energy is carried by a single black hole. Schwarzschild black holes are found to obey the statist...
1992-05-11
2009-10-22
[ "hep-th" ]
B. Harms and Y. Leblanc
hep-th/9205022
Entropy vs. Action in the (2+1)-Dimensional Hartle-Hawking Wave Function
In most attempts to compute the Hartle-Hawking ``wave function of the universe'' in Euclidean quantum gravity, two important approximations are made: the path integral is evaluated in a saddle point approximation, and only the leading (least action) extremum is taken into account. In (2+1)-dimensional gravity with a ne...
1992-05-11
2010-04-28
[ "hep-th" ]
Steven Carlip
hep-th/9205019
Charged Topological Solitons in 4+1 Dimensional YMCS Theory
We show that when a Chern-Simons term is added to the action of $SU(N)$ ($N\geq 3$) Yang-Mills theory in 5 dimensions the usual self-dual topological solitons present in the theory necessarily pick up a (topological) electric charge.
1992-05-09
2011-02-09
[ "hep-th" ]
C.S.Aulakh
hep-th/9205017
c = 1 conformal field theory and the fractional quantum Hall effect
We examine the application of $c=1$ conformal field theory to the description of the fractional quantum Hall effect (FQHE). It is found that the Gaussian model together with an appropriate boundary condition for the order parameter furnishes an effective theory for the Laughlin type FQHE. The plateau formation conditio...
1992-05-09
2007-05-23
[ "hep-th" ]
Christopher Ting and C. H. Lai
hep-th/9205018
Geometric Interpretation of the Quantum Master Equation in the BRST--anti-BRST Formalism
The geometric interpretation of the antibracket formalism given by Witten is extended to cover the anti-BRST symmetry. This enables one to formulate the quantum master equation for the BRST--anti-BRST formalism in terms of integration theory over a supermanifold. A proof of the equivalence of the standard antibracket f...
1992-05-09
2009-10-22
[ "hep-th" ]
Marc Henneaux
hep-th/9205020
Divergences of Discrete States Amplitudes and Effective Lagrangian in 2D String Theory
Scattering amplitudes for discrete states in 2D string theory are considered. Pole divergences of tree-level amplitudes are extracted and residues are interpreted as renormalized amplitudes for discrete states. An effective Lagrangian generating renormalized amplitudes for open string is written and corresponding Ward ...
1992-05-08
2015-06-26
[ "hep-th" ]
I.Ya.Aref'eva and A.P.Zubarev
hep-th/9205016
Duality and $O(d,d)$ Symmetries in String Theory
The evolution of a closed bosonic string is envisaged in the time-dependent background of its massless modes. A duality transformation is implemented on the spatial component of string coordinates to obtain a dual string. It is shown that the evolution equations are manifestly $O(d,d)$ invariant. The tree level string ...
1992-05-08
2009-10-22
[ "hep-th" ]
Jnanadeva Maharana
hep-th/9205011
Of CP and other Gauge Symmetries in String Theory
We argue that \CP is a gauge symmetry in string theory. As a consequence, \CP cannot be explicitly broken either perturbatively or non-pertubatively; there can be no non-perturbative \CP-violating parameters. String theory is thus an example of a theory where all $\theta$ angles arise due to spontaneous \CP violation, ...
1992-05-07
2009-10-22
[ "hep-th" ]
M. Dine, R.G. Leigh and D.A. MacIntire
hep-th/9205013
A Note of W-algebra Realisations
We provide a general description of realisations of W--algebras in terms of smaller W--algebras and free fields. This is based on the definition of the W--algebra as the commutant of a set of screening charges. This is conjectured to be related to partial gauge-fixings in the Hamiltonian reduction model.
1992-05-07
2009-10-22
[ "hep-th" ]
G.M.T.Watts
hep-th/9205014
Matrix Model Perturbed by Higher Order Curvature Terms
The critical behaviour of the $D=0$ matrix model with potential perturbed by nonlocal term generating touchings between random surfaces is studied. It is found that the phase diagram of the model has many features of the phase diagram of discretized Polyakov's bosonic string with higher order curvature terms included. ...
1992-05-07
2015-06-26
[ "hep-th" ]
G.P.Korchemsky
hep-th/9205012
Two-loop finiteness of D=2 supergravity
We establish two-loop (on shell) finiteness of certain supergravity theories in two dimensions. Possible implications of this result are discussed
1992-05-07
2009-10-22
[ "hep-th" ]
B. de Wit, M.T. Grisaru, E. Rabinovici, H. Nicolai
hep-th/9205015
Conformal Symmetry and Central Charges in 4 Dimensions
The trace anomaly of matter in curved space generates an effective action for the conformal factor of the metric tensor in $D=4$ dimensions, analogous to the Polyakov action for $D=2$. We compute the contributions of the reparameterization ghosts to the central charges for $D=4$, as well as the quantum contribution of ...
1992-05-07
2009-10-22
[ "hep-th" ]
I. Antoniadis, P.O. Mazur and E. Mottola
hep-th/9205010
A Proposal for $D>1$ Strings?
Using the reduced formulation of large-N Quantum Field Theories we study strings in space-time dimensions higher than one. Some preliminary results concerning the possible string susceptibilities and general properties of the model are presented.
1992-05-06
2007-05-23
[ "hep-th" ]
L. Alvarez-Gaume and J.L.F. Barbon
hep-th/9205007
Quantum Gravity and the Algebra of Tangles
In Rovelli and Smolin's loop representation of nonperturbative quantum gravity in 4 dimensions, there is a space of solutions to the Hamiltonian constraint having as a basis isotopy classes of links in R^3. The physically correct inner product on this space of states is not yet known, or in other words, the *-algebra s...
1992-05-05
2010-04-06
[ "hep-th", "math.QA" ]
John C. Baez
hep-th/9205008
Low-Energy Dynamics of Supersymmetric Solitons
In bosonic field theories the low-energy scattering of solitons that saturate Bogomol'nyi-type bounds can be approximated as geodesic motion on the moduli space of static solutions. In this paper we consider the analogous issue within the context of supersymmetric field theories. We focus our study on a class of $N=2$ ...
1992-05-05
2009-10-22
[ "hep-th" ]
Jerome P. Gauntlett
hep-th/9205009
Coordinate and K\"{a}hler $\sigma$-Model Anomalies and Their Cancellation in String Effective Field Theories
We discuss the complete set of one-loop triangle graphs involving the Yang-Mills gauge connection, the \Kahler\ connection and the $\sigma$-model coordinate connection in the effective field theory of $(2,2)$ symmetric $Z_N$ orbifolds. That is, we discuss pure gauge, pure \Kahler\ and pure $\sigma$-model coordinate ano...
1992-05-05
2015-06-26
[ "hep-th" ]
Gabriel Lopes Cardoso and Burt A. Ovrut
hep-th/9205005
Comments on Unitarity in the Antifield Formalism
It is shown that the local completeness condition introduced in the analysis of the locality of the gauge fixed action in the antifield formalism plays also a key role in the proof of unitarity.
1992-05-04
2009-10-22
[ "hep-th" ]
Glenn Barnich and Marc Henneaux
hep-th/9205006
Stabilized Quantum Gravity: Stochastic Interpretation and Numerical Simulation
Following the reasoning of Claudson and Halpern, it is shown that "fifth-time" stabilized quantum gravity is equivalent to Langevin evolution (i.e. stochastic quantization) between fixed non-singular, but otherwise arbitrary, initial and final states. The simple restriction to a fixed final state at $t_5 \rightarrow \i...
1992-05-04
2009-10-22
[ "hep-th", "hep-lat" ]
J. Greensite
hep-th/9205004
No Mirror Symmetry in Landau-Ginzburg Spectra!
We use a recent classification of non-degenerate quasihomogeneous polynomials to construct all Landau-Ginzburg (LG) potentials for N=2 superconformal field theories with c=9 and calculate the corresponding Hodge numbers. Surprisingly, the resulting spectra are less symmetric than the existing incomplete results. It tur...
1992-05-02
2009-10-22
[ "hep-th" ]
Maximilian Kreuzer and Harald Skarke
hep-th/9205003
Reality in the Differential Calculus on q-euclidean Spaces
The nonlinear reality structure of the derivatives and the differentials for the euclidean q-spaces are found. A real Laplacian is constructed and reality properties of the exterior derivative are given.
1992-05-01
2009-10-22
[ "hep-th" ]
O. Ogievetsky and B. Zumino
hep-th/9205002
Fusion Rules for the q-deformed Vertex Operators of U_q(sl(2)^)
We analyze the properties of the q-vertex operators of U_q(sl(2)^) introduced by Frenkel and Reshetikhin. As the condition for the null vector decoupling, we derive the existence condition of the q-vertex operators ( the fusion rules ).
1992-05-01
2015-06-26
[ "hep-th" ]
H. Awata and Y. Yamada
hep-th/9205001
Classical Isomorphisms for Quantum Groups
The expressions for the $\hat{R}$--matrices for the quantum groups SO$_{q^2}$(5) and SO$_q$(6) in terms of the $\hat{R}$--matrices for Sp$_q$(2) and SL$_q$(4) are found, and the local isomorphisms of the corresponding quantum groups are established.
1992-05-01
2015-06-26
[ "hep-th" ]
Vidyut Jain and Oleg Ogievetsky
hep-th/9204102
A New Supersymmetric Index
We show that ${\rm Tr}(-1)^F F e^{-\beta H}$ is an index for $N$=2 supersymmetric theories in two dimensions, in the sense that it is independent of almost all deformations of the theory. This index is related to the geometry of the vacua (Berry's curvature) and satisfies an exact differential equation as a function of...
1992-04-30
2010-11-01
[ "hep-th" ]
Sergio Cecotti, Paul Fendley, Ken Intriligator and Cumrun Vafa
hep-th/9204101
Self-Dual Chern-Simons Solitons in (2+1)-Dimensional Einstein Gravity
We consider here a generalization of the Abelian Higgs model in curved space, by adding a Chern--Simons term. The static equations are self-dual provided we choose a suitable potential. The solutions give a self-dual Maxwell--Chern--Simons soliton that possesses a mass and a spin.
1992-04-30
2009-10-22
[ "hep-th" ]
Daniel Cangemi and Choonkyu Lee
hep-th/9204103
Validity of the Eikonal Approximation
We summarize results on the reliability of the eikonal approximation in obtaining the high energy behavior of a two particle forward scattering amplitude. Reliability depends on the spin of the exchanged field. For scalar fields the eikonal fails at eighth order in perturbation theory, when it misses the leading behavi...
1992-04-30
2008-11-26
[ "hep-th" ]
Daniel Kabat
hep-th/9204100
Lattice Analogues of $N=2$ Superconformal Models via Quantum Group Truncation
We obtain lattice models whose continuum limits correspond to $N=2$ superconformal coset models. This is done by taking the well known vertex model whose continuum limit is the $G \times G/G$ conformal field theory, and twisting the transfer matrix and modifying the quantum group truncation. We find that the natural or...
1992-04-29
2009-10-22
[ "hep-th" ]
Z. Maassarani, D. Nemeschansky and N.P. Warner
hep-th/9204094
N=2 Supersymmetry, Painleve III and Exact Scaling Functions in 2D Polymers
We discuss in this paper various aspects of the off-critical $O(n)$ model in two dimensions. We find the ground-state energy conjectured by Zamolodchikov for the unitary minimal models, and extend the result to some non-unitary minimal cases. We apply our results to the discussion of scaling functions for polymers on a...
1992-04-29
2009-10-22
[ "hep-th" ]
P. Fendley and H. Saleur
hep-th/9204098
Projections of Virasoro Singular Vectors
We use recently derived explicit formulae for the Virasoro algebra's singular vectors to give constructive proofs of three results due to Feigin and Fuchs. The main result, which is needed for a rigorous treatment of fusion, describes the action of the singular vectors on conformal fields.
1992-04-29
2009-10-22
[ "hep-th" ]
A. Kent
hep-th/9204096
On the W-hair of String Black Holes and the Singularity Problem
We argue that the infinitely many gauge symmetries of string theory provide an infinite set of conserved (gauge) quantum numbers (W-hair) which characterise black hole states and maintain quantum coherence, even during exotic processes like black hole evaporation/decay. We study ways of measuring the W-hair of spherica...
1992-04-29
2007-05-23
[ "hep-th" ]
John Ellis, N.E. Mavromatos and D.V. Nanopoulos
hep-th/9204099
The Black Hole in Three Dimensional Space Time
The standard Einstein-Maxwell equations in 2+1 spacetime dimensions, with a negative cosmological constant, admit a black hole solution. The 2+1 black hole -characterized by mass, angular momentum and charge, defined by flux integrals at infinity- is quite similar to its 3+1 counterpart. Anti-de Sitter space appears as...
1992-04-29
2009-10-22
[ "hep-th" ]
M\'aximo Ba\~nados, Claudio Teitelboim, and Jorge Zanelli
hep-th/9204097
Singular Vectors of the Virasoro Algebra
We give expressions for the singular vectors in the highest weight representations of the Virasoro algebra. We verify that the expressions --- which take the form of a product of operators applied to the highest weight vector --- do indeed define singular vectors. These results explain the patterns of embeddings amongs...
1992-04-29
2009-10-22
[ "hep-th" ]
A. Kent
hep-th/9204095
Physical States in G/G Models and 2d Gravity
An analysis of the BRST cohomology of the G/G topological models is performed for the case of $A_1^{(1)}$. Invoking a special free field parametrization of the various currents, the cohomology on the corresponding Fock space is extracted. We employ the singular vector structure and fusion rules to translate the latter ...
1992-04-29
2019-08-15
[ "hep-th" ]
O. Aharony, O. Ganor, N. Sochen J. Sonnenschein and S. Yankielowicz
hep-th/9204093
Review of W Strings
We review some of the recent developments in the construction of $W$-string theories. These are generalisations of ordinary strings in which the two-dimensional ``worldsheet'' theory, instead of being a gauging of the Virasoro algebra, is a gauging of a higher-spin extension of the Virasoro algebra---a $W$ algebra. Des...
1992-04-28
2007-05-23
[ "hep-th" ]
C.N. Pope
hep-th/9204090
The Physics of 2-d Stringy Spacetimes
We examine the two-dimensional spacetimes that emerge from string theory. We find all the solutions with no tachyons, and show that the only non-trivial solution is the black hole spacetime. We examine the role of duality in this picture. We then explore the thermodynamics of these solutions which is complicated by the...
1992-04-28
2009-10-07
[ "hep-th" ]
Gary W. Gibbons and Malcolm J. Perry
hep-th/9204089
Paragrassmann Analysis and Quantum Groups
Paragrassmann algebras with one and many paragrassmann variables are considered from the algebraic point of view without using the Green ansatz. Operators of differentiation with respect to paragrassmann variables and a covariant para-super-derivative are introduced giving a natural generalization of the Grassmann calc...
1992-04-28
2008-11-26
[ "hep-th" ]
A.T.Filippov, A.P.Isaev and A.B.Kurdikov
hep-th/9204088
Analysis of All Dimensionful Parameters Relevant in Gravitational Dressing of Conformal Theories
Starting from a covariant and background independent definition of normal ordered vertex operators we give an alternative derivation of the KPZ relation between conformal dimensions and their gravitational dressed partners. With our method we are able to study for arbitrary genus the dependence of N-point functions on ...
1992-04-28
2009-10-22
[ "hep-th" ]
H. Dorn and H.-J. Otto
hep-th/9204091
Virasoro Representations on (Diff S1)/S1 Coadjoint Orbits
A new set of realizations of the Virasoro algebra on a bosonic Fock space are found by explicitly computing the Virasoro representations associated with coadjoint orbits of the form (Diff S1) / S1. Some progress is made in understanding the unitary structure of these representations. The characters of these representat...
1992-04-28
2007-05-23
[ "hep-th" ]
Washington Taylor IV
hep-th/9204092
Additional symmetries of KP, Grassmannian, and the string equation
It is well-known that solutions to the string equation are generated by elements of Sato's Grassmannian which are invariant under action of some differential operator. Here it is shown that this operator is nothing else than the infinitesimal operator of the group of additional symmetries of the KdV flow. This is done ...
1992-04-28
2015-06-26
[ "hep-th" ]
Leonid Dickey
hep-th/9204086
Quantum Group $\sigma$ Models
Field-theoretic models for fields taking values in quantum groups are investigated. First we consider $SU_q(2)$ $\sigma$ model ($q$ real) expressed in terms of basic notions of noncommutative differential geometry. We discuss the case in which the $\sigma$ models fields are represented as products of conventional $\sig...
1992-04-27
2009-10-22
[ "hep-th" ]
Y. Frishman, J. Lukierski and W.J. Zakrzewski
hep-th/9204080
Scattering in Soliton Models and the Bosonic Exchange description
We argue that the description of meson-nucleon dynamics based on the boson-exchange approach, is compatible with the description of the nucleon as a soliton in the nonrelativistic limit. Our arguments are based on an analysis of the meson-soliton form factor and the exact meson-soliton and soliton-soliton scattering am...
1992-04-24
2009-10-22
[ "hep-th" ]
Claudio Coriano', Rajesh R. Parwani, Hidenaga Yamagishi, Ismail Zahed
hep-th/9204085
Minimal Models from W-Constrained Hierarchies via the Kontsevich-Miwa Transform
A direct relation between the conformal formalism for 2d-quantum gravity and the W-constrained KP hierarchy is found, without the need to invoke intermediate matrix model technology. The Kontsevich-Miwa transform of the KP hierarchy is used to establish an identification between W constraints on the KP tau function and...
1992-04-24
2009-10-22
[ "hep-th" ]
B.~Gato-Rivera and A.~M.~Semikhatov
hep-th/9204078
Non-Critical Strings in Robertson-Walker Space Time
I consider a D+1 dimensional nonlinear $\sigma$ model based on a possible interpretation of the Liouville field as a physical time. The Weyl invariance of this theory gives us restrictions for the background fields and the parameters of the theory, e.g.\ for trivial background one obtains the known regions for the dime...
1992-04-24
2008-02-03
[ "hep-th" ]
K. Behrndt
hep-th/9204084
Unitarity Relations in c=1 Liouville Theory
We consider the S-matrix of c=1 Liouville theory with vanishing cosmological constant. We examine some of the constraints imposed by unitarity. These completely determine (N,2) amplitudes at tree level in terms of the (N,1) amplitudes when the plus tachyon momenta take generic values. A surprising feature of the matrix...
1992-04-24
2014-11-18
[ "hep-th" ]
David A. Lowe
hep-th/9204082
The $O(n)$ model on a random surface: critical points and large order behaviour
In this article we report a preliminary investigation of the large $N$ limit of a generalized one-matrix model which represents an $O(n)$ symmetric model on a random lattice. The model on a regular lattice is known to be critical only for $-2\le n\le 2$. This is the situation we shall discuss also here, using steepest ...
1992-04-24
2009-10-22
[ "hep-th" ]
B. Eynard and J. Zinn-Justin
hep-th/9204081
Signature Characters for the Virasoro Algebra
The number of ghost states at each energy level in a non-unitary conformal field theory is encoded in the signature characters of the relevant Virasoro algebra highest weight representations. We give expressions for these signature characters. These results complete Friedan-Qiu-Shenker's analysis of the Virasoro algebr...
1992-04-24
2009-10-22
[ "hep-th" ]
A. Kent
hep-th/9204083
Two Dimensional Gauge Theories Revisited
Topological gravity is equivalent to physical gravity in two dimensions in a way that is still mysterious, though by now it has been proved by Kontsevich. In this paper it is shown that a similar relation between topological and physical Yang-Mills theory holds in two dimensions; in this case, however, the relation can...
1992-04-24
2010-04-07
[ "hep-th" ]
Edward Witten
hep-th/9204073
Dynamical Topological Phase Transition in Massless Thirring Model
We study the topological nature of both isotropic and anisotropic SU(N) Thirring model. It is shown that in the isotropic model there exists the special point where the system lives in the topological phase and that in the anisotropic one which is obtained by introducing two coupling constants and has U(1) symmetry, we...
1992-04-23
2007-05-23
[ "hep-th" ]
Hiroshi Nohara
hep-th/9204074
Euler Hierarchies and Universal Equations
Finite Euler hierarchies of field theory Lagrangians leading to universal equations of motion for new types of string and membrane theories and for {\it classical} topological field theories are constructed. The analysis uses two main ingredients. On the one hand, there exists a generic finite Euler hierarchy for one f...
1992-04-23
2009-10-22
[ "hep-th" ]
D. B. Fairlie and J. Govaerts
hep-th/9204075
The Effective Lagrangian of Three Dimensional Quantum Chromodynamics
We consider the low energy limit of three dimensional Quantum Chromodynamics with an even number of flavors. We show that Parity is not spontaneously broken, but the global (flavor) symmetry is spontaneously broken. The low energy effective lagrangian is a nonlinear sigma model on the Grassmannian. Some Chern--Simons t...
1992-04-23
2015-06-26
[ "hep-th" ]
G. Ferretti, S.G.Rajeev and Z. Yang
hep-th/9204077
Signature Characters for A_2 and B_2
The signatures of the inner product matrices on a Lie algebra's highest weight representation are encoded in the representation's signature character. We show that the signature characters of a finite-dimensional Lie algebra's highest weight representations obey simple difference equations that have a unique solution o...
1992-04-23
2015-06-26
[ "hep-th" ]
A. Kent and G. Watts
hep-th/9204068
Corner Transfer Matrices and Quantum Affine Algebras
Let H be the corner-transfer-matrix Hamiltonian for the six-vertex model in the anti-ferroelectric regime. It acts on the infinite tensor product W = V . V . V ....., where is the 2-dimensional irreducible representation of the quantum affine sl(2). We observe that H is the derivation of quantum affine sl(2), and conje...
1992-04-23
2009-10-22
[ "hep-th", "nlin.SI", "solv-int" ]
Omar Foda, and Tetsuji Miwa
hep-th/9204079
String Effective Actions and Cosmological Stability of Scalar Potentials
The cosmology of the string effective action, including one loop string threshold corrections, is analyzed for static compactifications. The stability of the minima of a general supersymmetry breaking potential is studied in the presence of radiation. In particular, it is shown that the radiation bath makes the minima ...
1992-04-23
2009-10-22
[ "hep-th" ]
Juan Garcia-Bellido and Mariano Quiros
hep-th/9204076
Baryons as Solitons in Three Dimensional Quantum Chromodynamics
We show that baryons of three dimensional Quantum Chromodynamics can be understood as solitons of its effective lagrangian. In the parity preserving phase we study, these baryons are fermions for odd $N_c$ and bosons for even $N_c$, never anyons. We quantize the collective variables of the solitons and there by calcula...
1992-04-23
2015-06-26
[ "hep-th" ]
G. Ferretti, S.G.Rajeev and Z. Yang