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hep-th/9305003
The spectrum of the 2D Black Hole, or Does the 2D black hole have tachyonic or W--hair?
We solve the equations of motion of the tachyon and the discrete states in the background of Witten's semiclassical black hole and in the exact 2D dilaton-graviton background of Dijkgraaf et al. We find the exact solutions for weak fields, leading to conclusions in disagreement with previous studies of tachyons in the ...
1993-05-03
2009-09-29
[ "hep-th", "gr-qc" ]
Neil Marcus and Yaron Oz (U of Tel-Aviv)
hep-th/9305004
QED effective action at finite temperature and density
The QED effective action at finite temperature and density is calculated to all orders in an external homogeneous and time-independent magnetic field in the weak coupling limit. The free energy, obtained explicitly, exhibit the expected de\ Haas -- van\ Alphen oscillations. An effective coupling at finite temperature a...
1993-05-03
2008-11-26
[ "hep-th" ]
Per Elmfors, Bo-Sture Skagerstam and David Persson
hep-th/9304165
High-Order Adiabatic Approximation for Non-Hermitian Quantum System and Complexization of Berry's Phase
In this paper the evolution of a quantum system drived by a non-Hermitian Hamiltonian depending on slowly-changing parameters is studied by building an universal high-order adiabatic approximation(HOAA) method with Berry's phase ,which is valid for either the Hermitian or the non-Hermitian cases. This method can be reg...
1993-05-02
2009-10-22
[ "hep-th" ]
Chang-Pu Sun
hep-th/9304161
A note on quantum structure constants
The Cartan-Maurer equations for any $q$-group of the $A_{n-1}, B_n, C_n, D_n$ series are given in a convenient form, which allows their direct computation and clarifies their connection with the $q=1$ case. These equations, defining the field strengths, are essential in the construction of $q$-deformed gauge theories. ...
1993-05-01
2016-09-06
[ "hep-th" ]
Leonardo Castellani and Marco A. R-Monteiro
hep-th/9304164
The basis of the Ponzano-Regge-Turaev-Viro-Ooguri model is the loop representation basis
We show that the Hilbert space basis that defines the Ponzano-Regge- Turaev-Viro-Ooguri combinatorial definition of 3-d Quantum Gravity is the same as the one that defines the Loop Representation. We show how to compute lengths in Witten's 3-d gravity and how to reconstruct the 2-d geometry from a state of Witten's the...
1993-05-01
2009-10-22
[ "hep-th", "math.QA" ]
Carlo Rovelli
hep-th/9304155
Heterotic string solutions and coset conformal field theories
We discuss solutions of the heterotic string theory which are analogous to bosonic and superstring backgrounds related to coset conformal field theories. A class of exact `left-right symmetric' solutions is obtained by supplementing the metric, antisymmetric tensor and dilaton of the superstring solutions by the gauge ...
1993-05-01
2009-09-25
[ "hep-th" ]
A.Giveon, E.Rabinovici and A.A.Tseytlin
hep-th/9304162
Exact Solution to the One-Plaquette Model of Induced QCD at Large $N$
The induced lattice gauge theory with various types of inducing fields in fundamental representation of $SU(N_{c})$ is considered. In a simple case of one-plaquette lattice the model is solved in the large $N_{c}$ limit by means of loop equations. Comparison with the solution of usual QCD shows the equivalence of i...
1993-04-30
2007-05-23
[ "hep-th" ]
K. Zarembo
hep-th/9304163
N=2 Supersymmetry in Two-Dimensional Dilaton Gravity
Actions for $D=2$, $N=2$ supergravity coupled to a scalar field are calculated, and it is shown that the most general power-counting renormalizable dilaton gravity action has an $N=2$ locally supersymmetric extension. The presence of chiral terms in the action leads one to hope that non-renormalization theorems similar...
1993-04-30
2009-10-22
[ "hep-th" ]
William M. Nelson and Youngchul Park
hep-th/9304159
ADM masses for black strings and p-branes
An ADM mass formula is derived for a wide class of black solutions with certain spherical symmetry. By applying this formula, we calculate the ADM masses for recently discovered black strings and $p$-branes in diverse dimensions. By this, the Bogolmol'nyi equation can be shown to hold explicitly. A useful observation i...
1993-04-30
2010-11-01
[ "hep-th" ]
J. X. Lu
hep-th/9304158
Correlation functions of the One-Dimensional Random Field Ising Model at Zero Temperature
We consider the one-dimensional random field Ising model, where the spin-spin coupling, $J$, is ferromagnetic and the external field is chosen to be $+h$ with probability $p$ and $-h$ with probability $1-p$. At zero temperature, we calculate an exact expression for the correlation length of the quenched average of the ...
1993-04-30
2009-10-22
[ "hep-th", "cond-mat", "hep-lat" ]
Edward Farhi and Sam Gutmann
hep-th/9304160
Italian workshop on quantum groups
The first ``Convegno Informale su Quantum Groups'' was held in Florence from February 3 to 6, 1993. This Convegno was conceived as an informal meeting to bring together all the italian people working in the field of quantum groups and related topics. We are very happy indeed that about 30 theoretical physicists decided...
1993-04-30
2008-02-03
[ "hep-th", "math.QA" ]
Enrico Celeghini and M. Tarlini
hep-th/9304156
Aspects of Non-Abelian Toda Theories
We present a definition of the non-abelian generalisations of affine Toda theory related from the outset to vertex operator constructions of the corresponding Kac-Moody algebra $\gh$. Reuslts concerning conjugacy classes of the Weyl group of the finite Lie algebra $\fing$ to embeddings of $A_1$ in $\fing$ are used both...
1993-04-30
2008-02-03
[ "hep-th" ]
Jonathan Underwood
hep-th/9304157
Grading of Spinor Bundles and Gravitating Matter in Non-Commutative Geometry
The gravitating matter is studied within the framework of the non-commutative geometry. The non-commutative Einstein-Hilbert action on the product of a four dimensional manifold with a discrete space gives the models of matter fields coupled to the standard Einstein gravity.The matter multiplet is encoded in the Dirac ...
1993-04-30
2009-10-22
[ "hep-th" ]
C. Klimcik, A. Pompos and V. Soucek
hep-th/9304154
Duality Symmetric Actions
It is frequently useful to construct dual descriptions of theories containing antisymmetric tensor fields by introducing a new potential whose curl gives the dual field strength, thereby interchanging field equations with Bianchi identities. We describe a general procedure for constructing actions containing both poten...
1993-04-29
2009-09-15
[ "hep-th" ]
John H. Schwarz and Ashoke Sen
hep-th/9304152
On ${\bf W_{\infty}}$ Algebras, Gauge Equivalence of KP Hierarchies, Two-Boson Realizations and their KdV Reductions
The gauge equivalence between basic KP hierarchies is discussed. The first two Hamiltonian structures for KP hierarchies leading to the linear and non-linear $\Winf$ algebras are derived. The realization of the corresponding generators in terms of two boson currents is presented and it is shown to be related to many in...
1993-04-29
2008-02-03
[ "hep-th" ]
H. Aratyn, L.A. Ferreira, J.F. Gomes, A.H. Zimerman
hep-th/9304150
Virasoro Characters from Bethe Equations for the Critical Ferromagnetic Three-State Potts Model
We obtain new fermionic sum representations for the Virasoro characters of the confromal field theory describing the ferromagnetic three-state Potts spin chain. These arise from the fermionic quasi-particle excitations derived from the Bethe equations for the eigenvalues of the hamiltonian. In the conformal scaling lim...
1993-04-29
2009-10-22
[ "hep-th" ]
S. Dasmahapatra, R. Kedem, B.M. McCoy and E. Melzer
hep-th/9304136
Cancellation of the Chiral Anomaly in a Model with Spontaneous Symmetry Breaking
A perturbatively renormalized Abelian Higgs-Kibble model with a chirally coupled fermion is considered. The Slavnov identity is fulfilled to all orders of perturbation theory, which is crucial for renormalizability in models with vector bosons. BRS invariance, i.e. the validity of the identity, forces the chiral anomal...
1993-04-29
2009-10-22
[ "hep-th", "hep-ph" ]
Thomas Portmann
hep-th/9304153
Quantum Fluctuations and Irreversibility
We study how the effects of quantum corrections lead to notions of irreversibility and clustering in quantum field theory. In particular, we consider the virtual ``charge" distribution generated by quantum corrections and adopt for it a statistical interpretation. Then, this virtual charge is shown to ($a$) describe a ...
1993-04-29
2007-05-23
[ "hep-th", "gr-qc", "hep-ph" ]
J. Perez-Mercader
hep-th/9304149
A remark on the coupling-dependence in affine Toda field theories
The affine Toda field theories based on the non simply-laced Lie algebras are discussed. By rewriting the S-matrix formulae found by Delius et al, a universal form for the coupling-constant dependence of these models is obtained, and related to various general properties of the classical couplings. This is illustrated ...
1993-04-28
2009-10-22
[ "hep-th" ]
Patrick Dorey
hep-th/9304144
Casimir Invariants for Quantized Affine Lie Algebras
Casimir invariants for quantized affine Lie algebras are constructed and their eigenvalues computed in any irreducible highest weight representation.
1993-04-28
2009-10-22
[ "hep-th" ]
M.D.Gould and Y.-Z.Zhang
hep-th/9304147
Measurement of the Schrodinger wave of a single particle
We show that it is possible to measure Schrodinger wave of a single quantum system. This provides a strong argument for associating physical reality with the quantum state of a single system, and challenges the usual assumption that the quantum state has physical meaning only for an ensemble of identical systems.
1993-04-28
2009-10-22
[ "hep-th", "gr-qc" ]
Yakir Aharonov and Lev Vaidman
hep-th/9304143
Quantized Affine Lie Algebras and Diagonalization of Braid Generators
Let $U_q(\hat{\cal G})$ be a quantized affine Lie algebra. It is proven that the universal R-matrix $R$ of $U_q(\hat{\cal G})$ satisfies the celebrated conjugation relation $R^\dagger=TR$ with $T$ the usual twist map. As applications, braid generators are shown to be diagonalizable on arbitrary tensor product modules o...
1993-04-28
2009-10-22
[ "hep-th", "math.QA" ]
Mark D. Gould and Yao-Zhong Zhang
hep-th/9304145
A Bilocal Field Theory in Four Dimensions
A bilocal field theory having M\"{o}bius gauge invariance is proposed. In four dimensions there exists a zero momentum state of the first quantized model, which belongs to a non-trivial BRS cohomology class. A field theory lagrangian having a gauge invariance only in four dimensions is constructed.
1993-04-28
2009-12-30
[ "hep-th" ]
Takayuki Hori
hep-th/9304148
Numerical Analysis of Black Hole Evaporation
Black hole formation/evaporation in two-dimensional dilaton gravity can be described, in the limit where the number $N$ of matter fields becomes large, by a set of second-order partial differential equations. In this paper we solve these equations numerically. It is shown that, contrary to some previous suggestions, bl...
1993-04-28
2009-09-17
[ "hep-th", "gr-qc" ]
Tsvi Piran and Andrew Strominger
hep-th/9304142
The Projective Unitary Irreducible Representations of the Poincar\'e Group in 1+2 Dimensions
We give a complete analysis of the projective unitary irreducible representations of the Poincar\'e group in 1+2 dimensions applying Mackey theorem and using an explicit formula for the universal covering group of the Lorentz group in 1+2 dimensions. We provide explicit formulae for all representations.
1993-04-28
2015-06-26
[ "hep-th" ]
Dan Radu Grigore
hep-th/9304146
A Few Projects in String Theory
In these lectures I discuss various unsolved problems of string theory and their relations to quantum gravity, 3d Ising model, large N QCD, and quantum cosmology. No solutions are presented but some new and perhaps useful approaches are suggested.
1993-04-28
2008-02-03
[ "hep-th" ]
A.M. Polyakov
hep-th/9304151
Semiclassical analysis of two- and three-spin antiferromagnets and anyons on a sphere
We do a semiclassical analysis for two or three spins which are coupled antiferromagnetically to each other. The semiclassical wave functions transform correctly under permutations of the spins if one takes into account the Wess-Zumino term present in the path integral for spins. The Wess-Zumino term here is a total de...
1993-04-28
2010-11-01
[ "hep-th", "cond-mat" ]
Diptiman Sen
hep-th/9304141
Factorized Scattering in the Presence of Reflecting Boundaries
We formulate a general set of consistency requirements, which are expected to be satisfied by the scattering matrices in the presence of reflecting boundaries. In particular we derive an equivalent to the boostrap equation involving the W-matrix, which encodes the reflection of a particle off a wall. This set of equati...
1993-04-27
2011-05-05
[ "hep-th" ]
A. Fring and R. K\"oberle
hep-th/9304138
Hidden Symmetry of the Racah and Clebsch-Gordan Problems for the Quantum Algebra sl_q(2)
The Askey-Wilson algebra $AW(3)$ with three generators is shown to serve as a hidden symmetry algebra underlying the Racah and (new) generalized Clebsch-Gordan problems for the quantum algebra $sl_q(2)$. On the base of this hidden symmetry a simple method to calculate corresponding coefficients in terms of the Askey-Wi...
1993-04-27
2008-02-03
[ "hep-th", "math.QA" ]
Ya. I. Granovskii and A. S. Zhedanov
hep-th/9304131
Higher spins dynamics in the closed string theory
The general $\sigma$-model-type string action including both massless and massive higher spins background fields is suggested. Field equations for background fields are followed from the requirement of quantum Weyl invariance. It is shown that renormalization of the theory can be produced level by level. The detailed c...
1993-04-27
2010-11-01
[ "hep-th" ]
I.L. Buchbinder, E.S. Fradkin, S.L. Lyakhovich and V.D. Pershin
hep-th/9304137
Deformed Wong Particles
By generalizing the Feynman proof of the Lorentz force law, recently reported by Dyson, we derive equations of motion for particles possessing internal degrees of freedom $I^a$ which do not, in general, generate a finite algebra. We obtain consistency criteria for fields which interact with such particles. It is argued...
1993-04-27
2009-10-22
[ "hep-th" ]
A. Stern and I. Yakushin
hep-th/9304132
Light-Cone Parametrizations for K\"Ahler Manifolds
It is shown that, for any K\"ahler manifold, there exist parametrizations such that the metric takes a block-form identical to the light-cone metric introduced by Polyakov for two-dimensional gravity. Besides its possible relevence for various aspects of K\"ahlerian geometry, this fact allows us to change gauge in W gr...
1993-04-27
2009-10-22
[ "hep-th" ]
Jean-Loup Gervais, Yutaka Matsuo
hep-th/9304128
Quantum Black Hole Evaporation
We investigate a recently proposed model for a full quantum description of two-dimensional black hole evaporation, in which a reflecting boundary condition is imposed in the strong coupling region. It is shown that in this model each initial state is mapped to a well-defined asymptotic out-state, provided one performs ...
1993-04-27
2009-10-22
[ "hep-th" ]
Kareljan Schoutens, Erik Verlinde and Herman Verlinde
hep-th/9304135
ALE manifolds and Conformal Field Theory
We address the problem of constructing the family of (4,4) theories associated with the sigma-model on a parametrized family ${\cal M}_{\zeta}$ of Asymptotically Locally Euclidean (ALE) manifolds. We rely on the ADE classification of these manifolds and on their construction as HyperK\"ahler quotients, due to Kronheime...
1993-04-27
2011-07-19
[ "hep-th" ]
D. Anselmi, M. Bill\'o, P. Fr\'e, L. Girardello, A. Zaffaroni
hep-th/9304133
Non-Hermitian Symmetric N=2 Coset Models, Poincare Polynomials, and String Compactification
The field identification problem, including fixed point resolution, is solved for the non-hermitian symmetric $N=2$ superconformal coset theories. Thereby these models are finally identified as well-defined modular invariant CFTs. As an application, the theories are used as subtheories in tensor products with $c=9$, wh...
1993-04-27
2010-11-01
[ "hep-th" ]
J\"urgen Fuchs and Christoph Schweigert
hep-th/9304134
Gluing of Branched Surfaces by Sewing of Fermionic String Vertices
We glue together two branched spheres by sewing of two Ramond (dual) two-fermion string vertices and present a rigorous analytic derivation of the closed expression for the four-fermion string vertex. This method treats all oscillator levels collectively and the obtained answer verifies that the closed form of the four...
1993-04-27
2010-11-01
[ "hep-th" ]
Bengt E.W. Nilsson, Per Sundell
hep-th/9304140
Form Factors in Affine Toda Field Theories
I briefly review the properties of classical affine Toda field theories and indicate how some of this features survive in the quantum theory on-shell. I demonstrate how this knowledge can be extended off-shell, i.e. how to compute correlation functions for completely integrable models via the form factor approach. For ...
1993-04-27
2007-05-23
[ "hep-th" ]
A. Fring
hep-th/9304139
Supersymmetric quantum mechanics and the Korteweg-de Vries hierarchy
The connection between supersymmetric quantum mechanics and the Korteweg- de Vries (KdV) equation is discussed, with particular emphasis on the KdV conservation laws. It is shown that supersymmetric quantum mechanics aids in the derivation of the conservation laws, and gives some insight into the Miura transformation t...
1993-04-27
2009-10-22
[ "hep-th", "hep-ph" ]
Aaron K. Grant and Jonathan L. Rosner
hep-th/9304129
The Strength of String Nonperturbative Effects and Strong-Weak Coupling Duality
A strong-weak coupling duality symmetry of the string equations of motion has been suggested in the literature. This symmetry implies that vacua occur in pairs. Since the coupling constant is a dynamical variable in string theory, tunneling solutions between strong and weak coupling vacua may exist. Such solutions woul...
1993-04-27
2011-06-10
[ "hep-th" ]
J.D. Cohn and Vipul Periwal
hep-th/9304130
Dynkin Diagrams of ${CP}^1$ Orbifolds
We investigate $N=2$ supersymmetric sigma model orbifolds of the sphere in the large radius limit. These correspond to $N=2$ superconformal field theories. Using the equations of topological-anti-topological fusion for the topological orbifold, we compute the generalized Dynkin diagrams of these theories - i.e., the so...
1993-04-27
2009-10-22
[ "hep-th" ]
Eric Zaslow
hep-th/9304119
On a class of finite sigma-models and string vacua; a supersymmetric extension
Following a suggestion made by Tseytlin, we investigate the case when one replaces the transverse part of the bosonic action by an $n=2$ supersymmetric sigma-model with a symmetric homogeneous K\"ahlerian target space. As conjectured by Tseytlin, the metric is shown to be exactly known since the beta function is known ...
1993-04-26
2007-05-23
[ "hep-th" ]
A. Petermann
hep-th/9304127
Wess-Zumino-Witten model off criticality
We study the renormalization group flow properties of the Wess-Zumino-Witten model in the region of couplings between $g^2=0$ and $g^2=4\pi/k$, by evaluating the two-loop Zamolodchikov's $c$-function. We also discuss the region of negative couplings.
1993-04-26
2009-10-22
[ "hep-th" ]
D. C. Cabra
hep-th/9304120
The Free Quon Gas Suffers Gibbs' Paradox
We consider the Statistical Mechanics of systems of particles satisfying the $q$-commutation relations recently proposed by Greenberg and others. We show that although the commutation relations approach Bose (resp.\ Fermi) relations for $q\to1$ (resp.\ $q\to-1$), the partition functions of free gases are independent of...
1993-04-26
2009-10-22
[ "hep-th" ]
R.F. Werner
hep-th/9304124
On a Jordan-algebraic formulation of quantum mechanics: Hilbert space construction
In this note I discuss some aspects of a formulation of quantum mechanics based entirely on the Jordan algebra of observables. After reviewing some facts of the formulation in the \CS -approach I present a Jordan-algebraic Hilbert space construction (inspired by the usual GNS-construction), thereby obtaining a real Hil...
1993-04-26
2007-05-23
[ "hep-th" ]
Wolfgang Bischoff
hep-th/9304122
Modules Over Affine Lie Superalgebras
Modules over affine Lie superalgebras ${\cal G}$ are studied, in particular, for ${\cal G}=\hat{OSP(1,2)}$. It is shown that on studying Verma modules, much of the results in Kac-Moody algebra can be generalized to the super case. Of most importance are the generalized Kac-Kazhdan formula and the Malikov-Feigin-Fuchs c...
1993-04-26
2008-02-03
[ "hep-th", "math.QA" ]
Jiang-Bei Fan and Ming Yu
hep-th/9304121
Topological Field Theories and the Period Integrals
We discuss topological Landau-Ginzburg theories coupled to the 2-dimensional topological gravity. We point out that the basic recursion relations for correlation functions of the 2-dimesional gravity have exactly the same form as the Gauss-Manin differential equations for the period integrals of superpotentials. Thus t...
1993-04-26
2015-06-26
[ "hep-th" ]
T. Eguchi, Y. Yamada and S.-K. Yang
hep-th/9304126
On the Aharonov-Anandan Experiment
An experiment that would measure non--commuting quantum mechanical observables without collapsing the wave function has been recently proposed by Y Aharonov and J Anandan. These authors argue that this "protected measurement" may give indication on "the reality of the wave function". We argue that, depending of the pre...
1993-04-26
2007-05-23
[ "hep-th" ]
Carlo Rovelli
hep-th/9304125
On the Completeness of the Set of Classical W-Algebras Obtained from DS Reductions
We clarify the notion of the DS --- generalized Drinfeld-Sokolov --- reduction approach to classical ${\cal W}$-algebras. We first strengthen an earlier theorem which showed that an $sl(2)$ embedding ${\cal S}\subset {\cal G}$ can be associated to every DS reduction. We then use the fact that a $\W$-algebra must have a...
1993-04-26
2009-10-22
[ "hep-th" ]
L. Feher, L. O'Raifeartaigh, P. Ruelle and I. Tsutsui
hep-th/9304123
$G/G$ Gauged Supergroup Valued WZNW Field Theory
The $G/G$ gauged supergroup valued WZNW theory is considered. It is shown that for $G=\OSP$, the $G/G$ theory tensoring a ($b$, $c$, $\beta$, $\gamma$) system is equivalent to the non-critical fermionic theory. The relation between integral or half integral moded affine superalgebra and its reduced theory, the NS or R ...
1993-04-26
2008-02-03
[ "hep-th" ]
Jiang-Bei Fan and Ming Yu (CCAST and Institute of Theoretical Physics, Academia Sinica)
hep-th/9304118
Crystal bases, dilogarithm identities and torsion in algebraic K-groups
We give a new interpretation and proof of the dilogarithm identities, associated to the affine Kac-Moody algebra sl(2)^, using the path description of the corresponding crystal basis. We also discuss connections with algebraic K-theory.
1993-04-25
2008-02-03
[ "hep-th", "math.QA" ]
Edward Frenkel and Andras Szenes
hep-th/9304115
On Higher-spin Generalisations of String Theory
We construct BRST operators for certain higher-spin extensions of the Virasoro algebra, in which there is a spin-$s$ gauge field on the world sheet, as well as the spin-2 gauge field corrresponding to the two-dimensional metric. We use these BRST operators to study the physical states of the associated string theories,...
1993-04-24
2009-10-07
[ "hep-th" ]
H. Lu, C.N. Pope and X.J. Wang
hep-th/9304114
Fermion Current Algebras and Schwinger Terms in 3+1 Dimensions
We discuss the restricted linear group in infinite dimensions modeled by the Schatten class of rank $2p=4$ which contains $(3+1)$-dimensional analog of the loop groups and is closely related to Yang-Mills theory with fermions in $(3+1)$-dimensions. We give an alternative to the construction of the ``highest weight'' re...
1993-04-24
2010-11-01
[ "hep-th" ]
Edwin Langmann
hep-th/9304117
Fractal Structure of Quantum Gravity in Two Dimensions
Recent numerical results on the fractal structure of two-dimensional quantum gravity coupled to $c=-2$ matter are reviewed. Analytic derivation of the fractal dimensions based on the Liouville theory and diffusion equation is also discussed. Excellent agreements between the numerical and theoretical results are obtaine...
1993-04-24
2007-05-23
[ "hep-th", "hep-lat" ]
Noboru Kawamoto
hep-th/9304111
Statistics of Q-Oscillators, Quons and Relation to Fractional Satistics
The statistics of $q$-oscillators, quons and to some extent, of anyons are studied and the basic differences among these objects are pointed out. In particular, the statistical distributions for different bosonic and fermionic $q$-oscillators are found for their corresponding Fock space representations in the case when...
1993-04-23
2009-10-22
[ "hep-th" ]
M. Chaichian, R. Gonzales Felipe and C. Montonen
hep-th/9304113
Phase Space Reduction and Vortex Statistics: An Anyon Quantization Ambiguity
We examine the quantization of the motion of two charged vortices in a Ginzburg--Landau theory for the fractional quantum Hall effect recently proposed by the first two authors. The system has two second-class constraints which can be implemented either in the reduced phase space or Dirac-Gupta-Bleuler formalism. Using...
1993-04-23
2013-11-13
[ "hep-th" ]
Theodore J. Allen, Andrew J. Bordner, and Dennis B. Crossley
hep-th/9304110
Non-commutative quantum dynamics
We described a $q$-deformation of a quantum dynamics in one dimension. We prove that there exists only one essential deforamtion of quantum dynamics.
1993-04-23
2015-06-26
[ "hep-th" ]
Jakub Rembielinski & Kordian A. Smolinski
hep-th/9304108
$q$-Deformed Classical Lie Algebras and their Anyonic Realization
All classical Lie algebras can be realized \`a la Schwinger in terms of fermionic oscillators. We show that the same can be done for their $q$-deformed counterparts by simply replacing the fermionic oscillators with anyonic ones defined on a two dimensional lattice. The deformation parameter $q$ is a phase related to t...
1993-04-23
2011-07-21
[ "hep-th" ]
Marialuisa Frau, Marco A. R-Monteiro and Stefano Sciuto
hep-th/9304109
Non-Perturbative 2-Dimensional String Theory
We review some aspects of the non-perturbative formulation of 2-dim. string theory in terms of non-relativistic fermions. We derive the bosonization using $W_\infty$ coherent states in the path-integral formulation. We discuss the classical limit and indicate the precise nature of the truncation of the full theory that...
1993-04-23
2007-05-23
[ "hep-th" ]
Spenta R. Wadia
hep-th/9304112
Free Fermionic Elliptic Reflection Matrices and Quantum Group Invariance
Elliptic diagonal solutions for the reflection matrices associated to the elliptic $R$ matrix of the eight vertex free fermion model are presented. They lead through the second derivative of the open chain transfer matrix to an XY hamiltonian in a magnetic field which is invariant under a quantum deformed Clifford--Hop...
1993-04-23
2009-10-22
[ "hep-th", "cond-mat", "nlin.SI", "solv-int" ]
R.Cuerno and A. Gonz\'alez--Ruiz
hep-th/9304107
Self-Similar Potentials and the q-Oscillator Algebra at Roots of Unity
Properties of the simplest class of self-similar potentials are analyzed. Wave functions of the corresponding Schr\"odinger equation provide bases of representations of the $q$-deformed Heisenberg-Weyl algebra. When the parameter $q$ is a root of unity the functional form of the potentials can be found explicitly. The ...
1993-04-22
2009-10-22
[ "hep-th", "funct-an", "math.FA" ]
S.Skorik and V.Spiridonov
hep-th/9304103
Three-Loop Calculation of the Anyonic Full Cluster Expansion
We calculate the perturbative correction to every cluster coefficient of a gas of anyons through second order in the anyon coupling constant, as described by Chern-Simons field theory.
1993-04-22
2009-10-22
[ "hep-th" ]
R. Emparan and M. A. Valle Basagoiti
hep-th/9304104
Anomaly Cancellation in Six Dimensions
I show that anomaly cancellation conditions are sufficient to determine the two most important topological numbers relevant for Calabi-Yau compactification to six dimensions. This reflects the fact that K3 is the only non-trivial CY manifold in two complex dimensions. I explicitly construct the Green-Schwarz counterter...
1993-04-22
2009-10-22
[ "hep-th", "hep-ph" ]
Jens Erler
hep-th/9304106
The Low Level Modular Invariant Partition Functions of Rank-Two Algebras
Using the self-dual lattice method, we make a systematic search for modular invariant partition functions of the affine algebras $g\*{(1)}$ of $g=A_2$, $A_1+A_1$, $G_2$, and $C_2$. Unlike previous computer searches, this method is necessarily complete. We succeed in finding all physical invariants for $A_2$ at levels $...
1993-04-22
2015-06-26
[ "hep-th" ]
Terry Gannon and Q. Ho-Kim
hep-th/9304100
Factorization in 2D String Theory
We show the factorization of correlation functions of tachyon operators in 2D string theory using the discretized approach of Moore. Our demonstration of the factorization is more general than that of the paper of Sakai and Tanii. We obtain the rules for the factorization of tachyon amplitudes. Our results can be under...
1993-04-22
2009-10-22
[ "hep-th" ]
Hiroshi Shirokura
hep-th/9304102
Four Dimensional Gravitational Backgrounds Based on N=4 c=4 Superconformal Systems
We propose two new realizations of the N=4, $\hat{c}=4$ superconformal system based on the compact and non-compact versions of parafermionic algebras. The target space interpretation of these systems is given in terms of four-dimensional target spaces with non-trivial metric and topology different from the previously k...
1993-04-22
2008-11-26
[ "hep-th" ]
C. Kounnas
hep-th/9304101
QED(1+1) by Dirac Quantization
(some errors corrected, slightly extended)
1993-04-22
2008-02-03
[ "hep-th" ]
Joakim Hallin
hep-th/9304105
Non-Local Effects in String Black Holes
We consider modifications to general relativity due to non-local string effects by using perturbation theory about the 4-dimensional Schwarzschild black hole metric. In keeping with our interpretation in previous works of black holes as quantum p-branes we investigate non-local effects due to a critical bosonic string ...
1993-04-22
2007-05-23
[ "hep-th" ]
B.Harms and Y.Leblanc
hep-th/9304095
Geometry the Renormalization Group and Gravity
We discuss the relationship between geometry, the renormalization group (RG) and gravity. We begin by reviewing our recent work on crossover problems in field theory. By crossover we mean the interpolation between different representations of the conformal group by the action of relevant operators. At the level of the ...
1993-04-21
2023-02-06
[ "hep-th" ]
Denjoe O'Connor and C. R. Stephens
hep-th/9304092
Effective Lagrangian for self-interacting scalar field theories in curved spacetime
We consider a self-interacting scalar field theory in a slowly varying gravitational background field. Using zeta-function regularization and heat-kernel techniques, we derive the one-loop effective Lagrangian up to second order in the variation of the background field and up to quadratic terms in the curvature tensors...
1993-04-21
2009-10-22
[ "hep-th" ]
Klaus Kirsten, Guido Cognola and Luciano Vanzo
hep-th/9304093
Reply to `Comment on Gravity and the Poincare' Group'
In the first order form, the model considered by Strobl presents, besides local Lorentz and diffeomorphism invariances, an additional local non-linear symmetry. When the model is realized as a Poincar\'e gauge theory according to the procedure outlined in Refs.[1,2], the generators of the non-linear symmetry are respon...
1993-04-21
2009-10-22
[ "hep-th" ]
G. Grignani and G. Nardelli
hep-th/9304096
A Monopole Solution in open String Theory
We investigate a solution of the Weyl invariance conditions in open string theory in 4 dimensions. In the closed string sector this solution is a combination of the SU(2) Wess--Zumino--Witten model and a Liouville theory. The investigation is carried out in the $\sigma$ model approach where we have coupled all massless...
1993-04-21
2010-11-01
[ "hep-th" ]
K. Behrndt
hep-th/9304094
Canonical Analysis of Poincare' Gauge Theories for Two Dimansional Gravity
Following the general method discussed in Refs.[1,2], Liouville gravity and the 2 dimensional model of non-Einstenian gravity ${\cal L} \sim curv^2 + torsion^2 + cosm. const.$ can be formulated as ISO(1,1) gauge theories. In the first order formalism the models present, besides the Poincar\'e gauge symmetry, additional...
1993-04-21
2010-04-06
[ "hep-th" ]
G. Grignani and G. Nardelli
hep-th/9304089
Generalizations of the thermal Bogoliubov transformation
The thermal Bogoliubov transformation in thermo field dynamics is generalized in two respects. First, a generalization of the $\alpha$--degree of freedom to tilde non--conserving representations is considered. Secondly, the usual $2\times2$ Bogoliubov matrix is extended to a $4\times4$ matrix including mixing of modes ...
1993-04-21
2009-10-22
[ "hep-th" ]
P. Elmfors and H. Umezawa
hep-th/9304099
Generalization of the Gale-Ryser theorem
We prove an inequality for the Kostka-Foulkes polynomials $K_{\lambda ,\mu}(q)$. As a corollary, we obtain a nontrivial lower bound for the Kostka numbers and a new proof of the Berenstein-Zelevinsky weight-multiplicity-one-criterium.
1993-04-21
2008-02-03
[ "hep-th", "math.CO" ]
Anatol N. Kirillov
hep-th/9304098
Seventy Relatives of the Monster Module
Recent work on the classification of conformal field theories with one primary field (the identity operator) is reviewed. The classification of such theories is an essential step in the program of classification of all rational conformal field theories, but appears impossible in general. The last managable case, centra...
1993-04-21
2008-02-03
[ "hep-th", "math.QA" ]
A. N. Schellekens
hep-th/9304097
Exact supersymmetry in the nonrelativistic hydrogen atom
We consider a Pauli particle in a Coulomb field. The supersymmetric Hamiltonian is constructed, by explicitly giving the two supercharges $Q_{1}$ and $ Q_{2}$ in the full three-dimensional space and which together with the Hamiltonian, are shown to constitute an $S(2)$ superalgebra. This offers an alternative way of gr...
1993-04-21
2009-10-22
[ "hep-th" ]
R.D. Tangerman and J.A. Tjon
hep-th/9304088
Critical and Topological Properties of Cluster Boundaries in the $3d$ Ising Model
We analyze the behavior of the ensemble of surface boundaries of the critical clusters at $T=T_c$ in the $3d$ Ising model. We find that $N_g(A)$, the number of surfaces of given genus $g$ and fixed area $A$, behaves as $A^{-x(g)}$ $e^{-\mu A}$. We show that $\mu$ is a constant independent of $g$ and $x(g)$ is approxima...
1993-04-21
2009-10-22
[ "hep-th", "cond-mat", "hep-lat" ]
V. Dotsenko, G. Harris, E. Marinari, E. Martinec, M. Picco and P. Windey
hep-th/9304087
Chern--Simons Perturbation Theory II
In a previous paper [\AS], we used superspace techniques to prove that perturbation theory (around a classical solution with no zero modes) for Chern--Simons quantum field theory on a general $3$-manifold $M$ is finite. We conjectured (and proved for the case of $2$-loops) that, after adding counterterms of the expecte...
1993-04-21
2008-02-03
[ "hep-th", "math.DG", "math.QA" ]
Scott Axelrod and I. M. Singer
hep-th/9304091
The Renormalization Structure and Quantum Equivalence of 2D Dilaton Gravities
The one-loop effective action corresponding the general model of dilaton gravity given by the Lagrangian $L=-\sqrt{g} \left[ \frac{1}{2}Z(\Phi ) g^{\mu\nu} \partial_\mu \Phi \partial_\nu \Phi + C(\Phi ) R + V (\Phi )\right]$, where $Z(\Phi )$, $ C(\Phi )$ and $V (\Phi )$ are arbitrary functions of the dilaton field, is...
1993-04-21
2009-09-17
[ "hep-th" ]
E. Elizalde, S. Naftulin and S.D. Odintsov
hep-th/9304083
Low-Temperature Expansions and Correlation Functions of the Z_3-Chiral Potts Model
Using perturbative methods we derive new results for the spectrum and correlation functions of the general Z_3-chiral Potts quantum chain in the massive low-temperature phase. Explicit calculations of the ground state energy and the first excitations in the zero momentum sector give excellent approximations and confirm...
1993-04-20
2009-10-22
[ "hep-th" ]
N.S. Han and A. Honecker
hep-th/9304084
Physical states in $N = 1$ supergravity
By solving the supersymmetry constraints for physical wave-functions, it is shown that the only two allowed bosonic states in $ N = 1 $ supergravity are of the form const.~exp~$(\pm I / \hbar) $, where $ I $ is an action functional of the three-metric. States containing a finite number of fermions are forbidden. In the...
1993-04-20
2009-10-22
[ "hep-th" ]
P.D. D'Eath
hep-th/9304116
Coset Construction of Minimal Models
Usual coset construction $\SU{k}\times\SU{l}/\SU{k+l}$ of Wess--Zumino conformal field theory is presented as a coset construction of minimal models. This new coset construction can be defined rigorously and allows one to calculate easily correlation functions of a number of primary fields.
1993-04-20
2011-07-19
[ "hep-th" ]
M. Yu. Lashkevich
hep-th/9304086
Dynamics of cosmic strings and springs; a covariant formulation
A general family of charge-current carrying cosmic string models is investigated. In the special case of circular configurations in arbitrary axially symmetric gravitational and electromagnetic backgrounds the dynamics is determined by simple point particle Hamiltonians. A certain "duality" transformation relates our r...
1993-04-20
2010-04-06
[ "hep-th" ]
Arne L. Larsen
hep-th/9304085
Exact Solution of the general Non Intersecting String Model
We present a thorough analysis of the Non Intersecting String (NIS) model and its exact solution. This is an integrable $q$-states vertex model describing configurations of non-intersecting polygons on the lattice. The exact eigenvalues of the transfer matrix are found by analytic Bethe Ansatz. The Bethe Ansatz equatio...
1993-04-20
2009-10-22
[ "hep-th", "nlin.SI", "solv-int" ]
H.J. de Vega and G. Giavarini
hep-th/9304090
Renormalization Group Approach to Matrix Models in Two-Dimensional Quantum Gravity
We explore the implications of recent work by Br\'ezin and Zinn-Justin, applying the renormalization group techniques from critical phenomena to the scaling limit of matrix models in two-dimensional quantum gravity. They endeavor to get the lowest order fixed points of the theory giving insight upon the critical points...
1993-04-20
2009-10-22
[ "hep-th" ]
Carles Ayala
hep-th/9304080
Construction of Affine and Conformal Affine Toda Solitons by Hirota's Method
In this talk we report some results about the construction of soliton solutions for the Affine and Conformal Affine Toda models using the Hirota's method. We obtain new classes of solitons connected to the degeneracies of the Cartan matrix eigenvalues as well as to some particular features of the recursive scheme devel...
1993-04-19
2007-05-23
[ "hep-th" ]
H. Aratyn, C.P. Constantinidis, L.A. Ferreira, J.F. Gomes and A.H. Zimerman
hep-th/9304075
Chern-Simons $p$-Branes and $p$-Dimensional Classical $W$-Algebras
It is shown that the generalized (with nonpolynomial Lagrangian) Chern-Simons membranes and in general $p$-branes moving in $D$-dimensional target space admit an infinite set of secondary constraints. With respect to the Poisson bracket these constraints satisfy closed algebra containing $p$-dimensional classical $W$ a...
1993-04-19
2007-05-23
[ "hep-th" ]
Raiko P. Zaikov
hep-th/9304069
Propagation of particles and strings in one-dimensional Universe
We review the basics of the dynamics of closed strings moving along the discretized line \Z. The string excitations are described by a field \phi_x(\tau) where x is the position of the string in the embedding space and \tau is a semi-infinite ``euclidean time'' parameter related to the longitudinal mode of the string. ...
1993-04-19
2007-05-23
[ "hep-th" ]
Ivan K. Kostov
hep-th/9304081
Chern-Simons States and Topologically Massive Gauge Theories
In an abelian topologically massive gauge theory, any eigenstate of the Hamiltonian can be decomposed into a factor describing massive propagating gauge bosons and a Chern-Simons wave function describing a set of nonpropagating ``topological'' excitations. The energy depends only on the propagating modes, and energy ei...
1993-04-19
2010-04-28
[ "hep-th" ]
M. Asorey, S. Carlip, and F. Falceto
hep-th/9304079
Anomaly matching for the QCD string
A criterion to be satisfied by a string theory of QCD is formulated in the ultraviolet regime. It arises from the trace anomaly of the QCD stress tensor computed using instantons. It is sensitive to asymptotic freedom. It appears to be related to the trace anomaly of the QCD string. Our current understanding of noncrit...
1993-04-19
2009-12-30
[ "hep-th" ]
B. S. Balakrishna
hep-th/9304078
Violations of the String Hypothesis in the Solutions of the Bethe Ansatz Equations in the XXX-Heisenberg
We study the equations for the quasi-momenta which characterize the wave-functions in the Bethe ansatz for the XXX-Heisenberg model. We show in a simple analytical fashion, that the usual ``string hypothesis" incorrectly predicts the number of real solutions and the number of complex solutions for $N>21$ in the sector ...
1993-04-19
2009-10-22
[ "hep-th" ]
K. Isler and M. B. Paranjape
hep-th/9304071
Partition Functions for the Rigid String and Membrane at Any Temperature
Exact expressions for the partition functions of the rigid string and membrane at any temperature are obtained in terms of hypergeometric functions. By using zeta function regularization methods, the results are analytically continued and written as asymptotic sums of Riemann-Hurwitz zeta functions, which provide very ...
1993-04-19
2009-09-17
[ "hep-th" ]
E. Elizalde, S. Leseduarte and S.D. Odintsov
hep-th/9304074
On the Clebsch-Gordan coefficients for the two-parameter quantum algebra $SU(2)_{p,q}$
We show that the Clebsch - Gordan coefficients for the $SU(2)_{p,q}$ - algebra depend on a single parameter Q = $\sqrt{pq}$ ,contrary to the explicit calculation of Smirnov and Wehrhahn [J.Phys.A 25 (1992),5563].
1993-04-19
2009-10-22
[ "hep-th", "math.QA" ]
Stjepan Meljanac and Marijan Milekovic
hep-th/9304070
Dirac and Weyl Equations on a Lattice as Quantum Cellular Automata
A discretized time evolution of the wave function for a Dirac particle on a cubic lattice is represented by a very simple quantum cellular automaton. In each evolution step the updated value of the wave function at a given site depends only on the values at the nearest sites, the evolution is unitary and preserves chir...
1993-04-19
2009-10-22
[ "hep-th", "hep-lat" ]
Iwo Bialynicki-Birula
hep-th/9304073
Covariant - tensor method for quantum groups and applications I: $SU(2)_{q}$
A covariant - tensor method for $SU(2)_{q}$ is described. This tensor method is used to calculate q - deformed Clebsch - Gordan coefficients. The connection with covariant oscillators and irreducible tensor operators is established. This approach can be extended to other quantum groups.
1993-04-19
2009-10-22
[ "hep-th", "math.QA" ]
Stjepan Meljanac and Marijan Milekovic
hep-th/9304077
R-matrices of U_qOSP(1,2) for highest weight representations of U_qOSP(1,2) for general q and q is an odd root of unity
We obtain the formula for intertwining operator(R-matrix) of quantum universal enveloping superalgebra U_qOSP(1,2) for U_qOSP(1,2)-Verma modules. By its restriction we obtain the R-matrix for two semiperiodic(semicyclic), two spin-j and spin-j and semiperiodic representations
1993-04-19
2007-05-23
[ "hep-th" ]
T.Hakobyan and A.G.Sedrakyan
hep-th/9304082
A Comment on the Propagator of the Radial Oscillator
Using a hybrid approach, based on the recursion relations for shape invariant potentials developed by Das and Huang and a time-dependent tranformation of variables, we derive the propagator for a radial oscillator. Although this is not a new result, we explicitly show that time-dependent tranformations are very benefic...
1993-04-19
2013-11-13
[ "hep-th" ]
C. J. Efthimiou
hep-th/9304076
A U(1) Current Algebra Model Coupled to 2D-Gravity
We consider a simple model of a scalar field with $U(1)$ current algebra gauge symmetry coupled to $2D$-gravity in order to clarify the origin of Stuckelberg symmetry in the $w_{\infty}$-gravity theory. An analogous symmetry takes place in our model too. The possible central extension of the complete symmetry algebra a...
1993-04-19
2009-10-22
[ "hep-th" ]
M. Stoilov and R. Zaikov
hep-th/9304072
Wave Propagation in Stringy Black Hole
We further study the nonperturbative formulation of two-dimensional black holes. We find a nonlinear differential equation satisfied by the tachyon in the black hole background. We show that singularities in the tachyon field configurations are always associated with divergent semiclassical expansions and are absent in...
1993-04-17
2010-11-01
[ "hep-th" ]
Avinash Dhar, Gautam Mandal and Spenta R. Wadia
hep-th/9304065
On a generalised bootstrap principle
The S-matrices for non-simply-laced affine Toda field theories are considered in the context of a generalised bootstrap principle. The S-matrices, and in particular their poles, depend on a parameter whose range lies between the Coxeter numbers of dual pairs of the corresponding non-simply-laced algebras. It is propose...
1993-04-16
2009-10-22
[ "hep-th" ]
E. Corrigan, P.E. Dorey, R. Sasaki