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hep-th/9403126
Equivariance, BRST and Superspace
The structure of equivariant cohomology in non-abelian localization formulas and topological field theories is discussed. Equivariance is formulated in terms of a nilpotent BRST symmetry, and another nilpotent operator which restricts the BRST cohomology onto the equivariant, or basic sector. A superfield formulation i...
1994-03-21
2009-10-28
[ "hep-th" ]
Antti J. Niemi and O. Tirkkonen
hep-th/9403119
Chern-Simons-Witten Theory as a Topological Fermi Liquid
We reinterpret U(N) Chern-Simons-Witten theory quantized on a torus as a free fermion system. Its Hilbert space and some observables are simply related to those of group quantum mechanics, even at finite N and k. Its large N limit can be described using techniques developed for matrix quantum mechanics and two-dimensio...
1994-03-21
2009-09-25
[ "hep-th" ]
Michael R. Douglas
hep-th/9403114
Coherent States for Quantum Compact Groups
Coherent states are introduced and their properties are discussed for all simple quantum compact groups. The multiplicative form of the canonical element for the quantum double is used to introduce the holomorphic coordinates on a general quantum dressing orbit and interpret the coherent state as a holomorphic function...
1994-03-19
2010-11-01
[ "hep-th", "math.QA" ]
B. Jurco, P. Stovicek
hep-th/9403117
Universalty and Ultraviolet Regularizations of Chern-Simons Theory
The universality of radiative corrections to the gauge coupling constant $k$ of Chern-Simons theory is studied in a very general regularization scheme. We show that the effective coupling constant $k$ induced by radiative corrections depends crucially on the balance between the ultraviolet behavior of scalar and pseudo...
1994-03-19
2009-10-28
[ "hep-th" ]
M. Asorey, F. Falceto, J.L. Lopez and G. Luzon
hep-th/9403113
Duality of Lorentzian and Euclidean black holes in two-dimensional string-generated models
We discuss the properties of lorentzian and euclidean black hole solutions of a generalized 2-dim dilaton-gravity action containing a modulus field, which arises from the compactification of heterotic string models. The duality symmetries of these solutions are also investigated.
1994-03-19
2010-11-01
[ "hep-th" ]
M. Cadoni and S. Mignemi
hep-th/9403116
Renormalization Ambiguities in Chern-Simons Theory
We introduce a new family of gauge invariant regularizations of Chern-Simons theories which generate one-loop renormalizations of the coupling constant of the form $k\to k+2 s c_v$ where $s$ can take any arbitrary integer value. In the particular case $s=0$ we get an explicit example of a gauge invariant regularization...
1994-03-19
2009-10-28
[ "hep-th" ]
M. Asorey, F. Falceto, J.L. Lopez and G. Luzon
hep-th/9403115
Higher Order Action for the Interaction of the String with the Dilaton
The theory of the string in interaction with a dilaton background field is analyzed. In the action considered, the metric in the world sheet of the string is the induced metric, and the theory presents second order time derivatives. The canonical formalism is developed and it is showed that first and second class const...
1994-03-19
2009-10-28
[ "hep-th" ]
M. A. Lledo and A. Resturccia
hep-th/9403110
On Automorphisms and Universal R-Matrices at Roots of Unity
Invertible universal R-matrices of quantum Lie algebras do not exist at roots of unity. There exist however quotients for which intertwiners of tensor products of representations always exist, i.e. R-matrices exist in the representations. One of these quotients, which is finite dimensional, has a universal R-matrix. In...
1994-03-18
2009-10-28
[ "hep-th", "math.QA" ]
Daniel Arnaudon
hep-th/9403103
Polyakov's Spin Factor for a Classical Spinning Particle via BRST Invariant Path Integral
For the `classical' formulation of a massive spinning particle, the propagator is obtained along with the spin factor. We treat the system with two kinds of constraints that were recently shown to be concerned with the reparametrization invariance and `quasi-supersymmetry'. In the path integral, the BRST invariant Lagr...
1994-03-18
2009-10-28
[ "hep-th" ]
Jin-Ho Cho, Seungjoon Hyun and Hyuk-Jae Lee
hep-th/9403106
Instantons in Large Order of the Perturbative Series
Behavior of the Euclidean path integral at large orders of the perturbation series is studied. When the model allows tunneling, the path-integral functional in the zero instanton sector is known to be dominated by bounce-like configurations at large order of the perturbative series, which causes non-convergence of the ...
1994-03-18
2010-11-01
[ "hep-th" ]
Hideaki Aoyama
hep-th/9403105
Quasitriangularity of quantum groups at roots of 1
An important property of a Hopf algebra is its quasitriangularity and it is useful various applications. This property is investigated for quantum groups $sl_2$ at roots of 1. It is shown that different forms of the quantum group $sl_2$ at roots of 1 are either quasitriangular or have similar structure which will be ca...
1994-03-18
2009-10-28
[ "hep-th", "math.QA" ]
Nicolai Reshetikhin
hep-th/9403111
Renormalization Group and Universality
It is argued that universality is severely limited for models with multiple fixed points. As a demonstration the renormalization group equations are presented for the potential and the wave function renormalization constants in the $O(N)$ scalar field theory. Our equations are superior compared with the usual approach ...
1994-03-18
2009-10-28
[ "hep-th" ]
Sen-Ben Liao and Janos Polonyi
hep-th/9403107
Completeness of Bethe's states for generalized $XXZ$ model
We study the Bethe ansatz equations for a generalized $XXZ$ model on a one-dimensional lattice. Assuming the string conjecture we propose an integer version for vacancy numbers and prove a combinatorial completeness of Bethe's states for a generalized $XXZ$ model. We find an exact form for inverse matrix related with v...
1994-03-18
2008-11-26
[ "hep-th" ]
Anatol N. Kirillov and Nadejda A. Liskova
hep-th/9403108
Geometric and Renormalized Entropy in Conformal Field Theory
In statistical physics, useful notions of entropy are defined with respect to some coarse graining procedure over a microscopic model. Here we consider some special problems that arise when the microscopic model is taken to be relativistic quantum field theory. These problems are associated with the existence of an inf...
1994-03-18
2009-10-28
[ "hep-th", "gr-qc" ]
C. Holzhey, F. Larsen and F. Wilczek
hep-th/9403109
Supercoherent States, Super K\"ahler Geometry and Geometric Quantization
Generalized coherent states provide a means of connecting square integrable representations of a semi-simple Lie group with the symplectic geometry of some of its homogeneous spaces. In the first part of the present work this point of view is extended to the supersymmetric context, through the study of the OSp(2/2) coh...
1994-03-18
2015-06-26
[ "hep-th", "alg-geom", "math.AG" ]
Amine M. El Gradechi and Luis M. Nieto
hep-th/9403112
On the support of the Ashtekar-Lewandowski measure
We show that the Ashtekar-Isham extension of the classical configuration space of Yang-Mills theories (i.e. the moduli space of connections) is (topologically and measure-theoretically) the projective limit of a family of finite dimensional spaces associated with arbitrary finite lattices. These results are then used t...
1994-03-18
2009-10-28
[ "hep-th", "gr-qc" ]
Donald Marolf and Jose M. Mourao
hep-th/9403104
Perturbative Analysis of Nonabelian Aharonov-Bohm Scattering
We perform a perturbative analysis of the nonabelian Aharonov-Bohm problem to one loop in a field theoretic framework, and show the necessity of contact interactions for renormalizability of perturbation theory. Moreover at critical values of the contact interaction strength the theory is finite and preserves classical...
1994-03-18
2009-10-28
[ "hep-th" ]
Dongsu Bak and Oren Bergman
hep-th/9403102
Asymptotic Solutions to the Knizhnik-Zamolodchikov Equation and Crystal Base
The Knizhnik-Zamolodchikov equation associated with $s\ell_2$ is considered. The transition functions between asymptotic solutions to the Knizhnik-Zamolodchikov equation are described. A connection between asymptotic solutions and the crystal base in the tensor product of modules over the quantum group $U_qs\ell_2$ is ...
1994-03-17
2009-10-28
[ "hep-th" ]
A.Varchenko
hep-th/9403100
On representations of super coalgebras
The general structure of the representation theory of a $Z_2$-graded coalgebra is discussed. The result contains the structure of Fourier analysis on compact supergroups and quantisations thereof as a special case. The general linear supergroups serve as an explicit illustration and the simplest example is carried out ...
1994-03-17
2009-10-28
[ "hep-th" ]
A. H\"uffmann
hep-th/9403095
Recoil Correction in the Dirac-Coulomb Problem
The expression for the first recoil correction to the Dirac-Coulomb spectrum is obtained employing the gauge invariance.
1994-03-17
2008-02-03
[ "hep-th", "hep-ph" ]
A.S. Yelkhovsky
hep-th/9403097
The Gauged WZNW Model Perturbed by the Sigma Model Term
We discuss special perturbations of the gauged level $k$ WZNW model inspired by the $\sigma$-model perturbation of the nonunitary WZNW model. In the large $k$ limit there is a second conformal point in the vicinity of the ultarviolet fixed point. At the second critical point the conformal model has a rational Virasoro ...
1994-03-17
2008-02-03
[ "hep-th" ]
O. A. Soloviev
hep-th/9403101
The zero-curvature representation for nonlinear O(3) sigma-model
We consider O(3) sigma-model as a reduction of the principal chiral field. This approach allows to introduce the currents with ultralocal Poisson brackets and to obtain the zero-curvature equation which admits the fundamental Poisson bracket.
1994-03-17
2007-05-23
[ "hep-th" ]
A.G.Bytsko
hep-th/9403096
Lectures on Mirror Symmetry
We give an introduction to mirror symmetry of strings on Calabi-Yau manifolds with an emphasis on its applications e.g. for the computation of Yukawa couplings. We introduce all necessary concepts and tools such as the basics of toric geometry, resolution of singularities, construction of mirror pairs, Picard-Fuchs equ...
1994-03-17
2009-10-28
[ "hep-th" ]
S. Hosono, A. Klemm and S. Theisen
hep-th/9403099
Principal Chiral Field at Large N
We present the exact and explicit solution of the principal chiral field in two dimensions for an infinitely large rank group manifold. The energy of the ground state is explicitly found for the external Noether's fields of an arbitrary magnitude. The exact Gell-Mann - Low function exhibits the asymptotic freedom behav...
1994-03-17
2009-10-28
[ "hep-th" ]
V.A.Fateev, V.A.Kazakov and P.B.Wiegmann
hep-th/9403098
Large Improved Wick Rotation Prescription in Stochastic Quantization of Dissipative Systems
We apply Stochastic Quantization Method to dissipative systems at finite temperature. Especially, the relation of SQM to the Caldeira-Leggett model is clarified ensuring that the naive Wick rotation is improved in this context. We show that the Langevin system obtained by the \lq\lq Improved Wick Rotation " prescriptio...
1994-03-17
2007-05-23
[ "hep-th" ]
Naohito Nakazawa and Eisaku Sakane
hep-th/9403094
An elliptic quantum algebra for $\widehat{sl}_2$
An elliptic deformation of $\widehat{sl}_2$ is proposed. Our presentation of the algebra is based on the relation $RLL=LLR^*$, where $R$ and $R^*$ are eight-vertex $R$-matrices with the elliptic moduli chosen differently. In the trigonometric limit, this algebra reduces to a quotient of that proposed by Reshetikhin and...
1994-03-17
2009-10-28
[ "hep-th", "math.QA" ]
Omar Foda, K. Iohara, M. Jimbo, R. Kedem, T. Miwa and H. Yan
hep-th/9403086
A Universal w String Theory
It has been shown that there is a sequential embedding structure in a $w_N$\ string theory based on a linearized $W_N$\ algebra. The $w_N$\ string theory is obtained as a special realization of the $w_{N+1}$\ string. The $w_{\infty}$\ string theory is a universal string theory in this sense. We have also shown that the...
1994-03-16
2009-10-28
[ "hep-th" ]
Hiroshi Kunitomo, Makoto Sakaguchi and Akira Tokura
hep-th/9403090
Diffeomorphisms of Curved Manifolds
We obtain an expression for the curvature of the Lie group SDiff$\cal M$ and use it to derive Lukatskii's formula for the case where $\cal M$ is locally Euclidean. We discuss qualitatively some previous findings for SDiff$S^{2}$ in conjunction with our result.
1994-03-16
2008-02-03
[ "hep-th", "math.DG" ]
J. S. Apps
hep-th/9403093
Braided Hopf Algebras and Differential Calculus
We show that the algebra of the bicovariant differential calculus on a quantum group can be understood as a projection of the cross product between a braided Hopf algebra and the quantum double of the quantum group. The resulting super-Hopf algebra can be reproduced by extending the exterior derivative to tensor produc...
1994-03-16
2009-10-28
[ "hep-th", "math.QA" ]
M. Schlieker and Bruno Zumino
hep-th/9403091
Path Integral Quantization of Cosmological Perturbations
We derive the first order canonical formulation of cosmological perturbation theory in a Universe filled by a few scalar fields. This theory is quantized via well-defined Hamiltonian path integral. The propagator which describes the evolution of the initial (for instance, vacuum) state, is calculated.
1994-03-16
2009-10-28
[ "hep-th" ]
S. Anderegg and V. Mukhanov
hep-th/9403088
Orbifold Constructions and the Classification of Self-Dual c=24 Conformal Field Theories
We discuss questions arising from the work of Schellekens. After introducing the concept of complementary representations, we examine $Z_2$-orbifold constructions in general, and propose a technique for identifying the orbifold theory without knowledge of its explicit construction. This technique is then generalised to...
1994-03-16
2009-10-28
[ "hep-th" ]
P.Montague
hep-th/9403092
Unitarity of The Realization of Conformal Symmetry in The Quantum Hall Effect
We study the realization of conformal symmetry in the QHE as part of the $W_\infty$ algebra. Conformal symmetry can be realized already at the classical level and implies the complexification of coordinate space. Its quantum version is not unitary. Nevertheless, it can be rendered unitary by a suitable modification of ...
1994-03-16
2008-11-26
[ "hep-th", "cond-mat" ]
Jose Gaite
hep-th/9403084
The connection between statistical mechanics and quantum field theory
A four part series of lectures on the connection of statistical mechanics and quantum field theory. The general principles relating statistical mechanics and the path integral formulation of quantum field theory are presented in the first lecture. These principles are then illustrated in lecture 2 by a presentation of ...
1994-03-16
2009-09-25
[ "hep-th", "cond-mat" ]
Barry M. McCoy
hep-th/9403087
Cosmological Surrealism: More than ``Eternal Reality" is Needed
Inflationary Cosmology makes the universe ``eternal" and provides for recurrent universe creation, ad infinitum -- making it also plausible to assume that ``our" Big Bang was also preceeded by others, etc.. However, GR tells us that in the ``parent" universe's reference frame, the newborn universe's expansion will neve...
1994-03-16
2008-11-26
[ "hep-th" ]
Yuval Ne'eman
hep-th/9403089
Critical behavior in $c=1$ matrix model with branching interactions
Motivated by understanding the phase structure of $d >1$ strings we investigate the $c=1$ matrix model with $g' (\tr M(t)^{2})^{2}$ interaction which is the simplest approximation of the model expected to describe the critical phenomena of the large-$N$ reduced model of odd-dimensional matrix field theory. We find thre...
1994-03-16
2009-10-28
[ "hep-th" ]
Fumihiko Sugino and Osamu Tsuchiya
hep-th/9403081
On bosonization of 2d conformal field theories
We show how bosonic (free field) representations for so-called degenerate conformal theories are built by singular vectors in Verma modules. Based on this construction, general expressions of conformal blocks are proposed. As an example we describe new modules for the $SL(2)$ Wess-Zumino -Witten model. They are, in fac...
1994-03-15
2011-04-20
[ "hep-th" ]
Oleg Andreev and Boris Feigin
hep-th/9403077
Hilbert - Einstein Action from Induced Gravity coupled with Scalar Field
Quantum theory of conformal factor coupled with matter fields is investigated. The more simple case of the purely classical scalar matter is considered. It is calculated the conformal factor contribution to the effective potential of scalar field. Then the possibility of the first order phase transition is explored and...
1994-03-15
2009-10-28
[ "hep-th", "cond-mat" ]
I.L.Shapiro
hep-th/9403078
Strong Coupling Phase of Chiral Gross Neveu Model
We perform the numerical simulation of the two dimensional chiral Gross Neveu model using the Kogut-Susskind(KS) fermion. In the case of SU(4), the Kosterlitz-Thouless phase transition happens at some critical value of the coupling constant. In the case of one flavour, there exists the strong coupling phase in which th...
1994-03-15
2009-09-25
[ "hep-th" ]
Hiroshi Nohara
hep-th/9403085
Topological Electropoles in 4+1 Dimensional EYMCS Theory
A class of explicit exact solutions of Einstein Yang Mills Chern Simons (EYMCS) theory corresponding to topological solitons carrying non-Abelian topological electric charge is obtained. This verifies a conjecture made in Ref.[1,2] regarding the stabilization of the corresponding charged configurations in the theory wi...
1994-03-15
2010-11-01
[ "hep-th" ]
C.S.Aulakh and V.Soni
hep-th/9403080
KdV type hierarchies, the string equation and $W_{1+\infty}$ constraints
To every partition $n=n_1+n_2+\cdots+n_s$ one can associate a vertex operator realization of the Lie algebras $a_{\infty}$ and $\hat{gl}_n$. Using this construction we make reductions of the $s$--component KP hierarchy, reductions which are related to these partitions. In this way we obtain matrix KdV type equations. N...
1994-03-15
2009-10-28
[ "hep-th" ]
Johan van de Leur
hep-th/9403082
Symmetry Properties of the Effective Action for High-Energy Scattering in QCD
We study the effective action describing high-energy scattering processes in the multi-Regge limit of QCD, which should provide the starting point for a new attempt to overcome the limitations of the leading logarithmic and the eikonal approximations. The action can be obtained via simple graphical rules or by integrat...
1994-03-15
2009-10-28
[ "hep-th" ]
R. Kirschner, L. N. Lipatov and L. Szymanowski
hep-th/9403083
Towards a Generalized Distribution Formalism for Gauge Quantum Fields
We prove that the distributions defined on the Gelfand-Shilov spaces, and hence more singular than hyperfunctions, retain the angular localizability property. Specifically, they have uniquely determined support cones. This result enables one to develop a distribution-theoretic techniques suitable for the consistent tre...
1994-03-15
2010-11-01
[ "hep-th" ]
M.A.Soloviev
hep-th/9403079
The Higgs model for anyons and Liouville action: Chaotic spectrum, energy gap and exclusion principle
Geodesic completness and self-adjointness imply that the Hamiltonian for anyons is the Laplacian with respect to the Weil-Petersson metric. This metric is complete on the Deligne-Mumford compactification of moduli (configuration) space. The structure of this compactification fixes the possible anyon configurations. Thi...
1994-03-15
2015-06-26
[ "hep-th", "cond-mat" ]
M. Matone
hep-th/9403076
Thomas Precession, Berry potential and the Meron
We begin with a prior observation by one of us that Thomas precession in the nonrelativistic limit of the Dirac equation may be attributed to a nonabelian Berry vector potential. We ask what object produces the nonabelian potential in parameter space, in the same sense that the abelian vector potential arising in the a...
1994-03-14
2009-10-28
[ "hep-th", "cond-mat" ]
R.Shankar, H.Mathur
hep-th/9403073
Fermionic counting of RSOS-states and Virasoro character formulas for the unitary minimal series M(\nu,\nu+1). Exact results
The Hilbert space of an RSOS-model, introduced by Andrews, Baxter, and Forrester, can be viewed as a space of sequences (paths) {a_0,a_1,...,a_L}, with a_j-integers restricted by 1<=a_j<=\nu, |a_j-a_{j+1}|=1, a_0=s, a_L=r. In this paper we introduce different basis which, as shown here, has the same dimension as that o...
1994-03-14
2010-11-01
[ "hep-th" ]
A. Berkovich
hep-th/9403074
Axial anomalies in gauge theory by exact renormalization group method
The global chiral symmetry of a $SU(2)$ gauge theory is studied in the framework of renormalization group (RG). The theory is defined by the RG flow equations in the infrared cutoff $\L$ and the boundary conditions for the relevant couplings. The physical theory is obtained at $\L=0$. In our approach the symmetry is im...
1994-03-14
2009-10-28
[ "hep-th", "hep-ph" ]
M. Bonini, M. D'Attanasio and G. Marchesini
hep-th/9403075
Singular Vectors of ${\cal W}$ Algebras via DS Reduction of $A_2^(1)$
The BRST quantisation of the Drinfeld - Sokolov reduction applied to the case of $A^{(1)}_2\,$ is explored to construct in an unified and systematic way the general singular vectors in ${\cal W}_3$ and ${\cal W}_3^{(2)}$ Verma modules. The construction relies on the use of proper quantum analogues of the classical DS g...
1994-03-14
2009-10-28
[ "hep-th" ]
P. Furlan, A.Ch. Ganchev and V.B. Petkova
hep-th/9403072
H-Monopoles, SL(2,Z) Duality and K3 Surfaces
Paper is withdrawn and superseded by EFI-94-36 which will appear shortly with the new hep-th number hep-th/9407111 .
1994-03-13
2008-02-03
[ "hep-th" ]
J. P Gauntlett and J. A. Harvey
hep-th/9403071
N=2 Supersymmetry in Exterior Form
An $N=2$ supersymmetric model using K\"{a}hler fields is proposed. It is a modified version of two-dimensional Benn-Tucker model. It indicates a geometrical origin of $N=2$ supersymmetry.
1994-03-12
2007-05-23
[ "hep-th" ]
Masato Shimono
hep-th/9403068
Infinite Dimensional Geometry and Quantum Field Theory of Strings. I. Infinite Dimensional Geometry of Second Quantized Free String
There are investigated several objects of an INFINITE DIMENSIONAL GEOMETRY appearing from the second quantization of a free string. The paper contains 2 chapters: 1st is devoted to the infinite dimensional geometry of flag, fundamental and $\Pi$-spaces for Virasoro-Bott group and its nonassociative deformation defined ...
1994-03-11
2008-02-03
[ "hep-th", "alg-geom", "funct-an", "math.AG", "math.FA" ]
Denis Juriev
hep-th/9403067
Finite Quantum Physics and Noncommutative Geometry
Conventional discrete approximations of a manifold do not preserve its nontrivial topological features. In this article we describe an approximation scheme due to Sorkin which reproduces physically important aspects of manifold topology with striking fidelity. The approximating topological spaces in this scheme are par...
1994-03-11
2009-10-28
[ "hep-th", "funct-an", "gr-qc", "hep-lat", "math.FA" ]
A.P. Balachandran, G. Bimonte, E. Ercolessi, G. Landi, F. Lizzi, G. Sparano and P.Teotonio-Sobrinho
hep-th/9403070
Co-Variant Derivatives And The Renormalisation Group
The renormalisation group equation for $N$-point correlation functions can be interpreted in a geometrical manner as an equation for Lie transport of amplitudes in the space of couplings. The vector field generating the diffeomorphism has components given by the $\beta$-functions of the theory. It is argued that this s...
1994-03-11
2015-06-26
[ "hep-th", "cond-mat" ]
Brian Dolan
hep-th/9403063
Gauge fixing in higher derivative field theories
Higher Derivative (HD) Field Theories can be transformed into second order equivalent theories with a direct particle interpretation. In a simple model involving abelian gauge symmetries we examine the fate of the possible gauge fixings throughout this process. This example is a useful test bed for HD theories of gravi...
1994-03-10
2009-10-28
[ "hep-th" ]
A.Bartoli and J.Julve
hep-th/9403066
Combinatorial quantization of the Hamiltonian Chern-Simons theory I
Motivated by a recent paper of Fock and Rosly \cite{FoRo} we describe a mathematically precise quantization of the Hamiltonian Chern-Simons theory. We introduce the Chern-Simons theory on the lattice which is expected to reproduce the results of the continuous theory exactly. The lattice model enjoys the symmetry with ...
1994-03-10
2009-10-28
[ "hep-th", "math.QA" ]
A. Yu. Alekseev, H. Grosse, V. Schomerus
hep-th/9403065
Symmetry Under $\alpha \rightarrow \alpha + 1$ is Forbidden by Helicity Conservation
The question as to whether helicity conservation in spin one-half Aharonov Bohm scattering is sufficient in itself to determine uniquely the form of the spinor wave function near the origin is examined. Although it is found that a one parameter family of solutions is compatible with this conservation law, there must no...
1994-03-10
2007-05-23
[ "hep-th" ]
C. R. Hagen
hep-th/9403064
Center of a quantum affine algebra at the critical level
We construct central elements in a completion of the quantum affine algebra at the critical level c=-g from the universal R-matrix (g being the dual Coxeter number of the corresponding simple Lie algebra), using the method of Reshetikhin and Semenov-Tian-Shansky. This construction defines an action of the Grothendieck ...
1994-03-10
2008-02-03
[ "hep-th", "math.QA" ]
Jintai Ding and Pavel Etingof
hep-th/9403062
One-loop effective potential in 2D dilaton gravity on hyperbolic plane
The one-loop effective potential in $2D$ dilaton gravity in conformal gauge on the topologically non-trivial plane $\reals \times S^1$ and on the hyperbolic plane $H^2/\Gamma$ is calculated. For arbitrary choice of the tree scalar potential it is shown, that the one-loop effective potential explicitly depends on the re...
1994-03-10
2009-09-17
[ "hep-th" ]
Klaus Kirsten, Sergei Odintsov
hep-th/9403061
Covariant Phase Space Formulations of Superparticles and Supersymmetric WZW Models
We present new covariant phase space formulations of superparticles moving on a group manifold, deriving the fundamental Poisson brackets and current algebras. We show how these formulations naturally generalise to the supersymmetric Wess-Zumino-Witten models.
1994-03-10
2015-06-26
[ "hep-th" ]
G. Au and B. Spence
hep-th/9403056
Nonrelativistic Chern-Simons theory for the Repulsive Bose Gas
We propose a new nonrelativistic Chern-Simons theory based on a simple modification of the standard Lagrangian. This admits asymptotically nonvanishing field configurations and is applicable to the description of systems of repulsive bosons. The new model supports topological vortices and has a self-dual limit, both in...
1994-03-09
2009-10-28
[ "hep-th", "cond-mat" ]
Igor V. Barashenkov (University of Cape Town), Alexander O. Harin (University of Natal)
hep-th/9403060
The Graceful Exit Problem in String Cosmology
Isotropic string cosmology solutions can be classified into two duality related branches: one can be connected smoothly to an expanding Friedman-Robertson-Walker Universe, the other describes accelerated inflation or contraction. We show that, if the dilaton potential has certain generic properties, the two branches ca...
1994-03-09
2009-10-28
[ "hep-th", "astro-ph" ]
R. Brustein and G. Veneziano
hep-th/9403057
Quantized Topological 2-form Gravity
We develop a perturbation theory of four-dimensional topological 2-form gravity without cosmological constant. A 2-form and an $SU(2)$ connection 1-form are used as fundamental variables instead of metric. There is no quantum correction from two-loop and higher orders in covariant gauge, in Landau gauge and in back...
1994-03-09
2007-05-23
[ "hep-th" ]
Tomoyuki Inui, Akika Nakamichi
hep-th/9403058
Chaotic Coupling Constants
We examine some novel physical consequences of the general structure of moduli spaces of string vacua. These include (1) finiteness of the volume of the moduli space and (2) chaotic motion of the moduli in the early universe. To fix ideas we examine in detail the example of the (conjectural) dilaton-axion ``$S$-duality...
1994-03-09
2009-10-28
[ "hep-th" ]
James H. Horne and Gregory Moore
hep-th/9403059
The Stable Representation of the algebra of functions on the quantum group $SU_{q}(2)$
An operation of a coproduct of representations of a bialgebra is defined. The coproduct operation for representations of the Hopf algebra of functions on the quantum group $SU_{q}(2)$ is investigated. A notion of a stable representation $\Pi$ is introdused. This means that the representation $\Pi$ is invariant under co...
1994-03-09
2007-05-23
[ "hep-th" ]
S.V.Kozyrev
hep-th/9403069
Quantisation of second class systems in the Batalin-Tyutin formalism
We review the Batalin-Tyutin approach of quantising second class systems which consists in enlarging the phase space to convert such systems into first class. The quantisation of first class systems, it may be mentioned, is already well founded. We show how the usual analysis of Batalin-Tyutin may be generalised, parti...
1994-03-09
2015-06-26
[ "hep-th" ]
N. Banerjee, R. Banerjee and S. Ghosh
hep-th/9403048
Field Redefinitions in String Theory as a Solution Generating Technique
The purpose of this work is to show that there exists an additional invariance of the $\beta$-function equations of string theory on $d+1$-dimensional targets with $d$ toroidal isometries. It corresponds to a shift of the dilaton field and a scaling of the lapse function, and is reminiscent of string field redefinition...
1994-03-08
2008-11-26
[ "hep-th", "gr-qc" ]
Nemanja Kaloper
hep-th/9403050
String Field Theory of Two Dimensional QCD: A Realization of W-infinity Algebra
We consider the formulation of two dimensional QCD in terms of gauge invariant bilocal operators (string field) which satisfy a $W_\infty$ algebra. In analogy with our work on the $c=1$ string field theory we derive an action and associated constraints for the bilocal field using the method of coadjoint orbits. The $1/...
1994-03-08
2009-10-28
[ "hep-th" ]
Avinash Dhar, Gautam Mandal and Spenta R. Wadia
hep-th/9403054
Global U(1) R-Symmetry And Conformal Invariance Of (0,2) Models
We derive a condition under which (0,2) linear sigma models possess a ``left-moving'' conformal stress tensor in $\bq$ cohomology (i.e. which leaves invariant the ``right-moving'' ground states) even away from their critical points. At the classical level this enforces quasihomogeneity of the superpotential terms. The ...
1994-03-08
2010-04-07
[ "hep-th" ]
Eva Silverstein and Edward Witten
hep-th/9403053
On Universal Vassiliev Invariants
Using properties of ordered exponentials and the definition of the Drinfeld associator as a monodromy operator for the Knizhnik-Zamolodchikov equations, we prove that the analytic and the combinatorial definitions of the universal Vassiliev invariants of links are equivalent.
1994-03-08
2009-10-28
[ "hep-th", "math.QA" ]
Daniel Altschuler and Laurent Freidel
hep-th/9403052
A time-discretized version of the Calogero-Moser model
We introduce an integrable time-discretized version of the classical Calogero-Moser model, which goes to the original model in a continuum limit. This discrete model is obtained from pole solutions of a discretized version of the Kadomtsev-Petviashvili equation, leading to a finite-dimensional symplectic mapping. Lax p...
1994-03-08
2009-10-28
[ "hep-th", "cond-mat", "nlin.SI", "solv-int" ]
Frank W. Nijhoff and Gen-Di Pang (Universitaet-GH Paderborn)
hep-th/9403049
Statistical Models with a Line of Defect
The factorization condition for the scattering amplitudes of an integrable model with a line of defect gives rise to a set of Reflection-Transmission equations. The solutions of these equations in the case of diagonal $S$-matrix in the bulk are only those with $S =\pm 1$. The choice $S=-1$ corresponds to the Ising mode...
1994-03-08
2009-10-28
[ "hep-th", "cond-mat" ]
G. Delfino, G. Mussardo and P. Simonetti
hep-th/9403051
Algebraic Structures of Quantum Projective Field Theory Related to Fusion and Braiding. Hidden Additive Weight
The interaction of various algebraic structures describing fusion, braiding and group symmetries in quantum projective field theory is an object of an investigation in the paper. Structures of projective Zamolodchikov al- gebras, their represntations, spherical correlation functions, correlation characters and envelopp...
1994-03-08
2009-10-28
[ "hep-th" ]
D.Juriev (D.V.Yur'ev)
hep-th/9403055
Operads, homotopy algebra and iterated integrals for double loop spaces
This paper provides some background to the theory of operads, used in the first author's papers on 2d topological field theory (hep-th/921204, CMP 159 (1994), 265-285; hep-th/9305013). It is intended for specialists.
1994-03-08
2008-02-03
[ "hep-th", "math.QA" ]
Ezra Getzler and J. D. S. Jones
hep-th/9403042
q-oscillators, (non-)Kaehler manifolds and constrained dynamics
It is shown that q-deformed quantum mechanics (q-deformed Heisenberg algebra) can be interpreted as quantum mechanics on Kaehler manifolds, or as a quantum theory with second (or first-) class constraints. (Saclay, T93/027).
1994-03-07
2015-06-26
[ "hep-th" ]
Sergey V. Shabanov
hep-th/9403045
Quantum States of String-Inspired Lineal Gravity
We construct quantum states for a (1+1) dimensional gravity-matter model that is also a gauge theory based on the centrally extended Poincar\'e group. Explicit formulas are found, which exhibit interesting structures. For example wave functionals are gauge invariant except for a gauge non-invariant phase factor that is...
1994-03-07
2009-10-28
[ "hep-th" ]
D. Cangemi and R. Jackiw
hep-th/9403046
Topological Structures in the Standard Model at High $T$
Topological Structures in the Standard Model at high $T$ are discussed.
1994-03-07
2007-05-23
[ "hep-th" ]
R. Jackiw
hep-th/9403039
Fock Representations of Quantum Fields with Generalized Statistic
We develop a rigorous framework for constructing Fock representations of quantum fields obeying generalized statistics associated with certain solutions of the spectral quantum Yang-Baxter equation. The main features of these representations are investigated. Various aspects of the underlying mathematical structure are...
1994-03-07
2010-11-01
[ "hep-th" ]
A. Liguori and M. Mintchev
hep-th/9403040
Point-Like States for Type 2b Superstrings
This paper considers closed-string states of type 2b superstring theory in which the whole string is localized at a single point in superspace. Correlation functions of these (scalar and pseudoscalar) states possess an infinite number of position-space singularities inside and on the light-cone as well as a space-like ...
1994-03-07
2009-10-28
[ "hep-th" ]
Michael B. Green
hep-th/9403043
A Comment on the Odd Flows for the Supersymmetric KdV equation
In a recent paper Dargis and Mathieu introduced integrodifferential odd flows for the supersymmetric KdV equation. These flows are obtained from the nonlocal conservation laws associated with the fourth root of its Lax operator. In this note I show that only half of these flows are of the standard Lax form, while the r...
1994-03-07
2015-06-26
[ "hep-th" ]
E. Ramos
hep-th/9403047
Refining the Elliptic Genus
We show how special forms of an $N=2$ Landau-Ginzburg potential directly imply the presence of an $N=2$ super-$W$ algebra. If the Landau-Ginzburg model has a super-$W$ algebra, we show how the elliptic genus can be refined so as to give much more complete information about the structure of the model. We study the super...
1994-03-07
2011-07-19
[ "hep-th" ]
D. Nemeschansky and N.P. Warner
hep-th/9403036
The Drinfeld--Sokolov Holomorphic Bundle and Classical $W$ Algebras on Riemann Surfaces
Developing upon the ideas of ref. \ref{6}, 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. The basic geometric object is the Drinfeld--Sokolov principal bundle $L$ associated to a simple complex Lie group $G$ equipped with ...
1994-03-07
2009-10-28
[ "hep-th", "math.QA" ]
Roberto Zucchini
hep-th/9403041
Exact string background from a WZW model based on the Heisenberg group
A WZW model for the non-semi-simple D-dimensional Heisenberg group, which directly generalizes the E_{2}^{c} group, is constructed. It is found to correspond to an D-dimensional string background of plane-wave type with physical Lorentz signature D-2. Perturbative and non-perturbative considerations lead both to an int...
1994-03-07
2009-12-04
[ "hep-th" ]
A.A. Kehagias and P.A.A. Meessen
hep-th/9403044
Integrable mappings and polynomial growth
We describe birational representations of discrete groups generated by involutions, having their origin in the theory of exactly solvable vertex-models in lattice statistical mechanics. These involutions correspond respectively to two kinds of transformations on $q \times q$ matrices: the inversion of the $q \times q$ ...
1994-03-07
2009-10-28
[ "hep-th", "nlin.SI", "solv-int" ]
S. Boukraa, J-M. Maillard and G. Rollet
hep-th/9403037
Space-time Supersymmetry in Asymmetric Orbifold Models
We study the condition for the appearance of space-time supercharges in twisted sectors of asymmetric orbifold models. We present a list of the asymmetric $Z_N$-orbifold models which satisfy a simple condition necessary for the appearance of space-time supercharges in twisted sectors. We investigate whether or not such...
1994-03-07
2007-05-23
[ "hep-th" ]
Toshihiro Sasada
hep-th/9403038
Dynamical Zero Modes and Pure Glue ${\bf{\rm{QCD}}_{1+1}}$ in Light-Cone Field Theory
We consider light-cone quantized ${\rm{QCD}}_{1+1}$ on a `cylinder' with periodic boundary conditions on the gluon fields. This is the framework of discretized light-cone quantization. We review the argument that the light-cone gauge $A^+=0$ is not attainable. The zero mode is a dynamical and gauge invariant field. The...
1994-03-07
2009-10-28
[ "hep-th" ]
Alex C. Kalloniatis, Hans-Christian Pauli and Stephen Pinsky
hep-th/9403035
Representation Blocks of Conformal Fields for the $N$=4 SU(2)$_k$ Superconformal Algebras
The representation theories of the SU(2)$_k$-extended $N$=4 superconformal algebras (SCAs) with $arbitrary$ level $k$ are developed being based on their Feigin-Fuchs representations found recently by the present author. A basic unit of the representation blocks consisting of eight \lq\lq boson-like\rq\rq\ and eight \lq...
1994-03-07
2015-06-26
[ "hep-th" ]
Satoshi Matsuda
hep-th/9403032
Singular vectors of the $WA_2$ algebra
The null vectors of an arbitrary highest weight representation of the $WA_2$ algebra are constructed. Using an extension of the enveloping algebra by allowing complex powers of one of the generators, analysed by Kent for the Virasoro theory, we generate all the singular vectors indicated by the Kac determinant. We prov...
1994-03-06
2009-10-28
[ "hep-th" ]
Z. Bajnok
hep-th/9403034
Ribbons Around Mexican Hats
We analyze quasi-topological solitons winding around a mexican-hat potential in two space-time dimensions. They are prototypes for a large number of physical excitations, including Skyrmions of the Higgs sector of the standard electroweak model, magnetic bubbles in thin ferromagnetic films, and strings in certain non...
1994-03-05
2010-11-01
[ "hep-th", "hep-ph" ]
C.Bachas and T.N.Tomaras
hep-th/9403028
$S^7$ Current Algebras
We present $S^7$-algebras as generalized Kac-Moody algebras. A number of free-field representations is found. We construct the octonionic projective spaces ${\O}P^N$.
1994-03-04
2007-05-23
[ "hep-th" ]
Martin Cederwall and Christian R. Preitschopf
hep-th/9403030
Classical Functional Bethe Ansatz for $SL(N)$: separation of variables for the magnetic chain
The Functional Bethe Ansatz (FBA) proposed by Sklyanin is a method which gives separation variables for systems for which an $R$-matrix is known. Previously the FBA was only known for $SL(2)$ and $SL(3)$ (and associated) $R$-matrices. In this paper I advance Sklyanin's program by giving the FBA for certain systems with...
1994-03-04
2009-10-28
[ "hep-th" ]
D.R.D. Scott
hep-th/9403025
$W_{\infty}$ algebra in the integer quantum Hall effects
We investigate the $W_{\infty}$ algebra in the integer quantum Hall effects. Defining the simplest vacuum, the Dirac sea, we evaluate the central extension for this algebra. A new algebra which contains the central extension is called the $W_{1+\infty}$ algebra. We show that this $W_{1+\infty}$ algebra is an origin of ...
1994-03-04
2017-02-01
[ "hep-th", "cond-mat" ]
Hiroo Azuma
hep-th/9403033
Realization of $U_q(so(N))$ within the differntial algebra on ${\bf R}_q^N$
We realize the Hopf algebra $U_{q^{-1}}(so(N))$ as an algebra of differential operators on the quantum Euclidean space ${\bf R}_q^N$. The generators are suitable q-deformed analogs of the angular momentum components on ordinary ${\bf R}^N$. The algebra $Fun({\bf R}_q^N)$ of functions on ${\bf R}_q^N$ splits into a dire...
1994-03-04
2014-11-18
[ "hep-th", "math.QA" ]
Gaetano Fiore
hep-th/9403024
Generalized Penner models to all genera
We give a complete description of the genus expansion of the one-cut solution to the generalized Penner model. The solution is presented in a form which allows us in a very straightforward manner to localize critical points and to investigate the scaling behaviour of the model in the vicinity of these points. We carry ...
1994-03-04
2009-10-28
[ "hep-th" ]
J. Ambjorn, Yu. Makeenko and C.F. Kristjansen
hep-th/9403027
There are No Causality Problems for Fermi's Two Atom System
A repeatedly discussed gedanken experiment, proposed by Fermi to check Einstein causality, is reconsidered. It is shown that, contrary to a recent statement made by Hegerfeldt, there appears no causality paradoxon in a proper theoretical description of the experiment.
1994-03-04
2009-10-28
[ "hep-th" ]
Detlev Buchholz and Jakob Yngvason
hep-th/9403031
The Wu-Yang Ambiguity Revisited
Several examples are given of continuous families of SU(2) vector potentials $A_i^a(x)$ in 3 space dimensions which generate the same magnetic field $B^{ai}(x)$ (with det $B\neq 0$). These Wu-Yang families are obtained from the Einstein equation $R_{ij}=-2G_{ij}$ derived recently via a local map of the gauge field syst...
1994-03-04
2009-10-08
[ "hep-th" ]
Daniel Z. Freedman and Ramzi R. Khuri
hep-th/9403026
Solving the Strongly Coupled 2D Gravity: 2. Fractional-Spin Operators, and Topological Three-Point Functions
Progress along the line of a previous article are reported. One main point is to include chiral operators with fractional quantum group spins (fourth or sixth of integers) which are needed to achieve modular invariance. We extend the study of the chiral bootstrap (recently completed by E. Cremmer, and the present autho...
1994-03-04
2009-10-28
[ "hep-th" ]
Jean-Loup Gervais, Jean-Francois Roussel
hep-th/9403029
From topological quantum mechanics to the physics of spin-one particles
We give an example of topological theory whose Hilbert space contains physical objects: the N=2 supersymmetric Lagrangian of spin-one particles moving in D-dimensional space-time equals the Lagrangian of a topological sigma model in a (D+2)-dimensional target. The equivalence is valid for a curved space-time. As an app...
1994-03-04
2007-05-23
[ "hep-th" ]
Romain Attal and Laurent Baulieu
hep-th/9403016
Quantum Chains with $GL_q(2)$ Symmetry
Usually quantum chains with quantum group symmetry are associated with representations of quantized universal algebras $U_q(g) $ . Here we propose a method for constructing quantum chains with $C_q(G)$ global symmetry , where $C_q(G)$ is the algebra of functions on the quantum group. In particular we will construct a q...
1994-03-03
2009-10-28
[ "hep-th" ]
Masoud Alimohammadi
hep-th/9403023
Deformation analysis of matrix models
The Tracy-Widom equations associated with level spacing distributions are realized as a special case of monodromy preserving deformations.
1994-03-03
2009-10-28
[ "hep-th", "nlin.SI", "solv-int" ]
John Palmer
hep-th/9403019
Tests of Integrability of the Supersymmetric Nonlinear Schrodinger Equation
We apply various conventional tests of integrability to the supersymmetric nonlinear Schr\"odinger equation. We find that a matrix Lax pair exists and that the system has the Painlev\'e property only for a particular choice of the free parameters of the theory. We also show that the second Hamiltonian structure general...
1994-03-03
2009-10-28
[ "hep-th" ]
J. C. Brunelli and Ashok Das
hep-th/9403018
On 4D-Hawing Radiation from Effective Action
We determine the $s$-waves contribution of a scalar field to the four dimensional effective action for arbitrary spherically symmetric external gravitational fields. The result is applied to $4d$-black holes and it is shown that the energy momentum tensor derived from the (nonlocal) effective action contains the Hawkin...
1994-03-03
2009-10-28
[ "hep-th" ]
V. Mukhanov, A. Wipf and A. Zelnikov