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hep-th/9303149
Baby universes in 2d quantum gravity
We investigate the fractal structure of $2d$ quantum gravity, both for pure gravity and for gravity coupled to multiple gaussian fields and for gravity coupled to Ising spins. The roughness of the surfaces is described in terms of baby universes and using numerical simulations we measure their distribution which is rel...
1993-03-26
2009-10-22
[ "hep-th", "hep-lat" ]
J. Ambjorn, S. Jain and G. Thorleifsson
hep-th/9303146
Low Temperature Expansion of Matrix Models
We show how to expand the free energy of a matrix model coupled to arbitrary matter in powers of the matter coupling constant. Concentrating on $\nu$ uncoupled Ising models---which have central charge $\nu/2$---we work out the expansion to sixth order for $\nu$ = 1, 2, and 3. Analyzing the series by the ratio method, w...
1993-03-26
2009-10-22
[ "hep-th", "hep-lat" ]
Mark Wexler
hep-th/9303147
Energy Momentum Tensor of the Evaporating Black Hole and Local Bogoljubov Transformations
The method of Hawking to obtain black hole evaporation through Bogoljubov transformation between asymptotic modes (in and out) is generalized. The construction is local in that the in modes (of say positive frequency) are decomposed by Bogoljubov transformation into positive and negative frequency local inertial modes ...
1993-03-26
2019-08-17
[ "hep-th" ]
S.Massar, R. Parentani, R. Brout
hep-th/9303142
On a possible algebra morphism of U$_q$[OSP(1/2N)] onto the deformed oscillator algebra W$_q$(N)
We formulate a conjecture, stating that the algebra of $n$ pairs of deformed Bose creation and annihilation operators is a factor-algebra of $U_q[osp(1/2n)]$, considered as a Hopf algebra, and prove it for $n=2$ case. To this end we show that for any value of $q$ $U_q[osp(1/4)]$ can be viewed as a superalgebra, freely ...
1993-03-25
2011-07-19
[ "hep-th", "math.QA" ]
T. D. Palev and N. I. Stoilova
hep-th/9303143
Comment on the Background Independent Open String Theory
A direct derivation of the string field theory action in the Witten's background independent open string theory for the case when ghosts and matter are decoupled is given and consequences are discussed.
1993-03-25
2010-11-01
[ "hep-th" ]
Samson L. Shatashvili
hep-th/9303138
An Exact Solution of Induced Large-N Lattice Gauge Theory at Strong Coupling
I show that the strong coupling solution of the Kazakov--Migdal model with a general interaction potential $V(\Phi)$ in $D$ dimensions coincides at large $N$ with that of the hermitean one-matrix model with the potential $\tilde{V}(\Phi)$: $$ (2D-1)\tilde{V}'= (D-1)V'+ D\sqrt{(V')^2+4(1-2D)\Phi^2}, $$ whose solution is...
1993-03-25
2008-02-03
[ "hep-th", "hep-lat" ]
Yu. Makeenko
hep-th/9303140
Tachyon Back Reaction on $d = 2$ String Black Hole
We describe a static solution for $d = 2$ critical string theory including the tachyon $T$ but with its potential $V (T)$ set to zero. This solution thus incorporates tachyon back reaction and, when $T = 0$, reduces to the black hole solution. When $T \neq 0$ we find that (1) the Schwarzschild horizon of the above blac...
1993-03-25
2009-10-22
[ "hep-th", "gr-qc" ]
S. Kalyana Rama
hep-th/9303141
q-Deformed Brownian Motion
Brownian motion may be embedded in the Fock space of bosonic free field in one dimension.Extending this correspondence to a family of creation and annihilation operators satisfying a q-deformed algebra, the notion of q-deformation is carried from the algebra to the domain of stochastic processes.The properties of q-def...
1993-03-25
2009-10-22
[ "hep-th", "math.PR" ]
V. I. Man'ko, R. Vilela Mendes
hep-th/9303135
Wave Function of the Universe in Topological and in Einstein 2-form Gravity
We clarify the relation between 2-form Einstein gravity and its topological version. The physical space of the topological version is contained in that of the Einstein gravity. Moreover a new vector field is introduced into 2-form Einstein gravity to restore the large symmetry of its topological version. The wave fun...
1993-03-24
2007-05-23
[ "hep-th" ]
Akika Nakamichi
hep-th/9303131
Schr\"{o}dinger Fields on the Plane with $[U(1)]^N$ Chern-Simons Interactions and Generalized Self-dual Solitons
A general non-relativistic field theory on the plane with couplings to an arbitrary number of abelian Chern-Simons gauge fields is considered. Elementary excitations of the system are shown to exhibit fractional and mutual statistics. We identify the self-dual systems for which certain classical and quantal aspects of ...
1993-03-24
2009-10-22
[ "hep-th" ]
Chanju Kim, Choonkyu Lee, Pyungwon Ko, Bum-Hoon Lee, and Hyunsoo Min
hep-th/9303137
On the Quantizations of the Damped Systems
Based on a simple observation that a classical second order differential equation may be decomposed into a set of two first order equations, we introduce a Hamiltonian framework to quantize the damped systems. In particular, we analyze the system of a linear damped harmonic oscillator and demonstrate that the time evol...
1993-03-24
2015-06-26
[ "hep-th" ]
Chihong Chou
hep-th/9303134
Canonical Theory of 2d Gravity Coupled to Conformal Matter
A canonical quantization for two dimensional gravity models, including a dilaton gravity model, is performed in a way suitable for the light-cone gauge. We extend the theory developed by Abdalla {\it et.al.}\cite{AM} and obtain the correlation functions by using the screening charges of the symmetry algebra. It turns o...
1993-03-24
2007-05-23
[ "hep-th" ]
Taku Uchino
hep-th/9303136
On the Geometry of the Batalin-Vilkovisky Formalism
An invariant definition of the operator $\Delta $ of the Batalin-Vilkovisky formalism is proposed. It is defined as the divergence of a Hamiltonian vector field with an odd Poisson bracket (antibracket). Its main properties, which follow from this definition, as well as an example of realization on K\"ahlerian superman...
1993-03-24
2015-06-26
[ "hep-th" ]
O. M. Khudaverdian and A. P. Nersessian
hep-th/9303132
Study of Quommutators of Quantum Variables and Generalized Derivatives
A general deformation of the Heisenberg algebra is introduced with two deformed operators instead of just one. This is generalised to many variables, and permits the simultaneous existence of coherent states, and the transposition of creation operators.
1993-03-24
2009-10-22
[ "hep-th", "math.QA" ]
D. B. Fairlie and J. Nuyts
hep-th/9303133
Induced and Effective Gravity Theories in D=2
As a preparation for the study of {\it arbitrary} extensions of $d=2$ gravity we present a detailed investigation of $SO(N)$ supergravity. By gauging a chiral, nilpotent subgroup of the $OSp(N|2)$ Wess-Zumino-Witten model we obtain an all order expression for the effective action. Reality of the coupling constant impos...
1993-03-24
2009-10-22
[ "hep-th" ]
Alexander Sevrin, Kris Thielemans and Walter Troost
hep-th/9303139
Integrability and Matrix Models
The theory of matrix models is reviewed from the point of view of its relation to integrable hierarchies. Discrete 1-matrix, 2-matrix, ``conformal'' (multicomponent) and Kontsevich models are considered in some detail, together with the Ward identites (``W-constraints''), determinantal formulas and continuum limits, ta...
1993-03-24
2010-12-17
[ "hep-th" ]
A. Morozov
hep-th/9303126
Mellin Transform Techniques for Zeta-Function Resummations
Making use of inverse Mellin transform techniques for analytical continuation, an elegant proof and an extension of the zeta function regularization theorem is obtained. No series commutations are involved in the procedure; nevertheless the result is naturally split into the same three contributions of very different n...
1993-03-23
2007-05-23
[ "hep-th" ]
E. Elizalde, S. Leseduarte and S. Zerbini
hep-th/9303125
2D Dilaton-Maxwell Gravity as a Fixed Point of the Renormalization Group
A general model of dialton-Maxwell gravity in two dimensions is investigated. The corresponding one-loop effective action and the generalized $\beta$-functions are obtained. A set of models that are fixed points of the renormalization group equations are presented.
1993-03-23
2009-09-17
[ "hep-th" ]
E. Elizalde, S. Naftulin and S.D. Odintsov
hep-th/9303130
Loop Equation in Turbulence
The incompressible fluid dynamics is reformulated as dynamics of closed loops $C$ in coordinate space. This formulation allows to derive explicit functional equation for the generating functional $\Psi[C]$ in inertial range of spatial scales, which allows the scaling solutions. The requirement of finite energy dissipat...
1993-03-23
2008-02-03
[ "hep-th" ]
Alexander A. Migdal
hep-th/9303129
Ward identities and W-constraints in Generalized Kontsevich Model
The connection is obtained between Ward identities and W-constraints in Generalized Kontsevich Model with the potential $X^4/4$. We show that Ward identities include W-constraints (and do not include any other constraints) for this potential and make some observations in favour of the same connection for the model with...
1993-03-23
2015-06-26
[ "hep-th" ]
A.Mikhailov
hep-th/9303127
Simplicial Quantum Gravity and Random Lattices
Content: 1. Introduction 2. Regge calculus and dynamical triangulations Simplicial manifolds and piecewise linear spaces - dual complex and volume elements - curvature and Regge action - topological invariants - quantum Regge calculus - dynamical triangulations 3. Two dimensional quantum gravity, dynamical tria...
1993-03-23
2016-09-06
[ "hep-th" ]
F. David
hep-th/9303123
Ultraviolet Stable Fixed Point and Scaling Relations in 2+$\epsilon$ Dimensional Quantum Gravity
We formulate a renormalizable quantum gravity in $2+\epsilon$ dimensions by generalizing the nonlinear sigma model approach to string theory. We find that the theory possesses the ultraviolet stable fixed point if the central charge of the matter sector is in the range $0~<~c~<~25$. This may imply the existence of cons...
1993-03-23
2009-10-22
[ "hep-th" ]
Hikaru Kawai, Yoshihisa Kitazawa and Masao Ninomiya
hep-th/9303128
Path Integration Via Summation of Perturbation Expansions and Applications to Totally Reflecting Boundaries, and Potential Steps
The path integral for the propagator is expanded into a perturbation series, which can be exactly summed in the case of $\delta$-function perturbations giving a closed expression for the (energy-dependent) Green function. Making the strength of the $\delta$-function perturbation infinite repulsive, produces a totally r...
1993-03-23
2009-10-22
[ "hep-th" ]
Christian Grosche
hep-th/9303124
Relativistic Dynamics of Spin in Strong External Fields
The dynamics of relativistic spinning particles in strong external electromagnetic or gravitational fields is discussed. Spin-orbit coupling is shown to affect such relativistic phenomena as time-dilation and perihelion shift. Possible applications include muon decay in a magnetic field and the dynamics of neutron star...
1993-03-23
2023-12-12
[ "hep-th", "hep-ph" ]
J.W. van Holten
hep-th/9303120
Exact Ground State Wave Functions for N Anyons in a Magnetic Field on a Torus
The complete set of ground state wave functions for N anyons in an external magnetic field on the torus is found. The cases when the filling factor is less than or equal to one are considered. The single valued description of anyons is employed through out by coupling bosons to a Chern-Simons field. At the end, the Che...
1993-03-22
2015-06-26
[ "hep-th" ]
Ansar Fayyazuddin
hep-th/9303122
Finiteness and Unitarity of Lorentz-Covariant Green-Schwarz Superstring Amplitudes
In two recent papers, a new method was developed for calculating ten-dimensional superstring amplitudes with an arbitrary number of loops and external massless particles, and for expressing them in manifestly Lorentz-invariant form. By explicitly checking for divergences when the Riemann surface degenerates, these ampl...
1993-03-22
2009-10-22
[ "hep-th" ]
Nathan Berkovits
hep-th/9303121
Quantum Dynamical Model for Wave Function Reduction in Classical and Macroscopic Limits
In this papper, a quantum dynamical model describing the quantum measurement process is presented as an extensive generalization of the Coleman-Hepp model. In both the classical limit with very large quantum number and macroscopic limit with very large particle number in measuring instrument, this model generally reali...
1993-03-22
2009-10-22
[ "hep-th" ]
Chang-Pu Sun
hep-th/9303118
Fused Potts Models
Generalizing the mapping between the Potts model with nearest neighbor interaction and six vertex model, we build a family of "fused Potts models" related to the spin $k/2$ ${\rm U}_{q}{\rm su}(2)$ invariant vertex model and quantum spin chain. These Potts model have still variables taking values $1,\ldots,Q$ ($\sqrt{Q...
1993-03-20
2011-07-19
[ "hep-th" ]
W.M.Koo and H.Saleur
hep-th/9303115
Positive energy representations of the conformal quantum algebra
The positive-energy unitary irreducible representations of the $q$-deformed conformal algebra ${\cal C}_q = {\cal U}_q(su(2,2))$ are obtained by appropriate deformation of the classical ones. When the deformation parameter $q$ is $N$-th root of unity, all these unitary representations become finite-dimensional. For thi...
1993-03-19
2009-10-22
[ "hep-th" ]
L. Dabrowski, V.K. Dobrev, R. Floreanini and V. Husain
hep-th/9303113
Anomaly-Induced Magnetic Screening in 2+1 dimensional QED at Finite Density
We show that in 2+1 dimensional Quantum Electrodynamics an external magnetic field applied to a finite density of massless fermions is screened, due to a $2+1$-dimensional realization of the underlying $2$-dimensional axial anomaly of the space components of the electric current. This is shown to imply screening of the...
1993-03-19
2009-10-22
[ "hep-th" ]
Stefano Forte (INFN Torino, Italy)
hep-th/9303116
Matrix Models and Nonperturbative String Propagation in Two-Dimensional Black Hole Backgrounds
We identify a quantity in the $c=1$ matrix model which describes the wavefunction for physical scattering of a tachyon from a black hole of the two dimensional critical string theory. At the semiclassical level this quantity corresponds to the usual picture of a wave coming in from infinity, part of which enters the bl...
1993-03-19
2014-11-18
[ "hep-th" ]
Sumit R. Das
hep-th/9303110
Combinatorial Invariants from Four Dimensional Lattice Models
We study the subdivision properties of certain lattice gauge theories based on the groups $Z_{2}$ and $Z_{3}$, in four dimensions. The Boltzmann weights are shown to be invariant under all type $(k,l)$ subdivision moves, at certain discrete values of the coupling parameter. The partition function then provides a combin...
1993-03-19
2009-10-22
[ "hep-th", "hep-lat", "math.QA" ]
Danny Birmingham and Mark Rakowski
hep-th/9303117
On the Quantization of the Chern-Simons Fields Theory on Curved Space-Times: the Coulomb Gauge Approach
We consider here the Chern-Simons field theory with gauge group SU(N) in the presence of a gravitational background that describes a two-dimensional expanding ``universe". Two special cases are treated here in detail: the spatially flat {\it Robertson-Walker} space-time and the conformally static space-times having a g...
1993-03-19
2009-10-22
[ "hep-th" ]
Franco Ferrari
hep-th/9303111
Dilogarithm Identities in Conformal Field Theory and Group Homology
Recently, Rogers' dilogarithm identities have attracted much attention in the setting of conformal field theory as well as lattice model calculations. One of the connecting threads is an identity of Richmond-Szekeres that appeared in the computation of central charges in conformal field theory. We show that the Richmon...
1993-03-19
2009-10-22
[ "hep-th", "math.CA" ]
J. L. Dupont (Aarhus) and C. H. Sah (SUNY Stony Brook)
hep-th/9303114
Amplitude Zeroes in Collinear Processes or What Is Left from a Factorizable 2d Model in Higher Dimensions
We show that for collinear processes, i.e. processes where the incoming and outgoing momenta are aligned along the same line, the S-matrix of the tree level 2+1 dimensional Thirring model factorizes: any S - matrix element is a product of $2\rightarrow 2$ elements. In particular this means nullification of all collinea...
1993-03-19
2009-10-22
[ "hep-th" ]
G. Gat and B. Rosenstein
hep-th/9303112
SUSY in the sky
Spinning particles in curved space-time can have fermionic symmetries generated by the square root of bosonic constants of motion other than the Hamiltonian. We present a general analysis of the conditions under which such new supersymmetries appear, and discuss the Poisson-Dirac algebra of the resulting set of charges...
1993-03-19
2009-10-07
[ "hep-th" ]
G.W. Gibbons, R.H. Rietdijk and J.W. van Holten
hep-th/9303108
Form Factors of the Elementary Field in the Bullough-Dodd Model
We derive the recursive equations for the form factors of the local hermitian operators in the Bullough-Dodd model. At the self-dual point of the theory, the form factors of the fundamental field of the Bullough-Dodd model are equal to those of the fundamental field of the Sinh-Gordon model at a specific value of the c...
1993-03-19
2009-10-22
[ "hep-th" ]
A. Fring, G. Mussardo and P. Simonetti
hep-th/9303119
On the relation between integrability and infinite-dimensional algebras
We review our work on the relation between integrability and infinite-dimensional algebras. We first consider the question of what sets of commuting charges can be constructed from the current of a \mbox{\sf U}(1) Kac-Moody algebra. It emerges that there exists a set $S_n$ of such charges for each positive integer $n>1...
1993-03-19
2007-05-23
[ "hep-th" ]
M. D. Freeman and P. West
hep-th/9303107
Some Remarks on the Two Parameters Quantum Algebra $SU_{p,k}$}
The two parameters quantum algebra $SU_{p,k}(2)$ can be obtained from a single parameter algebra $SU_q(2)$. This fact gives some relations between $SU_{p,k}(2)$ quantities and the corresponding ones of the $SU_q(2)$ algebra. In this paper are mentioned the relations concerning: Casimir operators, eigenvectors, matrix e...
1993-03-19
2007-05-23
[ "hep-th" ]
M.Micu (Dept. theor. phys., Inst. Atomic Phys., Bucharest MG-6, Romania)
hep-th/9303109
Induced Chiral Supergravities in 2D
We analyze actions for 2D supergravities induced by chiral conformal supermatter. The latter may be thought as described at the classical level by superspace actions invariant under super-reparametrization, super-Weyl and super-Lorentz transformations. Upon quantization various anomalies appear which characterize the n...
1993-03-19
2009-10-22
[ "hep-th" ]
Fiorenzo Bastianelli and Ulf Lindstrom
hep-th/9303105
Exponent of n-Ising matter fields coupled to 2d gravity
n-Ising spins on a random surface represented by a matrix model is studied as a model of the 2D gravity coupled to matter field with the central charge c > 1. The magnetic field is introduced to discuss the scaling exponent $\Delta$, and the value of this magnetic field exponent is estimated by the series expansion.
1993-03-19
2009-10-22
[ "hep-th" ]
Shinobu Hikami
hep-th/9303106
Axion-Dilaton Black Holes
In this talk some essential features of stringy black holes are described. We consider charged four-dimensional axion-dilaton black holes. The Hawking temperature and the entropy of all solutions are shown to be simple functions of the squares of supercharges, defining the positivity bounds. Spherically symmetric and m...
1993-03-19
2009-10-22
[ "hep-th" ]
Renata Kallosh
hep-th/9303102
Dyonic black holes in effective string theories
The spherical symmetric dyonic black hole solutions of the effective action of heterotic string are studied perturbatively up to second order in the inverse string tension. An expression for the temperature in term of the mass and the electric and magnetic charge of the black hole is derived and it is shown that its be...
1993-03-18
2009-10-22
[ "hep-th" ]
S. Mignemi
hep-th/9303103
Black Hole Evaporation in the Presence of a Short Distance Cutoff
A derivation of the Hawking effect is given which avoids reference to field modes above some cutoff frequency $\omega_c\gg M^{-1}$ in the free-fall frame of the black hole. To avoid reference to arbitrarily high frequencies, it is necessary to impose a boundary condition on the quantum field in a timelike region near t...
1993-03-18
2009-10-22
[ "hep-th", "gr-qc" ]
Ted Jacobson
hep-th/9303104
Dimensionally Reduced Landau-Ginzburg Orbifolds with Discrete Torsion
It is observed that a large class of $(2,2)$ string vacua with $n>5$ superfields can be rewritten as Landau_Ginzburg orbifolds with discrete torsion and $n=5$. The naive geometric interpretation (if one exists) would be that of a complex 3-fold, not necessarily K\"ahler but still with vanishing first Chern class.
1993-03-18
2010-11-01
[ "hep-th" ]
P. Berglund
hep-th/9303096
Unitarity and Complete Reducibility of Certain Modules over Quantized Affine Lie Algebras
Let $U_q(\hat{\cal G})$ denote the quantized affine Lie algebra and $U_q({\cal G}^{(1)})$ the quantized {\em nontwisted} affine Lie algebra. Let ${\cal O}_{\rm fin}$ be the category defined in section 3. We show that when the deformation parameter $q$ is not a root of unit all integrable representations of $U_q(\hat{\c...
1993-03-17
2009-10-22
[ "hep-th", "math.QA" ]
Yao-Zhong Zhang and Mark D. Gould
hep-th/9303094
Geometrical origin of integrability for Liouville and Toda theory
We generalize the Lax pair and B\"acklund transformations for Liouville and Toda field theories as well as their supersymmetric generalizations, to the case of arbitrary Riemann surfaces. We make use of the fact that Toda field theory arises naturally and geometrically in a restriction of so called $W$--geometry to ord...
1993-03-17
2008-02-03
[ "hep-th", "nlin.SI", "solv-int" ]
Kenichiro Aoki and Eric D'Hoker
hep-th/9303100
On pq-duality and explicit solutions in $c \le 1$ $2d$ gravity models
We study the integral representation for the exact solution to nonperturbative $c le 1$ string theory. A generic solution is determined by two functions $W(x)$ and $Q(x)$ which behaive at infinity like $x^p$ and $x^q$ respectively. The integral model for arbitrary $(p,q)$ models is derived which explicitely demonstrate...
1993-03-17
2015-06-26
[ "hep-th" ]
S.Kharchev, A.Marshakov
hep-th/9303101
Integrable structures in matrix models and physics of 2d-gravity
A review of the appearence of integrable structures in the matrix model description of $2d$-gravity is presented. Most of ideas are demonstrated at the technically simple but ideologically important examples. Matrix models are considered as a sort of "effective" description of continuum $2d$ field theory formulation. T...
1993-03-17
2015-06-26
[ "hep-th" ]
A.Marshakov
hep-th/9303097
Intermittency in the q-State Potts Model
We define a block observable for the $q$-state Potts model which exhibits an intermittent behaviour at the critical point. We express the intermittency indices of the normalised moments in terms of the magnetic critical exponent $\beta /\nu$ of the model. We confirm this relation by a numerical similation of the $q=2$ ...
1993-03-17
2009-09-25
[ "hep-th" ]
Yves Leroyer
hep-th/9303098
Gauge covariance and the fermion-photon vertex in three- and four- dimensional, massless quantum electrodynamics
In the quenched approximation, the gauge covariance properties of three vertex Ans\"{a}tze in the Schwinger-Dyson equation for the fermion self energy are analysed in three- and four- dimensional quantum electrodynamics. Based on the Cornwall-Jackiw-Tomboulis effective action, it is inferred that the spectral represent...
1993-03-17
2010-03-04
[ "hep-th" ]
Conrad J. Burden and Craig D. Roberts
hep-th/9303095
On Universal $R$-Matrix for Quantized Nontwisted Rank 3 Affine Lie Algebras
Explicit formulas of the universal $R$-matrix are given for all quantized nontwisted rank 3 affine Lie algebras $U_q(A_2^{(1)})\,,~U_q(C_2^{(1)})$ and $U_q(G_2^{(1)})$.
1993-03-17
2009-10-22
[ "hep-th", "math.QA" ]
Yao-Zhong Zhang and Mark D. Gould
hep-th/9303099
A Large k Asymptotics of Witten's Invariant of Seifert Manifolds
We calculate a large $k$ asymptotic expansion of the exact surgery formula for Witten's $SU(2)$ invariant of Seifert manifolds. The contributions of all flat connections are identified. An agreement with the 1-loop formula is checked. A contribution of the irreducible connections appears to contain only a finite number...
1993-03-17
2010-11-01
[ "hep-th", "math.QA" ]
Lev Rozansky
hep-th/9303093
Rational Theories of 2D Gravity from the Two-Matrix Model
The correspondence claimed by M. Douglas, between the multicritical regimes of the two-matrix model and 2D gravity coupled to (p,q) rational matter field, is worked out explicitly. We found the minimal (p,q) multicritical potentials U(X) and V(Y) which are polynomials of degree p and q, correspondingly. The loop averag...
1993-03-16
2009-10-22
[ "hep-th" ]
J.M. Daul, V. Kazakov and I. Kostov
hep-th/9303091
Quantum Deformed $su(m|n)$ Algebra and Superconformal Algebra on Quantum Superspace
We study a deformed $su(m|n)$ algebra on a quantum superspace. Some interesting aspects of the deformed algebra are shown. As an application of the deformed algebra we construct a deformed superconformal algebra. {}From the deformed $su(1|4)$ algebra, we derive deformed Lorentz, translation of Minkowski space, $iso(2,2...
1993-03-16
2009-10-22
[ "hep-th" ]
Tatsuo Kobayashi
hep-th/9303090
Exact Beta Functions in the Vector Model and Renormalization Group Approach
The validity of the renormalization group approach for large $N$ is clarified by using the vector model as an example. An exact difference equation is obtained which relates free energies for neighboring values of $N$. The reparametrization freedom in field space provides infinitely many identities which reduce the inf...
1993-03-16
2009-10-22
[ "hep-th" ]
Saburo Higuchi, Chigak Itoi and Norisuke Sakai
hep-th/9303092
Classical differential geometry and integrability of systems of hydrodynamic type
Remarkable parallelism between the theory of integrable systems of first-order quasilinear PDE and some old results in projective and affine differential geometry of conjugate nets, Laplace equations, their Bianchi-Baecklund transformations is exposed. These results were recently applied by I.M.Krichever and B.A.Dubr...
1993-03-16
2008-02-03
[ "hep-th", "math.DG" ]
S. P. Tsarev
hep-th/9303084
A Four-Reggeon Vertex for ${\bf Z}_3$ Twisted Fermionic Fields
Using operator sewing techniques we construct the Reggeon vertex involving four external ${\bf Z}_3$-twisted complex fermionic fields. Generalizing a procedure recently applied to the ordinary Ramond four-vertex, we deduce the closed form of the ${\bf Z}_3$ vertex by demanding it to reproduce the results obtained by se...
1993-03-15
2009-10-22
[ "hep-th" ]
Niclas Engberg and Bengt E.W. Nilsson
hep-th/9303089
Supersymmetric KP Systems Embedded in Supersymmetric Self-Dual Yang-Mills Theory
We show that $~N=1$~ {\it supersymmetric} Kadomtsev-Petviashvili (SKP) equations can be embedded into recently formulated $~N=1$~ self-dual {\it supersymmetric} Yang-Mills theories after appropriate dimensional reduction and truncation, which yield three-dimensional supersymmetric Chern-Simons theories. Based on this r...
1993-03-15
2009-10-22
[ "hep-th" ]
H. Nishino
hep-th/9303087
Extended Non-Abelian Gauge Symmetries in Classical WZNW Model
The present paper is revised copy of hep-th/9303087 in which higher spin extensions of the nonabelian gauge symmetries for the classical WZNW model are considered. Both linear and nonlinear realizations of the extended affine Kac-Moody algebra are obtained. A characteristic property of the WZNW model is that it admits ...
1993-03-15
2009-10-22
[ "hep-th" ]
Raiko P. Zaikov
hep-th/9303086
Zero-curvature condition in two dimensions. Relativistic particle models and finite \W-transformations
A relation between an $Sp(2M)$ gauge particle model and the zero-curvature condition in a two-dimensional gauge theory is presented. For the $Sp(4)$ case we construct finite \W-transformations.
1993-03-15
2017-02-01
[ "hep-th" ]
J. Gomis, J. Herrero, K. Kamimura and J. Roca
hep-th/9303085
Superconformal theories from Pseudoparticle Mechanics
We consider a one-dimensional Osp($N|2M$) pseudoparticle mechanical model which may be written as a phase space gauge theory. We show how the pseudoparticle model naturally encodes and explains the two-dimensional zero curvature approach to finding extended conformal symmetries. We describe a procedure of partial gauge...
1993-03-15
2009-10-22
[ "hep-th" ]
Karyn M. Apfeldorf and Joaquim Gomis
hep-th/9303083
On the Dirac Quantization of two Dimensional Gravity
We discuss the Dirac quantization of two dimensional gravity with bosonic matter fields. After defining the extended Hamiltonian it is possible to fix the gauge completely. The commutators can all be obtained in closed form; nevertheless, the results are not particularly simple.
1993-03-15
2007-05-23
[ "hep-th" ]
M.C.B. Abdalla, F.P. Devecchi, E. Abdalla
hep-th/9303080
Non-Abelian Chern-Simons Quantum Mechanics
We propose a classical model for the non-Abelian Chern-Simons theory coupled to $N$ point-like sources and quantize the system using the BRST technique. The resulting quantum mechanics provides a unified framework for fractional spin, braid statistics and Knizhnik-Zamolodchikov equation.
1993-03-15
2009-10-22
[ "hep-th" ]
Taejin Lee and Phillial Oh
hep-th/9303082
Comments on Witten Invariants of 3-Manifolds for SU(2) and $Z_m$
The values of the Witten invariants, $I_W$, of the lens space $L(p, 1)$ for SU(2) at level $k$ are obtained for arbitrary $p$. A duality relation for $I_W$ when $p$ and $k$ are interchanged, valid for asymptotic $k$, is observed. A method for calculating $I_W$ for any group $G$ is described. It is found that $I_W$ for ...
1993-03-15
2007-05-23
[ "hep-th" ]
S. Kalyana Rama and Siddhartha Sen
hep-th/9303081
Equivalent models for gauged WZW theory
We modify the $SL(2,{\bf R})/U(1)$ WZW theory, which was shown to describe strings in a 2D black hole, to be invariant under chiral $U(1)$ gauge symmetry by introducing a Steukelberg field. We impose several interesting gauge conditions for the chiral $U(1)$ symmetry. In a paticular gauge the theory is found to be redu...
1993-03-15
2015-06-26
[ "hep-th" ]
Haruhiko Terao and Kiyonori Yamada
hep-th/9303088
Chern-Simons States in Topologically Massive Gauge Theories
The set of degenerate ground states of an arbitrary nonabelian topologically massive gauge theory is shown to be in one-to-one correspondence with the Hilbert space of the associated pure Chern-Simons theory. (Paper is being withdrawn: original conclusion is incorrect for the nonabelian case. For a correct treatment, s...
1993-03-15
2016-09-06
[ "hep-th" ]
S. Carlip
hep-th/9303078
Parity violation and the mean field approximation for the anyon gas
We examine an approach to justifying the mean field approximation for the anyon gas, using the scattering of anyons. Parity violation permits a nonzero average scattering angle, from which one can extract a mean radius of curvature for anyons. If this is larger than the interparticle separation, one expects that the gr...
1993-03-14
2015-06-26
[ "hep-th", "cond-mat" ]
Didier Caenepeel and Richard MacKenzie
hep-th/9303079
Matrix Models of Induced Large-N QCD
I review recent works on the problem of inducing large-N QCD by matrix fields. In the first part of the talk I describe the matrix models which induce large-N QCD and present the results of studies of their phase structure by the standard lattice technology (in particular, by the mean field method). The second part is ...
1993-03-14
2007-05-23
[ "hep-th", "hep-lat" ]
Yu. Makeenko
hep-th/9303075
The free energy of the Potts model: from the continuous to the first-order transition region
We present a large $q$ expansion of the 2d $q$-states Potts model free energies up to order 9 in $1/\sqrt{q}$. Its analysis leads us to an ansatz which, in the first-order region, incorporates properties inferred from the known critical regime at $q=4$, and predicts, for $q>4$, the $n^{\rm th}$ energy cumulant scales a...
1993-03-12
2010-12-17
[ "hep-th", "cond-mat", "hep-lat" ]
T. Bhattacharya, R. Lacaze and A. Morel
hep-th/9303076
A Covariant Canonical Description of Liouville Field Theory
Original Version Corrupted by Mailer
1993-03-12
2009-10-09
[ "hep-th" ]
G. Papadopoulos and B. Spence
hep-th/9303074
Veneziano Amplitude for Winding Strings
String configurations with nonzero winding number describe soliton string states. We compute the Veneziano amplitude for the scattering of arbitrary winding states and show that in the large radius limit the strings always scatter trivially and with no change in the individual winding numbers of the strings. In this li...
1993-03-12
2009-10-22
[ "hep-th" ]
Ramzi R. Khuri
hep-th/9303077
Abelian Anomalies in Nonlocal Regularization
Nonlocal regularization of QED is shown to possess an axial anomaly of the same form as other regularization schemes. The Noether current is explicitly constructed and the symmetries are shown to be violated, whereas the identities constructed when one properly considers the contribution from the path integral measure ...
1993-03-12
2015-06-26
[ "hep-th" ]
M. A. Clayton, L. Demopoulos, J. W. Moffat
hep-th/9303070
Collective fermionic excitations in systems with a large chemical potential
We study fermionic excitations in a cold ultrarelativistic plasma. We construct explicitly the quantum states associated with the two branches which develop in the excitation spectrum as the chemical potential is raised. The collective nature of the long wavelength excitations is clearly exhibited. Email contact: ollie...
1993-03-11
2009-10-22
[ "hep-th", "hep-ph" ]
Jean-Paul Blaizot, Jean-Yves Ollitrault
hep-th/9303073
N=2 Superconformal Affine Liouville Theory
We present a new supersymmetric integrable model: the $N=2$ superconformal affine Liouville theory. It interpolates between the $N=2$ super Liouville and $N=2$ super sine-Gordon theories and possesses a Lax representation on the complex affine Kac-Moody superalgebra ${\hat {sl(2| 2)^{(1)}}}$. We show that the higher sp...
1993-03-11
2009-10-22
[ "hep-th" ]
E. Ivanov and F. Toppan
hep-th/9303071
The Geometric Structure of $W_N$-Gravity
The full non-linear structure of the action and transformation rules for $\W_N$-gravity coupled to matter are obtained from a non-linear truncation of those for $w_ \infty$ gravity. The geometry of the construction is discussed, and it is shown that the defining equations become linear after a twistor-like transform.
1993-03-11
2009-10-22
[ "hep-th" ]
C.M. Hull
hep-th/9303072
The universality of the shift of the Chern-Simons parameter for a general class of BRS invariant regularizations
We consider a biparametric family of BRS invariant regularization methods of SU(N) Chern-Simons theory (the parameters defining the family taking arbitrary values in $\RR^2$) and show that the shift $k\to k + sign(k) N$ of the Chern-Simons parameter $k$ occurs for arbitrary values of the family defining parameters. Thi...
1993-03-11
2011-07-19
[ "hep-th" ]
G. Giavarini, C.P. Martin and F. Ruiz Ruiz
hep-th/9303069
Critical Strings from Noncritical Dimensions: A Framework for Mirrors of Rigid Vacau
The role in string theory of manifolds of complex dimension $D_{crit} + 2(Q-1)$ and positive first Chern class is described. In order to be useful for string theory, the first Chern class of these spaces has to satisfy a certain relation. Because of this condition the cohomology groups of such manifolds show a specific...
1993-03-11
2009-10-22
[ "hep-th" ]
Rolf Schimmrigk
hep-th/9303068
Supersymmetry and a Time-Dependent Landau System
A general technique is outlined for investigating supersymmetry properties of a charged spin-$\half$ quantum particle in time-varying electromagnetic fields. The case of a time-varying uniform magnetic induction is examined and shown to provide a physical realization of a supersymmetric quantum-mechanical system. Group...
1993-03-10
2009-09-25
[ "hep-th" ]
V. Alan Kosteleck\'y, V. I. Man'ko, Michael Martin Nieto, and D. Rodney Truax
hep-th/9303061
Self-interacting scalar fields on spacetime with compact hyperbolic spatial part
We calculate the one-loop effective potential of a self-interacting scalar field on the spacetime of the form $\reals^2\times H^2/\Gamma$. The Selberg trace formula associated with a co-compact discrete group $\Gamma$ in $PSL(2,\reals )$ (hyperbolic and elliptic elements only) is used. The closed form for the one-loop ...
1993-03-10
2009-09-17
[ "hep-th" ]
Andrei Bytsenko, Klaus Kirsten, Sergei Odintsov
hep-th/9303060
Neutrino Masses in Superstring Derived Standard--like Models
We propose a new scenario in a class of superstring derived standard--like models that explains the suppression of the left--handed neutrino masses. Due to nonrenormalizable terms and the breaking of the $U(1)_{Z^\prime}$ symmetry a generalized see--saw mechanism takes place. Contrary to the traditional see--saw mechan...
1993-03-10
2011-02-09
[ "hep-th" ]
Alon E. Faraggi and Edi Halyo
hep-th/9303059
Exact Primordial Black Strings in Four Dimensions
A solution of effective string theory in four dimensions is presented which admits interpretation of a rotating black cosmic string. It is constructed by tensoring the three dimensional black hole, extended with the Kalb-Ramond axion, with a flat direction. The physical interpretation of the solution is discussed, with...
1993-03-10
2009-10-22
[ "hep-th", "gr-qc" ]
Nemanja Kaloper
hep-th/9303065
Quantum properties of the polytopic action in some simple geometries
The partition function corresponding to the "polytopic" action, a new action for the gravitational interaction which we have proposed recently, is computed in the simplest two-dimensional geometries of genus zero and one. The functional integral over the Liouville field is approximated by an ordinary integral over the ...
1993-03-10
2019-08-17
[ "hep-th" ]
E. Alvarez, J.Cespedes and E. Verdaguer
hep-th/9303057
Magnetic Monopoles, Bogomol'nyi Bound and SL(2,Z) Invariance in String Theory
We show that in heterotic string theory compactified on a six dimensional torus, the lower bound (Bogomol'nyi bound) on the dyon mass is invariant under the SL(2,Z) transformation that interchanges strong and weak coupling limits of the theory. Elementary string excitations are also shown to satisfy this lower bound. F...
1993-03-10
2009-09-15
[ "hep-th" ]
Ashoke Sen
hep-th/9303067
Role of Short Distance Behavior in Off-Shell Open-String Field Theory
A recent proposal for a background independent open string field theory is studied in detail for a class of backgrounds that correspond to general quadratic boundary interactions on the world-sheet. A short-distance cut-off is introduced to formulate the theory with a finite number of local and potentially unrenormaliz...
1993-03-10
2010-04-07
[ "hep-th" ]
Keke Li and Edward Witten
hep-th/9303064
Liouville and Toda field theories on Riemann surfaces
We study the Liouville theory on a Riemann surface of genus g by means of their associated Drinfeld--Sokolov linear systems. We discuss the cohomological properties of the monodromies of these systems. We identify the space of solutions of the equations of motion which are single--valued and local and explicitly repres...
1993-03-10
2009-10-22
[ "hep-th" ]
E.Aldrovandi and L.Bonora
hep-th/9303063
Schwinger Effect in String Theory
I discuss the quantum instability of an electric field in a theory of open strings.
1993-03-10
2008-02-03
[ "hep-th" ]
C.Bachas
hep-th/9303058
Quantum gauging from classical gauging of nonlinear algebras
We extend the theory of the gauging of classical quadratically nonlinear algebras without a central charge but with a coset structure, to the quantum level. Inserting the minimal anomalies into the classical transformation rules of the currents introduces further quantum corrections to the classical transformation rule...
1993-03-10
2011-07-19
[ "hep-th" ]
A. Sevrin and P. van Nieuwenhuizen
hep-th/9303066
Quantum Knizhnik-Zamolodchikov equations and holomorphic vector bundles
The paper introduces a new geometric interpretation of the quantum Knizhnik-Zamolodchikov equations introduced in 1991 by I.Frenkel and N.Reshetikhin. It turns out that these equations can be linked to certain holomorphic vector bundles on the N-th Cartesian power of an elliptic curve. These bundles are naturally const...
1993-03-10
2008-02-03
[ "hep-th", "math.QA" ]
Pavel Etingof
hep-th/9303062
The Energy-Momentum Tensor in Fulling-Rindler Vacuum
The energy density in Fulling-Rindler vacuum, which is known to be negative "everywhere" is shown to be positive and singular on the horizons in such a fashion as to guarantee the positivity of the total energy. The mechanism of compensation is displayed in detail.
1993-03-10
2010-04-06
[ "hep-th" ]
Parentani Renaud
hep-th/9303052
Yang--Baxter symmetry in integrable models: new light from the Bethe Ansatz solution
We show how any integrable 2D QFT enjoys the existence of infinitely many non--abelian {\it conserved} charges satisfying a Yang--Baxter symmetry algebra. These charges are generated by quantum monodromy operators and provide a representation of $q-$deformed affine Lie algebras. We review and generalize the work of de ...
1993-03-09
2011-07-19
[ "hep-th", "nlin.SI", "solv-int" ]
C. Destri and H. J. de Vega
hep-th/9303055
The Hausdorff dimension of random walks and the correlation length critical exponent in Euclidean field theory
We study the random walk representation of the two-point function in statistical mechanics models near the critical point. Using standard scaling arguments we show that the critical exponent $\nu$ describing the vanishing of the physical mass at the critical point is equal to $\nu_\theta/ d_w$. $d_w$ is the Hausdorff d...
1993-03-09
2009-10-22
[ "hep-th" ]
Joe Kiskis, Rajamani Narayanan, Pavlos Vranas
hep-th/9303048
Entropy and Area
The ground state density matrix for a massless free field is traced over the degrees of freedom residing inside an imaginary sphere; the resulting entropy is shown to be proportional to the area (and not the volume) of the sphere. Possible connections with the physics of black holes are discussed.
1993-03-09
2009-10-22
[ "hep-th", "gr-qc", "hep-lat" ]
Mark Srednicki
hep-th/9303054
Two-dimensional conformal sigma models and exact string solutions
We discuss two classes of exact (in $\a'$) string solutions described by conformal sigma models. They can be viewed as two possibilities of constructing a conformal model out of the non-conformal one based on the metric of a $D$-dimensional homogeneous $G/H$ space. The first possibility is to introduce two extra dimens...
1993-03-09
2007-05-23
[ "hep-th" ]
A.A. Tseytlin
hep-th/9303053
Analytic Multi-Regge Theory and the Pomeron in QCD : II. Gauge Theory Analysis
The high-energy Regge behavior of gauge theories is studied via the formalism of Analytic Multi-Regge Theory. Perturbative results for spontaneously-broken theories are first organised into reggeon diagrams. Unbroken gauge theories are studied via a reggeon diagram infra-red analysis of symmetry restoration. Massless f...
1993-03-09
2014-11-18
[ "hep-th", "hep-ph" ]
Alan R. White
hep-th/9303050
Conformal Turbulence with Boundary
Based upon the formalism of conformal field theory with a boundary, we give a description of the boundary effect on fully developed two dimensional turbulence. Exact one and two point velocity correlation functions and energy power spectrum confined in the upper half plane are obtained using the image method. This resu...
1993-03-09
2010-02-05
[ "hep-th" ]
B.K. Chung, Soonkeon Nam, Q-Han Park, and H.J. Shin
hep-th/9303056
Symmetry and Observables in Induced QCD
We review some of the basic features of the Kazakov-Migdal model of induced QCD. We emphasize the role of $Z_N$ symmetry in determining the observable properties of the model and also argue that it can be broken explicitly without ruining the solvability of induced QCD in the infinite $N$ limit. We outline the sort of ...
1993-03-09
2007-05-23
[ "hep-th", "hep-lat" ]
Gordon W. Semenoff and Nathan Weiss
hep-th/9303049
Exact Solutions to the Wheeler-DeWitt Equation of Two Dimensional Dilaton Gravity
The two dimensional dilaton gravity with the cosmological term and with an even number of matter fields minimally coupled to the gravity is considered. The exact solutions to the Wheeler-DeWitt equation are obtained in an explicit functional form, which contain an arbitrary holomorphic function of the matter fields.
1993-03-09
2024-08-02
[ "hep-th" ]
Takayuki Hori
hep-th/9303051
On the BRST Operator of $W$-Strings
We discuss the conditions under which the BRST operator of a $W$-string can be written as the sum of two operators that are separately nilpotent and anticommute with each other. We illustrate our results with the example of the non-critical $W_3$-string. Furthermore, we apply our results to make a conjecture about a re...
1993-03-09
2009-10-22
[ "hep-th" ]
E. Bergshoeff, H.J. Boonstra, M. de Roo, S. Panda and A. Sevrin
hep-th/9303047
Central extensions of current groups in two dimensions
In this paper we generalize some of these results for loop algebras and groups as well as for the Virasoro algebra to the two-dimensional case. We define and study a class of infinite dimensional complex Lie groups which are central extensions of the group of smooth maps from a two dimensional orientable surface withou...
1993-03-09
2009-10-22
[ "hep-th", "math.QA" ]
Pavel Etingof and Igor B. Frenkel