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hep-th/9310135
Gauged Heterotic Sigma-Models
The gauging of isometries in general sigma-models which include fermionic terms which represent the interaction of strings with background Yang-Mills fields is considered. Gauging is possible only if certain obstructions are absent. The quantum gauge anomaly is discussed, and the (1,0) supersymmetric generalisation of ...
1993-10-20
2011-07-19
[ "hep-th" ]
C. M. Hull
hep-th/9310134
Wilson Loops in Large N QCD on a Sphere
Wilson loop averages of pure gauge QCD at large N on a sphere are calculated by means of Makeenko-Migdal loop equation.
1993-10-20
2009-10-22
[ "hep-th" ]
B.Rusakov
hep-th/9310136
Two Ising Models Coupled to 2-Dimensional Gravity
To investigate the properties of $c=1$ matter coupled to $2$d{--}gravity we have performed large-scale simulations of two copies of the Ising Model on a dynamical lattice. We measure spin susceptibility and percolation critical exponents using finite-size scaling. We show explicitly how logarithmic corrections are need...
1993-10-20
2009-10-22
[ "hep-th", "hep-lat" ]
Mark Bowick, Marco Falcioni, Geoffrey Harris and Enzo Marinari
hep-th/9310127
Dynamically Broken U(1) `Left' Gauge Theories in Four Dimensions
We study a dynamically broken U(1) "left" gauge theory endowed with a composite scalar doublet (one scalar and one pseudoscalar); its Lagrangian only differs from that of an abelian `Standard Model' by the addition of a derivative coupling between a Wess-Zumino field, linked to the previous scalars, and the fermionic c...
1993-10-20
2007-05-23
[ "hep-th", "hep-ph" ]
B. Machet
hep-th/9310130
Two-point Correlation Function in Integrable QFT with Anti-Crossing Symmetry
The two-point correlation function of the stress-energy tensor for the $\Phi_{1,3}$ massive deformation of the non-unitary model ${\cal M}_{3,5}$ is computed. We compare the ultraviolet CFT perturbative expansion of this correlation function with its spectral representation given by a summation over matrix elements of ...
1993-10-20
2009-10-22
[ "hep-th" ]
G. Delfino and G. Mussardo
hep-th/9310133
Fateev-Zamolodchikov spin chain: excitation spectrum, completeness and thermodynamics
The sector of zero $Z_{N}$-charge is studied for the ferromagnetic (FM) and antiferromagnetic (AFM) version of the $Z_{N}\times Z_{2}$ invariant Fateev-Zamolodchikov quantum spin chain. We conjecture that the relevant Bethe ansatz equations should admit, beside the usual string-like solutions, exceptional multiplets, a...
1993-10-20
2015-06-26
[ "hep-th" ]
Giuseppe Albertini
hep-th/9310137
Percolation on Strings and the Cover-up of the c=1 Disaster
We study percolation on the worldsheets of string theory for $c=0,1/2,1$ and $2$. For $c<1$ we find that critical exponents measured from simulations agree quite well with the theoretical values. For $c=1$ we show how log corrections determined from the exact solution reconcile numerical results with the KPZ prediction...
1993-10-20
2009-10-22
[ "hep-th", "cond-mat", "hep-lat" ]
Geoffrey Harris
hep-th/9310132
Quantum Groups, Coherent States, Squeezing and Lattice Quantum Mechanics
By resorting to the Fock--Bargmann representation, we incorporate the quantum Weyl--Heisenberg ($q$-WH) algebra into the theory of entire analytic functions. The main tool is the realization of the $q$--WH algebra in terms of finite difference operators. The physical relevance of our study relies on the fact that coher...
1993-10-20
2011-07-19
[ "hep-th" ]
Celeghini, S.De Martino, S.De Siena, M.Rasetti and G.Vitiello
hep-th/9310129
Analytical Solution to the Fokker-Planck Equation with a Bottomless Action
A new Langevin equation with a field-dependent kernel is proposed to deal with bottomless systems within the framework of the stochastic quantization of Parisi and Wu. The corresponding Fokker-Planck equation is shown to be a diffusion-type equation and is solved analytically. An interesting connection between the solu...
1993-10-20
2009-10-22
[ "hep-th" ]
Hiromichi Nakazato (Univ. of the Ryukyus, Japan)
hep-th/9310126
Aspects of $\kappa$--symmetry
We review various aspects of a fermionic gauge symmetry, known as the $\kappa$--symmetry, which plays an important role in formulations of superstrings, supermembranes and higher dimensional extended objects. We also review some aspects of the connection between $\kappa$--symmetric theories and their twistor-like formu...
1993-10-20
2007-05-23
[ "hep-th" ]
E. Sezgin
hep-th/9310131
Tree scattering amplitudes of the spin-4/3 fractional superstring I: the untwisted sectors
Scattering amplitudes of the spin-4/3 fractional superstring are shown to satisfy spurious state decoupling and cyclic symmetry (duality) at tree-level in the string perturbation expansion. This fractional superstring is characterized by the spin-4/3 fractional superconformal algebra---a parafermionic algebra studied b...
1993-10-20
2009-10-22
[ "hep-th" ]
Philip C. Argyres and S.-H. Henry Tye
hep-th/9310128
Functional determinants on regions of the plane and sphere
The standard formula for the change in the effective action under a conformal transformation is extended to the case when the boundary is piecewise smooth. We then find the functional determinants of the scalar Laplacian on regions of the plane obtained by stereographic projection of the fundamental domains on an orbif...
1993-10-20
2010-04-06
[ "hep-th" ]
J.S.Dowker
hep-th/9310122
Conservation Laws and Geometry of Perturbed Coset Models
We present a Lagrangian description of the $SU(2)/U(1)$ coset model perturbed by its first thermal operator. This is the simplest perturbation that changes sign under Krammers--Wannier duality. The resulting theory, which is a 2--component generalization of the sine--Gordon model, is then taken in Minkowski space. For ...
1993-10-19
2015-06-26
[ "hep-th" ]
I. Bakas
hep-th/9310124
Symmetry transformations in Batalin-Vilkovisky formalism
This short note is closely related to Sen-Zwiebach paper on gauge transformations in Batalin-Vilkovisky theory (hep-th 9309027). We formulate some conditions of physical equivalence of solutions to the quantum master equation and use these conditions to give a very transparent analysis of symmetry transformations in BV...
1993-10-19
2009-10-22
[ "hep-th", "math.QA" ]
Albert Schwarz
hep-th/9310125
Hidden algebra of the $N$-body Calogero problem
A certain generalization of the algebra $gl(N,{\bf R})$ of first-order differential operators acting on a space of inhomogeneous polynomials in ${\bf R}^{N-1}$ is constructed. The generators of this (non)Lie algebra depend on permutation operators. It is shown that the Hamiltonian of the $N$-body Calogero model can be ...
1993-10-19
2009-10-22
[ "hep-th", "funct-an", "math.FA" ]
Alexander Turbiner
hep-th/9310117
Quantum $\kappa$-Poincare in Any Dimensions
The $\kappa$-deformation of the D-dimensional Poincar\'e algebra $(D\geq 2)$ with any signature is given. Further the quadratic Poisson brackets, determined by the classical $r$-matrix are calculated, and the quantum Poincar\'e group "with noncommuting parameters" is obtained.
1993-10-19
2009-10-22
[ "hep-th" ]
Jerzy Lukierski and Henri Ruegg
hep-th/9310150
On Quantum Deformation of the Schwarzschild Solution
We consider the deformation of the Schwarzschild solution in general relativity due to spherically symmetric quantum fluctuations of the metric and the matter fields. In this case, the 4D theory of gravity with Einstein action reduces to the effective two-dimensional dilaton gravity. We have found that the Schwarzschil...
1993-10-19
2009-10-22
[ "hep-th", "gr-qc" ]
D.I.Kazakov, S.N.Solodukhin
hep-th/9310120
Decoherence and Dissipation for a Quantum System Coupled to a Local Environment
Decoherence and dissipation in quantum systems has been studied extensively in the context of Quantum Brownian Motion. Effective decoherence in coarse grained quantum systems has been a central issue in recent efforts by Zurek and by Hartle and Gell-Mann to address the Quantum Measurement Problem. Although these models...
1993-10-19
2007-05-23
[ "hep-th", "cond-mat", "gr-qc" ]
Michael R. Gallis
hep-th/9310118
Supersymmetric Self-Gravitating Solitons
We show that the `instantonic' soliton of five-dimensional Yang-Mills theory and the closely related BPS monopole of four-dimensional Yang-Mills/Higgs theory continue to be exact static, and stable, solutions of these field theories even after the inclusion of gravitational, electromagnetic and, in the four-dimensional...
1993-10-19
2009-10-07
[ "hep-th" ]
G.W. Gibbons, D. Kastor, L.A.J. London, P.K. Townsend, J. Traschen
hep-th/9310116
Introduction to Differential W-Geometry
Ideas recently put forward by Y. Matsuo and the author are summarized on the example of the simplest ($W_3$) generalization of two-dimensional gravity. These notes are based on lectures given at the workshop `` Strings, Conformal Models and Topological Field Theories'', Cargese 12-21 May 1993; and at the meeting ``Stri...
1993-10-19
2007-05-23
[ "hep-th" ]
Jean-Loup Gervais
hep-th/9310114
Faster than light' photons and charged black holes
Photons propagating in curved spacetime may, depending on their direction and polarisation, have velocities exceeding the ``speed of light'' c. This phenomenon arises through vacuum polarisation in QED and is a tidal gravitational effect depending on the local curvature. It implies that the Principle of Equivalence doe...
1993-10-19
2008-11-26
[ "hep-th", "gr-qc" ]
R.D. Daniels and G.M. Shore
hep-th/9310123
Structure of BRS-Invariant Local Functionals
For a large class of gauge theories a nilpotent BRS-operator $s$ is constructed and its cohomology in the space of local functionals of the off-shell fields is shown to be isomorphic to the cohomology of $\4s=s+d$ on functions $f(\4C,\PH)$ of tensor fields $\PH$ and of variables $\4C$ which are constructed of the ghost...
1993-10-19
2007-05-23
[ "hep-th" ]
Friedemann Brandt
hep-th/9310119
On the Two-Point Correlation Function for the $U_q[SU(2)]$ Invariant Spin One-Half Heisenberg Chain at Roots of Unity
Using $U_q[SU(2)]$ tensor calculus we compute the two-point scalar operators (TPSO), their averages on the ground-state give the two-point correlation functions. The TPSOs are identified as elements of the Temperley-Lieb algebra and a recurrence relation is given for them. We have not tempted to derive the analytic exp...
1993-10-19
2009-10-22
[ "hep-th" ]
H. Hinrichsen, P. P. Martin, V. Rittenberg and M. Scheunert
hep-th/9310115
Introduction to Division Algebras, Sphere Algebras and Twistors
A very basic introduction is given to the r\^oles of division algebras and the related sphere algebras concerning the structure of space-time in the dimensionalities $D\is 3,4,6$ and $10$, with special emphasis on twistors transformations for light-likeness conditions and Hopf maps, together with some outlook for parti...
1993-10-19
2007-05-23
[ "hep-th" ]
Martin Cederwall
hep-th/9310121
W-Infinity Symmetry of the Nambu-Goto String in 4 Dimensions
We consider a bosonic string propagating in 4--dim Minkowski space. We show that in the orthonormal gauge the classical system exhibits a hidden $W_{\infty}$ chiral symmetry, arising from the equivalence of its transverse modes with the $SU(2)/U(1)$ coset model defined on the string world--sheet. Generalizations to oth...
1993-10-19
2009-10-22
[ "hep-th" ]
I. Bakas
hep-th/9310110
Off-Shell Bethe Ansatz Equation for Gaudin Magnets and Solutions of Knizhnik-Zamolodchikov Equations
We generalize the previously established connection between the off-shell Bethe ansatz equation for inhomogeneous SU(2) lattice vertex models in the quasiclassical limit and the solutions of the SU(2) Knizhnik-Zamolodchikov equations to the case of arbitrary simple Lie algebras.
1993-10-18
2015-06-26
[ "hep-th" ]
H.M. Babujian and R. Flume
hep-th/9310111
Landau gauge within the Gribov horizon
We consider a model which effectively restricts the functional integral of Yang--Mills theories to the fundamental modular region. Using algebraic arguments, we prove that this theory has the same divergences as ordinary Yang Mills theory in the Landau gauge and that it is unitary. The restriction of the functional int...
1993-10-18
2009-10-22
[ "hep-th" ]
Nicola Maggiore and Martin Schaden
hep-th/9310113
String Theory and Integrable Systems
This is mainly a brief review of some key achievements in a `hot'' area of theoretical and mathematical physics. The principal aim is to outline the basic structures underlying {\em integrable} quantum field theory models with {\em infinite-dimensional} symmetry groups which display a radically new type of {\em quantum...
1993-10-18
2008-02-03
[ "hep-th" ]
Emil Nissimov and Svetlana Pacheva
hep-th/9310112
A WZW model based on a non-semi-simple group
We present a conformal field theory which desribes a homogeneous four dimensional Lorentz-signature space-time. The model is an ungauged WZW model based on a central extension of the Poincar\'e algebra. The central charge of this theory is exactly four, just like four dimensional Minkowski space. The model can be inter...
1993-10-18
2010-04-07
[ "hep-th" ]
C. R. Nappi and E. Witten
hep-th/9310109
Minimum Uncertainty, Coherence and Squeezing in Diffusion Processes, and Stochastic Quantization
We show that uncertainty relations, as well as minimum uncertainty coherent and squeezed states, are structural properties for diffusion processes. Through Nelson stochastic quantization we derive the stochastic image of the quantum mechanical coherent and squeezed states.
1993-10-18
2007-05-23
[ "hep-th", "cond-mat" ]
Salvatore De Martino, Silvio De Siena, Fabrizio Illuminati, and Giuseppe Vitiello
hep-th/9310108
BRST Cohomology in Quantum Affine Algebra $U_q(\widehat{sl_2})$
Using free field representation of quantum affine algebra $U_q(\widehat{sl_2})$, we investigate the structure of the Fock modules over $U_q(\widehat{sl_2})$. The analisys is based on a $q$-analog of the BRST formalism given by Bernard and Felder in the affine Kac-Moody algebra $\widehat {sl_2}$. We give an explicit con...
1993-10-18
2010-11-01
[ "hep-th" ]
Hitoshi Konno
hep-th/9310107
Harmonic Maps and Self-Dual Equations for Immersed Surfaces
The immersion of the string world sheet, regarded as a Riemann surface, in $R^3$ and $R^4$ is described by the generalized Gauss map. When the Gauss map is harmonic or equivalently for surfaces of constant mean curvature, we obtain Hitchin's self-dual equations, by using $SO(3)$ and $SO(4)$ gauge fields constructed in ...
1993-10-18
2007-05-23
[ "hep-th" ]
R.Parthasarathy (The Institute of Mathematical Sciences, Madras, India) and K.S.Viswanathan (Department of Physics,Simon Fraser Universitya, Burnaby. B.C, Canada)
hep-th/9310106
An improved calculation of the Third Virial Coefficient of a free anyon Gas
For three anyons confined in a harmonic oscillator, only the class of states that interpolate nonlinearly with the statistical parameter contributes to the third virial coefficient of a free anyon gas. Rather than evaluating the full three-body partition function as was done in an earlier publication (Phys. Rev. {\bf A...
1993-10-17
2009-10-22
[ "hep-th" ]
J. Law, Avinash Khare, R.K. Bhaduri and Akira Suzuki
hep-th/9310096
Bogomol'nyi Equations of Maxwell-Chern-Simons vortices from a generalized Abelian Higgs Model
We consider a generalization of the abelian Higgs model with a Chern-Simons term by modifying two terms of the usual Lagrangian. We multiply a dielectric function with the Maxwell kinetic energy term and incorporate nonminimal interaction by considering generalized covariant derivative. We show that for a particular ch...
1993-10-17
2009-10-22
[ "hep-th" ]
Pijush K. Ghosh
hep-th/9310101
Comments on information loss and remnants
The information loss and remnant proposals for resolving the black hole information paradox are reconsidered. It is argued that in typical cases information loss implies energy loss, and thus can be thought of in terms of coupling to a spectrum of ``fictitious'' remnants. This suggests proposals for information loss th...
1993-10-16
2013-11-13
[ "hep-th" ]
S.B. Giddings
hep-th/9310102
Operator Formalism on the $Z_n$ Symmetric Algebraic Curves
In this work, the following conjectures are proven in the case of a Riemann surface with abelian group of symmetry: a) The $b-c$ systems on a Riemann surface $M$ are equivalent to a multivalued field theory on the complex plane if $M$ is represented as an algebraic curve; b) the amplitudes of the $b-c$ systems on a Rie...
1993-10-16
2011-07-19
[ "hep-th" ]
F. Ferrari, J. Sobczyk, W. Urbanik
hep-th/9310103
Some Exactly Solvable Three-Body Problems in One dimension
The three-body problem in one-dimension with a repulsive inverse square potential between every pair was solved by Calogero. Here, the known results of supersymmetric quantum mechanics are used to propose a number of new three-body potentials which can be solved algebraically. Analytic expressions for the eigenspectrum...
1993-10-16
2009-10-22
[ "hep-th" ]
Avinash Khare (Institute of Physics, Bhubaneswar, India), and Rajat K. Bhaduri (Dept.of Physics and Astronomy, Mcmaster Univ., Canada)
hep-th/9310104
Supersymmetry,Shape Invariance and Exactly Solvable Noncentral Potentials
Using the ideas of supersymmetry and shape invariance we show that the eigenvalues and eigenfunctions of a wide class of noncentral potentials can be obtained in a closed form by the operator method. This generalization considerably extends the list of exactly solvable potentials for which the solution can be obtained ...
1993-10-16
2009-10-22
[ "hep-th" ]
Avinash Khare (Institute of Physics, Bhubaneswar, India) and Rajat K. Bhaduri (Mcmaster Univ., Hamilton, Canada)
hep-th/9310105
Twist Points as Branch Points for the QCD$_2$ String
We show that the string representation of the QCD$_2$ partition function satisfies, by virtue of a Young-tableau-transposition symmetry, the topological constraint that any branched covering of an orientable or nonorientable surface without boundary must have an {\em even} branch point multiplicity. This statement hold...
1993-10-16
2009-10-22
[ "hep-th" ]
Stephen G. Naculich, Harold A. Riggs, and Howard J. Schnitzer
hep-th/9310097
q-Deformed Relativistic Wave Equations
Based on the representation theory of the $q$-deformed Lorentz and Poincar\'e symmeties $q$-deformed relativistic wave equation are constructed. The most important cases of the Dirac-, Proca-, Rarita-Schwinger- and Maxwell- equations are treated explicitly. The $q$-deformed wave operators look structurally like the und...
1993-10-15
2009-10-22
[ "hep-th" ]
Mathias Pillin (Max-Planck-Institut fuer Physik, Werner-Heisenberg-Institut, Foehringer Ring 6, D-80805 Muenchen, Germany)
hep-th/9310089
Level two irreducible representations of $U_q(\widehat{sl}_2)$, vertex operators, and their correlations
Vertex operators associated with level two $U_q(\widehat{sl}_2)$ modules are constructed explicitly using bosons and fermions. An integral formula is derived for the trace of products of vertex operators. These results are applied to give $n$-point spin correlation functions of an integrable $S=1$ quantum spin chain, e...
1993-10-15
2009-10-22
[ "hep-th", "cond-mat", "math.QA" ]
Makoto Idzumi
hep-th/9310099
Chern-Simons Soliton Dynamics in Modular Parameter Space
We study dynamics of non-relativistic Chern-Simons solitons, both in the absence and in the presence of external fields. We find that a phase, related to the $1$-cocyle of the Galileo group, must be included to give the correct dynamical behavior. We show that interactions among Chern-Simons solitons are mediated by an...
1993-10-15
2009-10-22
[ "hep-th" ]
Q. Liu
hep-th/9310094
Composite gauge field models with broken symmetries
We present a generalization of the non-Abelian version of the $CP^{N-1}$ models (also known as Grassmannian models) that involve composite gauge fields to accommodate partial breaking of the non-Abelian gauge symmetry. For this to be possible, in most cases, the constituent fields need to belong to an anomaly free comp...
1993-10-15
2010-01-06
[ "hep-th", "hep-ph" ]
B. S. Balakrishna and K. T. Mahanthappa
hep-th/9310092
New supersymetries for spinning particles and black holes
The usual extensions of supersymmetry require the existence of a complex structure and the formulation of the theory on K\"{a}hler manifolds. It is shown, that by relaxing the constraints on the algebra of supercharges we can get new supersymmetries whenever a manifold possesses a structure admitting the existence of a...
1993-10-15
2007-05-23
[ "hep-th" ]
J.W. van Holten
hep-th/9310093
Manifestations of Space-Time Multidimensionality in Scattering of Scalar Particles
We analyze a possibility of experimental detection of the contribution of the Kaluza-Klein tower of heavy particles to scattering cross-section in a six-dimensional scalar model with two dimensions being compactified to the torus with the radii $R$. It is shown that there is a noticeable effect even for the energies of...
1993-10-15
2016-08-14
[ "hep-th", "cond-mat" ]
A.P. Demichev, Yu.A. Kubyshin and J.I. P\'erez Cadenas
hep-th/9310090
The Stochastic Quantization Method in Phase Space and a New Gauge Fixing Procedure
We study the stochastic quantization of the system with first class constraints in phase space. Though the Langevin equations of the canonical variables are defined without ordinary gauge fixing procedure, gauge fixing conditions are automatically selected and introduced by imposing stochastic consistency conditions up...
1993-10-15
2015-06-26
[ "hep-th" ]
R. Mochizuki
hep-th/9310091
On a q-Deformation of the Discrete Painlev\'e I Equation and q-Orthogonal Polynomials
I present a $q$-analog of the discrete Painlev\'e I equation, and a special realization of it in terms of $q$-orthogonal polynomials.
1993-10-15
2009-10-22
[ "hep-th", "math.CA", "math.QA" ]
F. W. Nijhoff
hep-th/9310095
Exact Spectrum of SU(n) Spin Chain with Inverse-Square Exchange
The spectrum and partition function of a model consisting of SU(n) spins positioned at the equilibrium positions of a classical Calogero model and interacting through inverse-square exchange are derived. The energy levels are equidistant and have a high degree of degeneracy, with several SU(n) multiplets belonging to t...
1993-10-15
2009-10-22
[ "hep-th" ]
Alexios P. Polychronakos
hep-th/9310100
The Role of the Canonical Element in the Quantized Algebra of Differential Operators $\A\rtimes\U$
We review the construction of the cross product algebra $\A\rtimes\U$ from two dually paired Hopf algebras $\U$ and $\A$. The canonical element in $\U \otimes \A$ is then introduced, and its properties examined. We find that it is useful for giving coactions on $\A\rtimes\U$, and it allows the construction of objects w...
1993-10-15
2007-05-23
[ "hep-th" ]
Chryssomalis Chryssomalakos, Peter Schupp and Paul Watts
hep-th/9310098
Scaling Functions for Baby Universes in Two-Dimensional Quantum Gravity
We apply the recently proposed transfer matrix formalism to 2-dimensional quantum gravity coupled to $(2, 2k-1)$ minimal models. We find that the propagation of a parent universe in geodesic (Euclidean) time is accompanied by continual emission of baby universes and derive a distribution function describing their sizes...
1993-10-15
2009-10-22
[ "hep-th", "gr-qc" ]
Steven S. Gubser and Igor R. Klebanov
hep-th/9310080
Antifield Dependence of Anomalies
It is shown that generally the consistency equation for anomalies of quantum field theories has solutions which depend nontrivially on the sources of the (generalized) BRS-transformations of the fields. Explicit previously unknown examples of such solutions are given for Yang-Mills and super Yang-Mills theories.
1993-10-14
2009-10-22
[ "hep-th" ]
F. Brandt
hep-th/9310083
Representations of affine Lie algebras, parabolic differential equations, and Lame functions
We consider correlation functions for the Wess-Zumino-Witten model on the torus with the insertion of a Cartan element; mathematically this means that we consider the function of the form $F=\Tr (\Phi_1 (z_1)\ldots \Phi_n (z_n)q^{-\d}e^{h})$ where $\Phi_i$ are intertwiners between Verma modules and evaluation modules o...
1993-10-14
2016-09-06
[ "hep-th", "math.CA", "math.QA" ]
Pavel Etingof and Alexander Kirillov Jr
hep-th/9310079
Nonperturbative Ground State of the Stochastic Stabilization of 2D Quantum Gravity
I construct the ground state, up to first nonperturbative order, of the stochastic stabilization of the zero dimensional matrix model which defines 2D Quantum Gravity. It is given by the linear combination of a perturbative wave function and a nonperturbative one. The nonperturbative behaviour which arise from the stab...
1993-10-14
2009-10-22
[ "hep-th" ]
Oscar Diego
hep-th/9310077
Non-Critical String Models as Topological Coset models
The topological coset model appraoch to non-critical string models is summarized. The action of a topological twisted ${G\over H}$ coset model ($rank\ H = rank\ G$) is written down. A ``topological coset algebra" is derived and compared with the algebraic structure of the $N=2$ twisted models. The cohomology on a fre...
1993-10-14
2007-05-23
[ "hep-th" ]
J. Sonnenschein and S. Yankielowicz
hep-th/9310076
Hamiltonian Reduction and Topological Conformal Algebra in $c\leq 1$ Non-critical Strings
We study the hamiltonian reduction of affine Lie superalgebra $sl(2|1)^{(1)}$. Based on a scalar Lax operator formalism, we derive the free field realization of the classical topological topological algebra which appears in the $c\leq1$ non-critical strings. In the quantum case, we analyze the BRST cohomology to get th...
1993-10-14
2015-06-26
[ "hep-th" ]
Katsushi Ito and Hiroaki Kanno
hep-th/9310082
Integrable N = 2 Landau-Ginzburg Theories from Quotients of Fusion Rings
The discovery of integrable $N=2$ supersymmetric Landau-Ginzburg theories whose chiral rings are fusion rings suggests a close connection between fusion rings, the related Landau-Ginzburg superpotentials, and $N=2$ quantum integrability. We examine this connection by finding the natural $SO(N)_K$ analogue of the constr...
1993-10-14
2009-10-22
[ "hep-th" ]
Eli J. Mlawer, Harold A. Riggs, and Howard J. Schnitzer
hep-th/9310088
Loop Equation and Area Law in Turbulence
This is the extended version of the preprint \ct{Loop}, based on the lectures given in Cargese Summer School and Chernogolovka Summer School in 93. The incompressible fluid dynamics is reformulated as dynamics of closed loops $C$ in coordinate space. We derive explicit functional equation for the pdf of the circulation...
1993-10-14
2009-10-22
[ "hep-th" ]
Alexander A. Migdal
hep-th/9310081
SCHR\"Odinger Invariance and Strongly Anisotropic Critical Systems
The extension of strongly anisotropic or dynamical scaling to local scale invariance is investigated. For the special case of an anisotropy or dynamical exponent $\theta=z=2$, the group of local scale transformation considered is the Schr\"odinger group, which can be obtained as the non-relativistic limit of the confor...
1993-10-14
2009-10-22
[ "hep-th", "cond-mat", "hep-lat" ]
Malte Henkel
hep-th/9310078
Schur-Weyl Reciprocity for the Hecke Algebra of $(\Bbb Z/r\Bbb Z)\wr \frak S_n$
The purpose of this paper is to give a reciprocity between $U_q(h)$ and $\Cal H_{n,r}$, the Hecke algebra of $(\Bbb Z / r\Bbb Z)\wr \frak S_n$ introduced by Ariki and Koike. Let $K=\Bbb Q(q,u_1,\dots ,u_r)$ be the field of rational funcitons in variables $q,u_1,\dots ,u_r$. We adopt $K$ as the base field for both the q...
1993-10-14
2007-05-23
[ "hep-th" ]
Susumu Ariki, Tomohide Terasoma, and Hirofumi Yamada
hep-th/9310086
Effective Critical Exponents for Dimensional Ccrossover and Quantum Systems from an Environmentally Friendly Renormalization Group
Series for the Wilson functions of an ``environmentally friendly'' renormalization group are computed to two loops, for an $O(N)$ vector model, in terms of the ``floating coupling'', and resummed by the Pad\'e method to yield crossover exponents for finite size and quantum systems. The resulting effective exponents obe...
1993-10-14
2008-11-26
[ "hep-th" ]
Denjoe O'Connor and C. R. Stephens
hep-th/9310085
Temperature- and Curvature Dependence of the Chiral Symmetry Breaking in 2D Gauge Theories
The partition function and the order parameter for the chiral symmetry breaking are computed for a family of 2-dimensional interacting theories containing the gauged Thirring model. In particular we derive non-perturbative expressions for the dependence of the chiral condensate on the temperature and the curvature. Bot...
1993-10-14
2009-10-22
[ "hep-th" ]
I. Sachs and A. Wipf
hep-th/9310084
Liouville Quantum Mechanics on a Lattice Large from Geometry of Quantum Lorentz Group
We consider the quantum Lobachevsky space ${\bf L}_q^3$, which is defined as subalgebra of the Hopf algebra ${\cal A}_q(SL_2({\bf C}))$. The Iwasawa decomposition of ${\cal A}_q(SL_2({\bf C}))$ introduced by Podles and Woronowicz allows to consider the quantum analog of the horospheric coordinates on ${\bf L}_q^3$. The...
1993-10-14
2009-10-22
[ "hep-th" ]
M.A.Olshanetsky and V.-B.K.Rogov
hep-th/9310087
Solitons in topological field theories
We present a topological Lagrangian field theory that is geometrically similar to the Yang-Mills(-Higgs) Lagrangian, and study the Bogomol'nyi solitons contained within this theory. The topological field theory may provide an example of a dual field theory to Yang-Mills(-Higgs). The existence of a dual field theory to ...
1993-10-14
2007-05-23
[ "hep-th" ]
M. Temple-Raston
hep-th/9310070
Quantum Dilogarithm
A quantum generalization of Rogers' five term, or ``pentagon'' dilogarithm identity is suggested. It is shown that the classical limit gives usual Rogers' identity. The case where the quantum identity is realized in finite dimensional space is also considered and the quantum dilogarithm is constructed as a function on ...
1993-10-13
2009-10-22
[ "hep-th", "math.QA" ]
L. D. Faddeev, R. M. Kashaev
hep-th/9310069
Strings and Singularities
We review aspects of spacetime singularities from the view point of string theory. Examples considered include cosmological, cosmic string and black-hole singularities. We also discuss the consistency of viewing black-holes as excited states of fundamental strings (based on talk presented at Salamfest, March 1993, Trie...
1993-10-13
2007-05-23
[ "hep-th" ]
Cumrun Vafa
hep-th/9310071
Integrability of N = 3 super Yang-Mills equations
We describe the harmonic superspace formulation of the Witten-Manin supertwistor correspondence for N=3 extended super Yang-Mills theories. The essence is that on being sufficiently supersymmetrised (up to the N=3 extension), the Yang-Mills equations of motion can be recast in the form of Cauchy-Riemann-like holomorphi...
1993-10-13
2008-02-03
[ "hep-th", "nlin.SI", "solv-int" ]
Ch. Devchand and V. Ogievetsky
hep-th/9310075
Quantum Corrections in Collective Field Theory
We review and extend the computation of scattering amplitudes of tachyons in the $c=1$ matrix model using a manifestly finite prescription for the collective field hamiltonian. We give further arguments for the exactness of the cubic hamiltonian by demonstrating the equality of the loop corrections in the collective fi...
1993-10-13
2009-10-22
[ "hep-th" ]
E. Hsu and I. Klebanov
hep-th/9310068
Fundamentals of Poisson Lie Groups with Application to the Classical Double
We give a constructive account of the fundamental ingredients of Poisson Lie theory as the basis for a description of the classical double group $D$. The double of a group $G$ has a pointwise decomposition $D\sim G\times G^*$, where $G$ and $G^*$ are Lie subgroups generated by dual Lie algebras which form a Lie bialgeb...
1993-10-13
2008-02-03
[ "hep-th", "math.QA" ]
K. S. Ahluwalia
hep-th/9310073
Multi-String Solutions by Soliton Methods in De Sitter Spacetime
{\bf Exact} solutions of the string equations of motion and constraints are {\bf systematically} constructed in de Sitter spacetime using the dressing method of soliton theory. The string dynamics in de Sitter spacetime is integrable due to the associated linear system. We start from an exact string solution $q_{(0)}$ ...
1993-10-13
2009-10-22
[ "hep-th", "astro-ph" ]
F. Combes, H.J. de Vega, A. V. Mikhailov and N. S\'anchez
hep-th/9310072
The super self-dual matreoshka
In this talk we review the harmonic space formulation of the twistor transform for the supersymmetric self-dual Yang-Mills equations. The recently established harmonic-twistor correspondence for the N-extended supersymmetric gauge theories is described. It affords an explicit construction of solutions to these equation...
1993-10-13
2007-05-23
[ "hep-th" ]
Ch. Devchand and V. Ogievetsky
hep-th/9310067
Hidden symmetries, special geometry and quaternionic manifolds
The moduli space of the Calabi-Yau three-folds, which play a role as superstring ground states, exhibits the same {\em special geometry} that is known from nonlinear sigma models in $N=2$ supergravity theories. We discuss the symmetry structure of special real, complex and quaternionic spaces. Maps between these spaces...
1993-10-13
2010-11-01
[ "hep-th", "math.DG" ]
B. de Wit and A. Van Proeyen
hep-th/9310074
Path Integrals over Velocities in Quantum Mechanics
Representations of propagators by means of path integrals over velocities are discussed both in nonrelativistic and relativistic quantum mechanics. It is shown that all the propagators can only be expressed through bosonic path integrals over velocities of space-time coordinates. In the representations the integration ...
1993-10-13
2007-05-23
[ "hep-th" ]
D.M.Gitman and Sh.M. Shvartsman (Institute of Physics University of S\~ao Paulo, Brasil; Dept. of Physics, Case Western Reserve University, Cleveland, USA)
hep-th/9310064
Can gravity make the Higgs particle light?
The spontaneous symmetry breaking theory of gravity is examined, assuming that the vacuum expectation value of the standard model Higgs is also responsible for the generation of the Planck mass. In this model the physical Higgs couples only with gravitational strength to matter. At presently accessible energies the the...
1993-10-12
2007-05-23
[ "hep-th" ]
J. J. van der Bij
hep-th/9310065
Wigner distribution function for the harmonic oscillator with dissipation within the theory of open quantum systems
Time evolution of the expectation values of various dynamical operators of the harmonic oscillator with dissipation is analitically obtained within the framework of the Lindblad's theory for open quantum systems. We deduce the density matrix of the damped harmonic oscillator from the solution of the Fokker-Planck equat...
1993-10-12
2007-05-23
[ "hep-th" ]
Aurelian Isar
hep-th/9310066
Liouville Equation And Schottky Problem
An Ansatz for the Poincar\'e metric on compact Riemann surfaces is proposed. This implies that the Liouville equation reduces to an equation resembling a non chiral analogous of the higher genus relationships (KP equation) arising in the framework of Schottky's problem solution. This approach connects uniformization (F...
1993-10-12
2009-10-22
[ "hep-th", "alg-geom", "math.AG" ]
Marco Matone
hep-th/9310063
Quark, Gluon and Ghost Anomalous Dimensions at O(1/N_f) in Quantum Chromodynamics
By considering the scaling behaviour of various Feynman graphs at leading order in large $\Nf$ at the non-trivial fixed point of the $d$-dimensional $\beta$-function of QCD we deduce the critical exponents corresponding to the quark, gluon and ghost anomalous dimensions as well as the anomalous dimensions of the quark-...
1993-10-12
2009-10-22
[ "hep-th" ]
J.A. Gracey
hep-th/9310062
Superhamiltonian formalism for $2D$ $N=1,2$ theories
We show how to formulate $2$-dimensional supersymmetric $N=1,2$ theories, both massive and conformal, within a manifestly supersymmetric hamiltonian framework, via the introduction of a (super)-Poisson brackets structure defined on superfields. In this approach, as distinct from the previously known superfield hamilton...
1993-10-12
2015-06-26
[ "hep-th" ]
E. Ivanov and F. Toppan
hep-th/9310059
Dynamics of the Cosmological Constant in Two-Dimensional Universe
We consider a two-dimensional model of gravity with the cosmological constant as a dynamical variable. The effective cosmological constant is derived when the universe has no initial boundary. It turns out to be extremely small if the universe is sufficiently large.
1993-10-12
2017-02-01
[ "hep-th" ]
Izawa K.-I
hep-th/9310060
Functional Relations in Solvable Lattice Models II
Reported are two applications of the functional relations ($T$-system) among a commuting family of row-to-row transfer matrices proposed in the previous paper Part I. For a general simple Lie algebra $X_r$, we determine the correlation lengths of the associated massive vertex models in the anti-ferroelectric regime and...
1993-10-12
2015-06-26
[ "hep-th" ]
Atsuo Kuniba, Tomoki Nakanishi and Junji Suzuki
hep-th/9310061
A Krichever--Novikov Formulation of W--Algebras on Riemann Surfaces
It is shown how the theory of classical $W$--algebras can be formulated on a higher genus Riemann surface in the spirit of Krichever and Novikov. An intriguing relation between the theory of $A_1$ embeddings into simple Lie algebras and the holomorphic geometry of Riemann surfaces is exihibited.
1993-10-12
2014-11-18
[ "hep-th", "math.QA" ]
Roberto Zucchini
hep-th/9310058
Massless integrable quantum field theories and massless scattering in 1+1 dimensions
These lecture notes provide an elementary introduction to the study of massless integrable quantum field theory in 1+1 dimensions using ``massless scattering''. Some previously unpublished results are also presented, including a non-perturbative study of Virasoro conserved quantities.
1993-10-11
2007-05-23
[ "hep-th" ]
P. Fendley and H. Saleur
hep-th/9310056
Predictions on Two-dimensional Turbulence by Conformal Field Theory
A generalized theory of two-dimensional isotropic turbulence is developed based on conformal symmetry. A number of minimal models of conformal turbulence are solved under an extended constraint including both the enstrophy cascade by Kraichnan and the discontinuity of vorticity by Saffman. There are an infinite number ...
1993-10-11
2008-02-03
[ "hep-th" ]
H. Cateau, Y. Matsuo and M. Umeki
hep-th/9310057
Modular Theory and Symmetry in QFT
The application of the Tomita-Takesaki modular theory to the Haag-Kastler net approach in QFT yields external (space-time) symmetries as well as internal ones (internal ``gauge para-groups") and their dual counterparts (the ``super selection para-group"). An attempt is made to develop a (speculative) picture on ``quant...
1993-10-11
2008-02-03
[ "hep-th" ]
B. Schroer
hep-th/9310055
On the Schwinger Model on Riemann Surfaces
In this paper, the massless Schwinger model or two dimensional quantum electrodynamics is exactly solved on a Riemann surface. The partition function and the generating functional of the correlation functions involving the fermionic currents are explicitly derived using a method of quantization valid for any abelian ga...
1993-10-09
2011-08-11
[ "hep-th", "gr-qc" ]
Franco Ferrari
hep-th/9310052
Renormalization Group Approach to Interacting Crumpled Surfaces: The hierarchical recursion
We study the scaling limit of a model of a tethered crumpled D-dimensional random surface interacting through an exclusion condition with a fixed impurity in d-dimensional Euclidean space by the methods of Wilson's renormalization group. In this paper we consider a hierarchical version of the model and we prove rigorou...
1993-10-08
2009-10-22
[ "hep-th", "cond-mat", "hep-lat" ]
M. Cassandro and P. K. Mitter
hep-th/9310051
$DIFF(s^1)$, Teichm\"Uller Space and Period Matrices: Canonical Mappings via String Theory
There is a completely natural and intimate relationship between the diffeomorphism group of the circle and the Teichm\"uller spaces of Riemann surfaces discovered by us in 1988. Such a relationship had been sought-after by physicists from conjectures connecting the loop-space approach to string theory with the path-int...
1993-10-08
2007-05-23
[ "hep-th" ]
Subhashis Nag
hep-th/9310053
A generalization of the Jordan-Schwinger map: classical version and its q--deformation
For all three--dimensional Lie algebras the construction of generators in terms of functions on 4-dimensional real phase space is given with a realization of the Lie product in terms of Poisson brackets. This is the classical Jordan--Schwinger map which is also given for the deformed algebras ${\cal {SL}}_{q}(2,\R)$, $...
1993-10-08
2019-08-17
[ "hep-th" ]
V.I.Man'ko, G.Marmo, P. Vitale and F.Zaccaria
hep-th/9310054
Hilbert Spaces for Nonrelativistic and Relativistic "Free" Plektons (Particles with Braid Group Statistics)
Using the theory of fibre bundles, we provide several equivalent intrinsic descriptions for the Hilbert spaces of $n$ ``free'' nonrelativistic and relativistic plektons in two space dimensions. These spaces carry a ray representation of the Galilei group and a unitary representation of the Poincar\'{e} group respective...
1993-10-08
2008-02-03
[ "hep-th" ]
J. Mund and R. Schrader
hep-th/9310044
Quantisation of $O(N)$ invariant nonlinear sigma model in the Batalin-Tyutin formalism
We quantise the $O(N)$ nonlinear sigma model using the Batalin Tyutin (BT) approach of converting a second class system into first class. It is a {\it nontrivial} application of the BT method since the quantisation of this model by the conventional Dirac procedure suffers from operator ordering ambiguities. The first c...
1993-10-07
2009-10-22
[ "hep-th" ]
N. Banerjee, Subir Ghosh and R. Banerjee
hep-th/9310037
Gauging and symplectic blowing up in nonlinear sigma-models: I. point singularities
In this paper a two dimensional non-linear sigma model with a general symplectic manifold with isometry as target space is used to study symplectic blowing up of a point singularity on the zero level set of the moment map associated with a quasi-free Hamiltonian action. We discuss in general the relation between symple...
1993-10-07
2009-10-22
[ "hep-th" ]
H.B. Gao and H. R\"omer
hep-th/9310026
Symmetries of the Bosonic String S-Matrix
The bracket operation on mutually local BRST classes may be combined with Lorentz invariance and analyticity to write an infinite set of finite difference relations on string scattering amplitudes. When combined with some simple physical criteria these relations uniquely determine the genus zero string $S$-matrix for $...
1993-10-07
2008-02-03
[ "hep-th" ]
Gregory Moore
hep-th/9310036
Bose-Einstein condensation for a self-interacting theory in curved spacetime
The effective action is derived for a self-interacting theory with a finite fixed $O(2)$ charge at finite temperature in curved spacetime. We obtain the high temperature expansion of the effective action in the weak coupling limit. In the relativistic temperature, we discuss about the phase transition in a homogeneous ...
1993-10-07
2007-05-23
[ "hep-th" ]
Min-Ho Lee, Hyeong-Chan Kim, and Jae Kwan Kim
hep-th/9310042
Renormalizability of Effective Scalar Field Theory
We present a comprehensive discussion of the consistency of the effective quantum field theory of a single $Z_2$ symmetric scalar field. The theory is constructed from a bare Euclidean action which at a scale much greater than the particle's mass is constrained only by the most basic requirements; stability, finiteness...
1993-10-07
2009-10-22
[ "hep-th", "hep-ph" ]
R. D. Ball and R. S. Thorne
hep-th/9310050
Skyrmion-Skyrmion Scattering
We study the scattering of Skyrmions at low energy and large separation using the method proposed by Manton of truncation to a finite number of degree freedom. We calculate the induced metric on the manifold of the union of gradient flow curves, which for large separation, to first non-trivial order is parametrised by ...
1993-10-07
2007-05-23
[ "hep-th", "nucl-th" ]
T.Gisiger and M. B. Paranjape
hep-th/9310040
Coadjoint Orbits and Conformal Field Theory
This thesis describes a new approach to conformal field theory. This approach combines the method of coadjoint orbits with resolutions and chiral vertex operators to give a construction of the correlation functions of conformal field theories in terms of geometrically defined objects. Explicit formulae are given for re...
1993-10-07
2008-02-03
[ "hep-th" ]
Washington Taylor IV
hep-th/9310043
Batalin-Tyutin Quantisation of the $CP^{N-1}$ model
The $CP^{N-1}$ model is quantised in the generalised canonical formalism of Batalin and Tyutin by converting the original second class system into first class. Operator ordering ambiguities present in the conventional quantisation scheme of Dirac are thereby avoided. The first class constraints, the involutive Hamilton...
1993-10-07
2009-10-22
[ "hep-th" ]
N. Banerjee, Subir Ghosh, R. Banerjee
hep-th/9310045
Universal Teichm\"uller space in geometry and physics
Lipman Bers' universal Teichm\"uller space, classically denoted by $T(1)$, plays a significant role in Teichm\"uller theory, because all the Teichm\"uller spaces $T(G)$ of Fuchsian groups $G$ can be embedded into it as complex submanifolds. Recently, $T(1)$ has also become an object of intensive study in physics, becau...
1993-10-07
2009-10-22
[ "hep-th", "alg-geom", "math.AG" ]
Osmo Pekonen
hep-th/9310048
Massive Triadic Chern-Simons Spin-3 Theory
We introduce the massive gauge invariant, second order pure spin-3 theory in three dimensions. It consists of the addition of the second order gauge invariant massless pure spin-3 action with the first order topological(generalized) Chern-Simons spin-3 term corrected with lower spin auxiliary actions which avoid lower ...
1993-10-07
2007-05-23
[ "hep-th" ]
C. Aragone & A. Khoudeir
hep-th/9310047
An extension of Birkhoff's theorem to a class of 2-d gravity theories containing black holes
A class of 2-dimensional models including 2-d dilaton gravity, spherically symmetric reduction of d-dimensional Einstein gravity and other related theories are classically analyzed. The general analytic solutions in the absence of matter fields other than a U(1) gauge field are obtained under a new gauge choice and rec...
1993-10-07
2010-11-01
[ "hep-th" ]
Youngjai Kiem
hep-th/9310046
Interactions in the SL(2,R)/U(1) Black Hole Background
We calculate two- and three-point tachyon amplitudes of the SL(2,R)/U(1) two-dimensional Euclidean black hole for spherical topologies in the continuum approach proposed by Bershadsky and Kutasov. We find an interesting relation to the tachyon scattering amplitudes of standard non-critical string theory.
1993-10-07
2009-10-22
[ "hep-th" ]
K. Becker and M. Becker