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hep-th/9311127
On the Poincare polynomials for Landau-Ginzburg Orbifolds
We construct the Poincare polynomials for Landau-Ginzburg orbifolds with projection operators.Using them we show that special types of dualities including Poincare duality are realized under certain conditions. When Calabi-Yau interpretation exists, two simple formulae for Hodge numbers $h^{2,1}$ and $h^{1,1}$ are obta...
1993-11-22
2010-11-01
[ "hep-th" ]
Hitoshi Sato
hep-th/9311131
Tree scattering amplitudes of the spin-4/3 fractional superstring II: the twisted sectors
The spin-4/3 fractional superstring is characterized by a world-sheet chiral algebra involving spin-4/3 currents. The discussion of the tree-level scattering amplitudes of this theory presented in hepth/9310131 is expanded to include amplitudes containing two twisted-sector states. These amplitudes are shown to satisfy...
1993-11-22
2009-10-22
[ "hep-th" ]
Philip C. Argyres and S.-H. Henry Tye
hep-th/9311128
Charge sum rules in N=2 theories
Some errors in section 4 are corrected. No change in the results.
1993-11-22
2009-09-29
[ "hep-th" ]
O. Aharony, S. Yankielowicz and A. N. Schellekens
hep-th/9311133
Formation and Evaporation of a Naked Singularity in 2D Gravity
We describe a classical configuration of conformal matter forming a naked singularity and discuss its subsequent Hawking evaporation within the context of two dimensional dilaton gravity. The one loop analysis is credible for a large mass naked singularity and suggests the existence of a weak cosmological censorship th...
1993-11-22
2009-10-22
[ "hep-th", "gr-qc" ]
Cenalo Vaz and Louis Witten
hep-th/9311134
On the algebraic structures connected with the linear Poisson brackets of hydrodynamics type
The generalized form of the Kac formula for Verma modules associated with linear brackets of hydrodynamics type is proposed. Second cohomology groups of the generalized Virasoro algebras are calculated. Connection of the central extensions with the problem of quntization of hydrodynamics brackets is demonstrated.
1993-11-22
2016-09-06
[ "hep-th", "math.QA" ]
A. A. Balinsky, A. I. Balinsky
hep-th/9311132
Quantum integrable systems and representations of Lie algebras
In this paper the quantum integrals of the Hamiltonian of the quantum many-body problem with the interaction potential K/sinh^2(x) (Sutherland operator) are constructed as images of higher Casimirs of the Lie algebra gl(N) under a certain homomorphism from the center of U(gl(N)) to the algebra of differential operators...
1993-11-22
2009-10-22
[ "hep-th", "math.QA" ]
Pavel Etingof
hep-th/9311129
Strings and Causality
Notes of the author's talk at Cargese, May 19,1993. The calculation of the string field commutator is simplified by relating it to the short proper time, semiclassical string path integral.
1993-11-22
2007-05-23
[ "hep-th" ]
E. Martinec
hep-th/9311136
Particles with distance dependent statistics at low temperatures
We consider a simplified model of particles with effectively distance dependent statistics, that is particles coupled to a gauge field the Lagrangian of which contains the Chern-Simons term. We analyze the low-lying states of the two-particle system and show that under certain conditions they can exhibit negative compr...
1993-11-22
2007-05-23
[ "hep-th" ]
S.V.Mashkevich and G.M.Zinovjev
hep-th/9311126
Solution of the SU(2) Mandelstam Constraints
It is shown how the Mandelstam constraints for an $SU(2)$ pure lattice gauge theory with $3{\cal N}$ physical degrees of freedom may be solved completely in terms of $3{\cal N}$ Wilson and Polyakov loop variables and ${\cal N}-1$ gauge invariant discrete +/-1 variables, thus enabling a manifestly gauge invariant formul...
1993-11-22
2009-10-22
[ "hep-th", "hep-lat" ]
Jay Watson
hep-th/9311130
Conformal Field Theory Techniques in Large N Yang-Mills Theory
Following some motivating comments on large N two-dimensional Yang-Mills theory, we discuss techniques for large N group representation theory, using quantum mechanics on the group manifold U(N), its equivalence to a quasirelativistic two-dimensional free fermion theory, and bosonization. As applications, we compute th...
1993-11-22
2007-05-23
[ "hep-th" ]
Michael R. Douglas
hep-th/9311135
Generalized quantization scheme for central extensions of Lie algebras
We present the method for finding of the nonlinear Poisson-Lie groups structures on the vector spaces and for their quantization. For arbitrary central extension of Lie algebra explicit formulas of quantization are proposed.
1993-11-22
2009-10-22
[ "hep-th", "math.QA" ]
A. A. Balinsky
hep-th/9311125
Poisson-Lie group of pseudodifferential symbols and fractional KP-KdV hierarchies
The Lie algebra of pseudodifferential symbols on the circle has a nontrivial central extension (by the ``logarithmic'' 2-cocycle) generalizing the Virasoro algebra. The corresponding extended subalgebra of integral operators generates the Lie group of classical symbols of all real (or complex) degrees. It turns out tha...
1993-11-21
2008-02-03
[ "hep-th", "math.QA" ]
Boris Khesin and Ilya Zakharevich
hep-th/9311122
Semiclassical vs. Exact Solutions of Charged Black Hole in Four Dimensions and Exact O(d,d) Duality
We derive a charged black hole solution in four dimensions described by $SL(2,R)\times SU(2)\times U(1)/U(1)^2$ WZW coset model. Using the algebraic Hamiltonian method we calculate the corresponding solution that is exact to all orders in ${1\over k}$. It is shown that unlike the 2D black hole, the singularity remains ...
1993-11-21
2010-11-01
[ "hep-th" ]
David Gershon
hep-th/9311123
Operator Identities, Representations of Algebras and the Problem of Normal Ordering
Families of operator identities appeared as a consequence of an existence of finite-dimensional representation of (super) Lie algebras of first-order differential operators and $q$-deformed (quantum) algebras of first-order finite-difference operators are presented. It is shown that those identities can be rewritten in...
1993-11-20
2009-10-22
[ "hep-th" ]
Alexander Turbiner and Gerhard Post
hep-th/9311124
Distance dependent statistics in a P,T-invariant model
It is shown that in the P,T-invariant model with the mixed Chern-Simons term the interaction of charge carriers leads to effective changing of their statistics, which depends on distance between them. In particular, in the limit of large distances fermions effectively turn into bosons.
1993-11-20
2007-05-23
[ "hep-th" ]
E.V.Gorbar and S.V.Mashkevich
hep-th/9311118
The Quantum ISL(2,C) Group
Abstr.: The classical r-matrix implied by the quantum k-Poincare algebra of Lukierski,Nowicki and Ruegg is used to generate a Poisson structure on the ISL(2,C) group. A quantum deformation of the ISL(2,C) group ( on the Hopf algebra level ) is obtained by a trivial quantization.
1993-11-19
2009-10-22
[ "hep-th" ]
P. Maslanka
hep-th/9311121
Differential Algebras in Non-Commutative Geometry
We discuss the differential algebras used in Connes' approach to Yang-Mills theories with spontaneous symmetry breaking. These differential algebras generated by algebras of the form functions $\otimes$ matrix are shown to be skew tensorproducts of differential forms with a specific matrix algebra. For that we derive a...
1993-11-19
2009-10-22
[ "hep-th", "math.QA" ]
W. Kalau, N. A. Papadopoulos, J. Plass, J.-M. Warzecha
hep-th/9311117
Six-loop divergences in the supersymmetric Kahler sigma model
The two-dimensional supersymmetric $\s$-model on a K\"ahler manifold has a non-vanishing $\b$-function at four loops, but the $\b$-function at five loops can be made to vanish by a specific choice of renormalisation scheme. We investigate whether this phenomenon persists at six loops, and conclude that it does not; the...
1993-11-19
2015-06-26
[ "hep-th" ]
I. Jack, D. R. T. Jones and J. Panvel
hep-th/9311114
Exponential mapping for non semisimple quantum groups
The concept of universal T matrix, recently introduced by Fronsdal and Galindo in the framework of quantum groups, is here discussed as a generalization of the exponential mapping. New examples related to inhomogeneous quantum groups of physical interest are developed, the duality calculations are explicitly presented ...
1993-11-19
2009-10-22
[ "hep-th", "math.QA" ]
F. Bonechi, Enrico Celeghini, R. Giachetti, C. M. Pere\~na, E. Sorace, M. Tarlini
hep-th/9311112
Covariant differential complexes on quantum linear groups
We consider the possible covariant external algebra structures for Cartan's 1-forms on GL_q(N) and SL_q(N). We base upon the following natural postulates: 1. the invariant 1-forms realize an adjoint representation of quantum group; 2. all monomials of these forms possess the unique ordering. For the obtained exte...
1993-11-19
2016-09-06
[ "hep-th", "math.QA" ]
A. P. Isaev and P. N. Pyatov
hep-th/9311111
Landau Levels and Quantum Group
We find a quantum group structure in two-dimensional motions of a nonrelativistic electron in a uniform magnetic field and in a periodic potential. The representation basis of the quantum algebra is composed of wavefunctions of the system. The quantum group symmetry commutes with the Hamiltonian and is relevant to the ...
1993-11-19
2015-06-26
[ "hep-th" ]
H.-T. Sato
hep-th/9311116
Integrable QFT(2) Encoded on Products of Dynkin Diagrams
A large class of Thermodynamic Bethe Ansatz equations governing the Renormalization Group evolution of the Casimir energy of the vacuum on the cylinder for an integrable two-dimensional field theory, can often be encoded on a tensor product of two graphs. We demonstrate here that in this case the two graphs can only be...
1993-11-19
2007-05-23
[ "hep-th" ]
E.Quattrini, F.Ravanini and R.Tateo
hep-th/9311120
New Black Hole, String and Membrane Solutions of the Four-Dimensional Heterotic String
We present solutions of the low-energy four-dimensional heterotic string corresponding to $p$-branes with $p=0,1,2$, which are characterized by a mass per unit $p$-volume, ${\cal M}_{p+1}$, and topological ``magnetic'' charge, $g_{p+1}$. In the extremal limit, $\sqrt{2} \kappa {\cal M}_{p+1} = g_{p+1}$, they reduce to ...
1993-11-19
2011-07-19
[ "hep-th" ]
M.J.Duff, Ramzi R. Khuri, Ruben Minasian, Joachim Rahmfeld
hep-th/9311113
Symmetries in a Polynomial Formulation of the Non-Linear Sigma-Model
We study the realisation of global symmetries in a polynomial formulation of the non-linear sigma-model. We show that there are global symmetries whose corresponding Noether currents are the topological currents in the usual formulation. The usual Noether currents associated with the internal symmetry group are reprodu...
1993-11-19
2009-10-22
[ "hep-th" ]
C. D. Fosco and R. C. Trinchero
hep-th/9311119
On Soliton Content of Self Dual Yang-Mills Equations
Exploiting the formulation of the Self Dual Yang-Mills equations as a Riemann-Hilbert factorization problem, we present a theory of pulling back soliton hierarchies to the Self Dual Yang-Mills equations. We show that for each map $ \C^4 \to \C^{\infty } $ satisfying a simple system of linear equations formulated below ...
1993-11-19
2009-10-22
[ "hep-th", "nlin.SI", "solv-int" ]
Jacek Szmigielski
hep-th/9311108
Light-Front Quantisation as an Initial-Boundary Value Problem
In the light front quantisation scheme initial conditions are usually provided on a single lightlike hyperplane. This, however, is insufficient to yield a unique solution of the field equations. We investigate under which additional conditions the problem of solving the field equations becomes well posed. The consequen...
1993-11-18
2009-10-22
[ "hep-th" ]
T.Heinzl and E. Werner
hep-th/9311104
N=2 Superconformal Theories and their Integrable Deformations
After a short review of the algebraic setting of N=2 superconformal field theories, their chiral ring and their perturbations, I present some recent results on curious relations between the integrability of their perturbations and algebraic properties of their deformed chiral ring. (Lecture given at Hang-zhou, China, S...
1993-11-18
2007-05-23
[ "hep-th" ]
J.-B. Zuber
hep-th/9311105
Non-Fermi liquid behaviour of electrons in the half-filled honeycomb lattice (A renormalization group approach)
A system of electrons in the two-dimensional honeycomb lattice with Coulomb interactions is described by a renormalizable quantum field theory similar but not equal to QED_3. Renormalization group techniques are used to investigate the infrared behaviour of the system that flows to a fixed point with non-Fermi liquid c...
1993-11-18
2009-10-22
[ "hep-th" ]
J. Gonzalez, F. Guinea and M. A. H. Vozmediano
hep-th/9311102
On the Infrared Limit of Two Dimensional QCD
We study the infrared limit of two dimensional QCD, with massless dynamical Dirac fermions that are in the fundamental representation of the gauge group. We find that the theory reduces to a spin generalization of the Calogero model with an additional magnetic coupling which is of the Pauli type.
1993-11-18
2009-10-22
[ "hep-th" ]
A.J. Niemi and P. Pasanen
hep-th/9311110
Symplectic Geometry of Supersymmetry and Nonlinear Sigma Model
Recently it has been argued, that Poincar\'{e} supersymmetric field theories admit an underlying loop space hamiltonian (symplectic) structure. Here shall establish this at the level of a general $N=1$ supermultiplet. In particular, we advocate the use of a superloop space and explain the necessity of using nonconventi...
1993-11-18
2009-10-22
[ "hep-th" ]
Kaupo Palo
hep-th/9311106
Axial Monopoles, The Quantization of Electric Charge and a Dynamical Discreteness of Space-Time
In the present contribution we show that the introduction of a conserved axial current in electrodynamics can explain the quantization of electric charge, preserving parity conservation, and introduces a dynamical discreteness into space-time.
1993-11-18
2007-05-23
[ "hep-th" ]
S.C.S. Silva, P.C.R.C. Mello and M.C. Nemes
hep-th/9311107
Chiral Vertex Operators in Off-Conformal Theory: The Sine-Gordon Example
We study chiral vertex operators in the sine-Gordon [SG] theory, viewed as an off-conformal system. We find that these operators, which would have been primary fields in the conformal limit, have interesting and, in some ways, unexpected properties in the SG model. Some of them continue to have scale- invariant dynamic...
1993-11-18
2009-10-22
[ "hep-th" ]
Shau-Jin Chang and R. Rajaraman
hep-th/9311115
Regge Regime in QCD and Asymmetric Lattice Gauge Theory
We study the Regge regime of QCD as a special regime of lattice gauge theory on an asymmetric lattice. This lattice has a spacing $a_0 $ in the longitudinal direction and a spacing $a_t $ in the transversal direction. The limit $\frac{a_{0}}{a_{t}} \to 0$ corresponds to correlation functions with small longitudinal and...
1993-11-18
2011-07-19
[ "hep-th", "hep-lat", "hep-ph" ]
I.Ya. Aref'eva
hep-th/9311103
Classical and Quantum Evolutions of the de Sitter and the anti-de Sitter Universes in 2+1 dimensions
Two canonical formulations of the Einstein gravity in 2+1 dimensions, namely, the ADM formalism and the Chern-Simons gravity, are investigated in the case of nonvanishing cosmological constant. General arguments for reducing phase spaces of the two formalisms are given when spatial hypersurface is compact. In particula...
1993-11-18
2013-11-13
[ "hep-th" ]
Kiyoshi Ezawa
hep-th/9311109
Lie Algebras and Braided Geometry
We show that every Lie algebra or superLie algebra has a canonical braiding on it, and that in terms of this its enveloping algebra appears as a flat space with braided-commuting coordinate functions. This also gives a new point of view about $q$-Minkowski space which arises in a similar way as the enveloping algebra o...
1993-11-18
2008-02-03
[ "hep-th", "math.QA" ]
Shahn Majid
hep-th/9311092
Exact C=1 Boundary Conformal Field Theories
We present a solution of the problem of a free massless scalar field on the half line interacting through a periodic potential on the boundary. For a critical value of the period, this system is a conformal field theory with a non-trivial and explicitly calculable S-matrix for scattering from the boundary. Unlike all o...
1993-11-17
2009-10-22
[ "hep-th", "cond-mat" ]
Curtis G. Callan and Igor R. Klebanov
hep-th/9311091
Dynamical Equations of Spinning Particles: Feynman's Proof
In this letter, we discuss the extension of Feynman's derivation of the equation of motion to the case of spinning particles. We show that a spinning particle interacts only with the electromagnetic and gravitational fields. In the absence of the electromagnetic interactions, we rederive Papapetrou's equations for spin...
1993-11-17
2009-10-22
[ "hep-th" ]
Chihong Chou
hep-th/9311094
The differential geometry of Fedosov's quantization
B. Fedosov has given a simple and very natural construction of a deformation quantization for any symplectic manifold, using a flat connection on the bundle of formal Weyl algebras associated to the tangent bundle of a symplectic manifold. The connection is obtained by affinizing, nonlinearizing, and iteratively flatte...
1993-11-17
2009-09-25
[ "hep-th", "math.DG", "math.QA" ]
Claudio Emmrich, Alan Weinstein
hep-th/9311101
Coherent States in Null-Plane Q.E.D
Light front field theories are known to have the usual infra-red divergences of the equal time theories, as wellas new `spurious' infra-red divergences. The formar kind of IR divergences are usually treated by giving a small mass to the gauge particle. An alternative method to deal with these divergences is to calculat...
1993-11-17
2009-10-22
[ "hep-th" ]
Anuradha Misra
hep-th/9311100
Vortex Dynamics in Selfdual Maxwell-Higgs Systems with Uniform Background Electric Charge Density
We introduce selfdual Maxwell-Higgs systems with uniform background electric charge density and show that the selfdual equations satisfied by topological vortices can be reduced to the original Bogomol'nyi equations without any background. These vortices are shown to carry no spin but to feel the Magnus force due to th...
1993-11-17
2009-10-22
[ "hep-th" ]
Ki-Myeong Lee
hep-th/9311098
Yang-Mills Cosmologies and Collapsing Gravitational Sphalerons
Cosmological solutions with a homogeneous Yang-Mills field which oscillates and passes between topologically distinct vacua are discussed. These solutions are used to model the collapsing Bartnik-McKinnon gravitational sphaleron and the associated anomalous production of fermions. The Dirac equation is analyzed in thes...
1993-11-17
2009-10-07
[ "hep-th", "gr-qc" ]
G.W. Gibbons and Alan R. Steif
hep-th/9311097
On the Semi-Relative Condition for Closed (TOPOLOGICAL) Strings
We provide a simple lagrangian interpretation of the meaning of the $b_0^-$ semi-relative condition in closed string theory. Namely, we show how the semi-relative condition is equivalent to the requirement that physical operators be cohomology classes of the BRS operators acting on the space of local fields {\it covari...
1993-11-17
2010-11-01
[ "hep-th" ]
C.M. Becchi, R. Collina and C. Imbimbo
hep-th/9311095
Quantum supergroups of $GL(n|m)$ type: differential forms, Koszul complexes and Berezinians
We introduce and study the Koszul complex for a Hecke $R$-matrix. Its cohomologies, called the Berezinian, are used to define quantum superdeterminant for a Hecke $R$-matrix. Their behaviour with respect to Hecke sum of $R$-matrices is studied. Given a Hecke $R$-matrix in $n$-dimensional vector space, we construct a He...
1993-11-17
2009-09-25
[ "hep-th", "math.QA" ]
Volodymyr Lyubashenko and A. Sudbery
hep-th/9311099
Nonlocal QED admits a finitely induced gauge field action
The Letter reconsiders a result obtained by Chr\'etien and Peierls in 1954 within nonlocal QED in 4D [Proc. Roy. Soc. London A 223, 468]. Starting from secondly quantized fermions subject to a nonlocal action with the kernel $[ i\not\partial_x a(x) - m b(x)]$ and gauge covariantly coupled to an external U(1) gauge fiel...
1993-11-17
2008-12-18
[ "hep-th" ]
K. Scharnhorst
hep-th/9311093
Exact string backgrounds from WZW models based on non-semi-simple groups
We formulate WZW models based on a centrally extended version of the Euclidean group in $d$-dimensions. We obtain string backgrounds corresponding to conformal $\s$-models in $D=d^2$ space-time dimensions with exact central charge $c=d^2$ and $d(d-1)/2$ null Killing vectors. By identifying the corresponding conformal f...
1993-11-17
2015-06-26
[ "hep-th" ]
Konstadinos Sfetsos
hep-th/9311096
Quantization of the external algebra on a Poisson-Lie group
We show that the external algebra $\cal M$ on $GL(N)$ can be equipped with the graded Poisson brackets compatible with the group action. We prove that there are only two graded Poisson-Lie structures (brackets) on $\cal M$ and we obtain their explicit description. We realize that just these two structures appear as the...
1993-11-17
2008-02-03
[ "hep-th", "math.QA" ]
G. E. Arutyunov and P. B. Medvedev
hep-th/9311090
From Quantum Probabilities to Classical Facts
Model interactions between classical and quantum systems are briefly reviewed. These include: general measurement - like couplings, Stern-Gerlach experiment, model of a counter, quantum Zeno effect, piecewise deterministic Markov processes and meaning of the wave function.
1993-11-16
2008-02-03
[ "hep-th" ]
Ph. Blanchard and A. Jadczyk
hep-th/9311085
Circular String-Instabilities in Curved Spacetime
We investigate the connection between curved spacetime and the emergence of string-instabilities, following the approach developed by Loust\'{o} and S\'{a}nchez for de Sitter and black hole spacetimes. We analyse the linearised equations determining the comoving physical (transverse) perturbations on circular strings e...
1993-11-16
2009-10-22
[ "hep-th" ]
A.L.Larsen
hep-th/9311089
Correlation functions of two-matrix models
We show how to calculate correlation functions of two matrix models. Our method consists in making full use of the integrable hierarchies and their reductions, which were shown in previous papers to naturally appear in multi--matrix models. The second ingredient we use are the $W$--constraints. In fact an explicit solu...
1993-11-16
2008-02-03
[ "hep-th" ]
L.Bonora and C.S.Xiong
hep-th/9311086
Loop Equations for the d-dimensional n-Hermitian matrix model
We derive the loop equations for the d-dimensional n-Hermitian matrix model. These are a consequence of the Schwinger-Dyson equations of the model. Moreover we show that in leading order of large $N$ the loop equations form a closed set. In particular we derive the loop equations for the $n=2^k$ matrix model recently p...
1993-11-16
2007-05-23
[ "hep-th" ]
J. Alfaro
hep-th/9311084
Critical and non-critical W_{2,4} strings
Nilpotent BRST operators for higher-spin $W_{2,s}$ strings, with currents of spins 2 and $s$, have recently been constructed for $s=4$, 5 and 6. In the case of $W_{2,4}$, this operator can be understood as being the BRST operator for the critical $W\!B_2$ string. In this paper, we construct a generalised BRST operator ...
1993-11-16
2010-04-06
[ "hep-th" ]
H. Lu, C.N. Pope, X.J. Wang and S.C. Zhao
hep-th/9311088
3D Gravity and Gauge Theories
I argue that the complete partition function of 3D quantum gravity is given by a path integral over gauge-inequivalent manifolds times the Chern-Simons partition function. In a discrete version, it gives a sum over simplicial complexes weighted with the Turaev-Viro invariant. Then, I discuss how this invariant can be i...
1993-11-16
2007-05-23
[ "hep-th" ]
D.V.Boulatov
hep-th/9311087
Renormalization-Group Improved Effective Lagrangian for Interacting Theories in Curved Spacetime
A method for finding the renormalization group (RG) improved effective Lagrangian for a massive interacting field theory in curved spacetime is presented. As a particular example, the $\lambda \varphi^4$-theory is considered and the RG improved effective Lagrangian is explicitly found up to second order in the curvatur...
1993-11-16
2009-09-17
[ "hep-th" ]
E. Elizalde and S.D. Odintsov
hep-th/9311081
A Class of String Backgrounds as a Semiclassical Limit of WZW Models
A class of string backgrounds associated with non semi-simple groups is obtained as a special large level limit of ordinary WZW models. The models have an integer Virasoro central charge and they include the background recently studied by Nappi and Witten.
1993-11-15
2019-08-15
[ "hep-th" ]
D.I.Olive, E.Rabinovici and A.Schwimmer
hep-th/9311082
Homologically Twisted Invariants Related to (2+1)- and (3+1)-Dimensional State-Sum Topological Quantum Field Theories
Motivated by suggestions of Paolo Cotta-Ramusino's work at the physical level of rigor relating BF theory to the Donaldson polynomials, we provide a construction applicable to the Turaev/Viro and Crane/Yetter invariants of *a priori* finer invariants dependent on a choice of (co)homology class on the manifold
1993-11-15
2008-02-03
[ "hep-th", "math.QA" ]
David N. Yetter
hep-th/9311080
A Cosmological Interpretation of Duality
We study the cosmological meaning of duality symmetry by considering a two dimensional model of string cosmology. We find that as seen by an internal observer in this universe, the scale factor rebounds at the self-dual length. This rebound is a consequence of the adiabatic expansion. Furthermore, in this situation the...
1993-11-15
2009-10-22
[ "hep-th" ]
M.A.R. Osorio and M.A. Vazquez-Mozo
hep-th/9311083
Conformally Invariant Off-shell Strings
Recent advances in non-critical string theory allow a unique continuation of critical Polyakov string amplitudes to off-shell momenta, while preserving conformal invariance. These continuations possess unusual, apparently stringy, characteristics, as we illustrate with our results for three-point functions. (Talk by R....
1993-11-15
2007-05-23
[ "hep-th" ]
R.C. Myers and V. Periwal
hep-th/9311079
One-Loop Renormalization of Higher-Derivative 2D Dilaton Gravity
A theory of higher-derivative 2D dilaton gravity which has its roots in the massive higher-spin mode dynamics of string theory is suggested. The divergences of the effective action to one-loop are calculated, both in the covariant and in the conformal gauge. Some technical problems which appear in the calculations are ...
1993-11-15
2009-09-17
[ "hep-th" ]
E. Elizalde, S. Naftulin and S.D. Odintsov
hep-th/9311078
On the absence of localized curvature in the weak-coupling phase of quantum gravity
In the weak field expansion of euclidean quantum gravity, an analysis of the Wilson loops in terms of the gauge group, $SO(4)$, shows that the correspondent statistical system does not develope any configuration with localized curvature at low temperature. Such a ``non-local'' behavior contrasts strongly with that of u...
1993-11-15
2009-10-22
[ "hep-th" ]
Giovanni Modanese (Center for theoretical physics, M.I.T.)
hep-th/9311077
Black Holes as P-Branes
We review briefly the thermodynamical interpretation of black hole physics and discuss the problems and inconsistencies in this approach. We provide an alternative interpretation of black holes as quantum objects and investigate the statistical mechanics of a gas of such objects in the microcanonical ensemble. We argue...
1993-11-12
2009-09-25
[ "hep-th" ]
B. Harms and Y. Leblanc
hep-th/9311074
Integrability in Hamiltonian Chern-Simons theory
We consider the moduli space of flat connections on the Riemann surface with marked points. The new efficient parametrization is suggested and used to construct an integrable model on the moduli space. A family of commuting Hamiltonians is extracted from the trace of the transfer matrix built from the Wilson line obser...
1993-11-12
2008-02-03
[ "hep-th", "nlin.SI", "solv-int" ]
A. Yu. Alekseev
hep-th/9311076
Induced $B\wedge F$ term and photon mass generation in 3+1 dimensions
Analysing a 3+1 dimensional model with four-Fermi interactions, we show that topological $\BF$ terms (both abelian and non-abelian) can be induced radiatively by massive fermions at the one-loop level. It is further pointed out that a mechanism of photon (or non-abelian gauge field) mass generation distinct from the us...
1993-11-12
2015-06-26
[ "hep-th" ]
M. Leblanc, R. MacKenzie, P.K.Panigrahi, and R. Ray
hep-th/9311072
Two-dimensional QCD and strings
A review is given of recent research on two-dimensional gauge theories, with particular emphasis on the equivalence between these theories and certain string theories with a two-dimensional target space. Some related open problems are discussed.
1993-11-12
2007-05-23
[ "hep-th" ]
D. J. Gross, W. Taylor
hep-th/9311075
Regular Representation of the Quantum Heisenberg Double $U_q(sl(2))$, $Fun_{q}(SL(2))$ ($q$ is a root of unity)
Pairing between the universal enveloping algebra $U_q(sl(2))$ and the algebra of functions over $SL_q(2)$ is obtained in explicit terms. The regular representation of the quantum double is constructed and investigated. The structure of the root subspaces of the Casimir operator is revealed and described in terms of $SL...
1993-11-12
2008-02-03
[ "hep-th", "math.QA" ]
D. V. Gluschenkov and A. V. Lyakhovskaya
hep-th/9311067
Additional Symmetries of Generalized Hierarchies
The non-isospectral symmetries of a general class of integrable hierarchies are found, generalizing the Galilean and scaling symmetries of the Korteweg--de Vries equation and its hierarchy. The symmetries arise in a very natural way from the semi-direct product structure of the Virasoro algebra and the affine Kac--Mood...
1993-11-11
2016-09-06
[ "hep-th" ]
T.J. Hollowood, J.L. Miramontes and J. Sanchez Guillen
hep-th/9311073
2D Ising Model with a Defect Line
We study the two-dimensional Ising model with a defect line and evaluate multipoint energy correlation functions using non-perturbative field-theoretical methods. We also discuss the evaluation of the two spin correlator on the defect line.
1993-11-11
2015-06-26
[ "hep-th" ]
D.C.Cabra and C.M.Na\'on
hep-th/9311068
Particle Physics Models, Grand Unification, and Gravity in Non-Commutative Geometry
We review the construction of particle physics models in the framework of non-commutative geometry. We first give simple examples, and then progress to outline the Connes-Lott construction of the standard Weinberg-Salam model and our construction of the SO(10) model. We then discuss the analogue of the Einstein-Hilbert...
1993-11-11
2007-05-23
[ "hep-th" ]
A.H. Chamseddine and J. Fr\"ohlich
hep-th/9311071
Covariant Quantization Of Green Schwarz Superstring
We describe a canonical covariant approach to the quantization of the Green-Schwarz superstring. The approach is first applied to the canonical covariant quantization of the Brink and Schwarz superparticle. The Kallosh action is obtained in this case, with the correct BRST cohomology.
1993-11-11
2007-05-23
[ "hep-th" ]
A.Restuccia and J. Stephany
hep-th/9311065
Light-Cone Quantization of Gauge Fields
Light-cone quantization of gauge field theory is considered. With a careful treatment of the relevant degrees of freedom and where they must be initialized, the results obtained in equal-time quantization are recovered, in particular the Mandelstam-Leibbrandt form of the gauge field propagator. Some aspects of the ``di...
1993-11-11
2010-11-01
[ "hep-th" ]
Gary McCartor and David G. Robertson
hep-th/9311070
The (N,M)-th KdV hierarchy and the associated W algebra
We discuss a differential integrable hierarchy, which we call the (N, M)$--th KdV hierarchy, whose Lax operator is obtained by properly adding $M$ pseudo--differential terms to the Lax operator of the N--th KdV hierarchy. This new hierarchy contains both the higher KdV hierarchy and multi--field representation of KP hi...
1993-11-11
2009-10-22
[ "hep-th" ]
L.Bonora and C.S.Xiong
hep-th/9311069
Quantum Groups
These notes correspond rather accurately to the translation of the lectures given at the Fifth Mexican School of Particles and Fields, held in Guanajuato, Gto., in December~1992. They constitute a brief and elementary introduction to quantum symmetries from a physical point of view, along the lines of the forthcoming b...
1993-11-11
2015-06-26
[ "hep-th", "cond-mat", "hep-ph", "nlin.SI", "solv-int" ]
M. Ruiz--Altaba
hep-th/9311066
Path Integral Approach to Two-Dimensional QCD in the Light-Front
Two-dimensional quantum cromodynamics in the light-front frame is studied following hamiltonian methods. The theory is quantized using the path integral formalism and an effective theory similar to the Nambu-Jona Lasinio model is obtained. Confinement in two dimensions is derived analyzing directly the constraints in t...
1993-11-10
2009-10-22
[ "hep-th" ]
P. Gaete, J. Gamboa and I. Schmidt
hep-th/9311063
Electric monopoles and the Montonen-Olive conjecture
We introduce a topological field theory with a Bogomol'nyi structure permitting BPS electric, magnetic and dyonic monopoles. From the general arguments given by Montonen and Olive the particle spectrum and mass compare favourably with that of the intermediate vector bosons. In most, if not in all, of its essential feat...
1993-11-10
2007-05-23
[ "hep-th" ]
M. Temple-Raston
hep-th/9311061
Large Quantum Poincare Subgroup of q-Conformal Group and q-Minkowski Geometry
We construct quantum deformation of Poincar\'e group using as a starting point $SU(2,2)$ conformal group and twistor-like definition of the Minkowski space. We obtain quantum deformation of $SU(2,2)$ as a real form of multiparametric $GL(4,C)_{q_{ij},r}$. It is shown that Poincar\'e subgroup exists for special nonstand...
1993-11-10
2007-05-23
[ "hep-th" ]
M. Chaichian and A.P.Demichev
hep-th/9311058
Massive-Conformal Dictionary
The finite-volume spectrum of an integrable massive perturbation of a rational conformal field theory interpolates between massive multi-particle states in infinite volume (IR limit) and conformal states, which are approached at zero volume (UV limit). Each state is labeled in the IR by a set of `Bethe Ansatz quantum n...
1993-11-10
2015-06-26
[ "hep-th" ]
Ezer Melzer
hep-th/9311062
On a `universal' class of WZW-type conformal models
We consider a class of sigma models that appears from a generalisation of the gauged WZW model parametrised by a constant matrix $Q$. Particular values of $Q$ correspond to the standard gauged WZW models, chiral gauged WZW models and a bosonised version of the non-abelian Thirring model. The condition of conformal inva...
1993-11-10
2009-09-17
[ "hep-th" ]
A.A.Tseytlin
hep-th/9311056
Monopole-Catalysed Baryon Decay: A Boundary Conformal Field Theory Approach
Monopole-mediated baryon number violation, the Callan-Rubakov effect, is reexamined using boundary conformal field theory techniques. It is shown that the low-energy behaviour is described simply by free fermions with a conformally invariant boundary condition at the dyon location. When the number of fermion flavours i...
1993-11-10
2009-10-22
[ "hep-th", "cond-mat" ]
Ian Affleck and Jacob Sagi
hep-th/9311057
No generalized statistics from dynamics in curved spacetime
We consider quon statistics in a dynamically evolving curved spacetime in which prior to some initial time and subsequent to some later time is flat. By considering the Bogoliubov transformations associated with gravitationally induced particle creation, we find that the consistent evolution of the generalized commutat...
1993-11-10
2011-07-19
[ "hep-th" ]
J.W.Goodison and D.J.Toms
hep-th/9311064
Yang-Mills Theory on a Cylinder Coupled to Point Particles
We study a model of quantum Yang-Mills theory with a finite number of gauge invariant degrees of freedom. The gauge field has only a finite number of degrees of freedom since we assume that space-time is a two dimensional cylinder. We couple the gauge field to matter, modeled by either one or two nonrelativistic point ...
1993-11-10
2011-07-19
[ "hep-th" ]
K.S.Gupta, R.J.Henderson, S.G.Rajeev and O.T.Turgut
hep-th/9311060
Dimensional Expansion for the Ising Limit of Quantum Field Theory
A recently-proposed technique, called the dimensional expansion, uses the space-time dimension $D$ as an expansion parameter to extract nonperturbative results in quantum field theory. Here we apply dimensional-expansion methods to examine the Ising limit of a self-interacting scalar field theory. We compute the first ...
1993-11-10
2009-10-22
[ "hep-th" ]
Carl M. Bender and Stefan Boettcher
hep-th/9311059
Supermembranes in 4 Dimensions
A non-parametric gauge for supermembranes is introduced which substantially simplifies previous treatments and directly leads to the supersymmetric extension of a Karman-Tsien gas.
1993-11-10
2007-05-23
[ "hep-th" ]
Jens Hoppe
hep-th/9311054
Topological gravity with exchange algebra
A topological gravity is obtained by twisting the effective $(2,0)$ super\-gravity. We show that this topological gravity has an infinite number of BRST invariant quantities with conformal weight $0$. They are a tower of OSp$(2,2)$ multiplets and satisfy the classical exchange algebra of OSp$(2,2)$. We argue that these...
1993-11-09
2009-10-22
[ "hep-th" ]
S. Aoyama
hep-th/9311052
Liouville theory and special coadjoint Virasoro orbits
We describe the Hamiltonian reduction of the coajoint Kac-Moody orbits to the Virasoro coajoint orbits explicitly in terms of the Lagrangian approach for the Wess-Zumino-Novikov-Witten theory. While a relation of the coajoint Virasoro orbit $Diff \; S^1 /SL(2,R)$ to the Liouville theory has been already studied we anal...
1993-11-09
2015-06-26
[ "hep-th" ]
A.Gorsky and A.Johansen
hep-th/9311049
Where is the large radius limit?
By properly accounting for the invariance of a Calabi-Yau sigma-model under shifts of the $B$-field by integral amounts (analagous to the $\theta$-angle in QCD), we show that the moduli spaces of such sigma-models can often be enlarged to include ``large radius limit'' points. In the simplest cases, there are holomorph...
1993-11-09
2008-02-03
[ "hep-th", "alg-geom", "math.AG" ]
David R. Morrison
hep-th/9311053
Anyonic Construction of the $SL_{Q,s}(2)$ Algebra
Considering anyonic oscillators in a two-dimensional lattice, we realize the quantum semi-group $sl_{(q,s)}(2)$ by means of a generalized Schwinger construction. We find that the parameter $q$ of the algebra is connected to the statistical parameter, whereas the $s$ parameter is related to a $s$-deformed oscillator int...
1993-11-09
2011-07-19
[ "hep-th" ]
J.L. Matheus-Valle and M.R-Monteiro
hep-th/9311051
Universality of the universal R-matrix and applications to quantum integrable systems
Results obtained by us are overviewed from a general set up. The universal $R$-matrix is exploited to obtain various important relations and structures involved in quantum group algebra, which are used subsequently for generating different classes of quantum integrable systems through a systematic scheme. This recovers...
1993-11-09
2008-02-03
[ "hep-th", "nlin.SI", "solv-int" ]
Anjan Kundu
hep-th/9311050
Anomaly Cancellation in 2+1 dimensions in the presence of a domainwall mass
A Fermion in 2+1 dimensions, with a mass function which depends on one spatial coordinate and passes through a zero ( a domain wall mass), is considered. In this model, originally proposed by Callan and Harvey, the gauge variation of the effective gauge action mainly consists of two terms. One comes from the induced Ch...
1993-11-09
2009-10-22
[ "hep-th", "hep-lat", "hep-ph" ]
Shailesh Chandrasekharan
hep-th/9311047
Ward Identities of $W_{\infty}$ Symmetry in Liouville Theory coupled to $c_M < 1$ Matter
We investigate the Ward identities of the $W_{\infty}$ symmetry in the Liouville theory coupled to the $(p,q)$ conformal matter. The correlation functions are defined by applying the analytic continuation procedure for the matter sector as well as the Liouville one. We then find that the Ward identities are equivalent ...
1993-11-09
2009-10-22
[ "hep-th" ]
Ken-ji Hamada
hep-th/9311055
Supersymmetry and Bogomol'nyi equations in the Abelian Higgs Model
The N=2 supersymmetric extension of the 2+1 dimensional Abelian Higgs model is discussed. By analysing the resulting supercharge algebra, the connection between supersymmetry and Bogomol'nyi equations is clarified. Analogous results are presented when the model is considered in 2-dimensional (Euclidean) space.
1993-11-09
2009-10-22
[ "hep-th" ]
Jos\'e Edelstein, Carlos Nu\~nez and Fidel Schaposnik
hep-th/9311045
Supergravity in $2+\epsilon$ Dimensions
Supergravity theory in $2+\epsilon$ dimensions is studied. It is invariant under supertransformations in 2 and 3 dimensions. One-loop divergence is explicitly computed in the background field method and a nontrivial fixed point is found. In quantizing the supergravity, a gauge fixing condition is devised which explicit...
1993-11-08
2015-06-26
[ "hep-th" ]
S. Kojima, N. Sakai and Y. Tanii
hep-th/9311046
Critical O(N) - vector nonlinear sigma - models: A resume of their field structure
The classification of quasi - primary fields is outlined. It is proved that the only conserved quasi - primary currents are the energy - momentum tensor and the O(N) - Noether currents. Derivation of all quasi - primary fields and the resolution of degeneracy is sketched. Finally the limits d=2 and d=4 of the space dim...
1993-11-08
2009-09-25
[ "hep-th" ]
Klaus Lang, Werner Ruehl
hep-th/9311042
Measuring Small Distances in N=2 Sigma Models
We analyze global aspects of the moduli space of K\"ahler forms for $N$=(2,2) conformal $\sigma$-models. Using algebraic methods and mirror symmetry we study extensions of the mathematical notion of length (as specified by a K\"ahler structure) to conformal field theory and calculate the way in which lengths change as ...
1993-11-08
2011-07-19
[ "hep-th", "alg-geom", "math.AG" ]
Paul S. Aspinwall, Brian R. Greene, and David R. Morrison
hep-th/9311043
Some Rules for Polydimensional Squeezing
The review of the following results of the Refs. \cite{Sem} - \cite{Ans} is presented: For mixed state light of $N$-mode electromagnetic field described by Wigner function which has generic Gaussian form the photon distribution function is obtained and expressed expliciltly in terms of Hermite polynomials of $2N$-varia...
1993-11-08
2007-05-23
[ "hep-th" ]
V.I. Man'ko
hep-th/9311044
Global counterpart of $k$-Poincare algebra and covariant wave functions
The global counterpart of $k$-Poincare algebra is considered. The induced representations of this group are described. The explicit form of the covariant wave functions in the `minimal' (in Weinberg's sense) case is given.
1993-11-08
2015-06-26
[ "hep-th" ]
P. Maslanka
hep-th/9311048
Singular Limits and String Solutions
It is shown that new leading ($\al'$) as well as all-order solutions of String theory can be obtained by taking appropriate singular limits of the known solutions. We give several leading order solutions for the bosonic as well as the heterotic string. We then present all-order forms of the previously known two dimensi...
1993-11-08
2007-05-23
[ "hep-th" ]
S. Pratik Khastgir and Alok Kumar
hep-th/9311041
Quantum Affine Lie Algebras, Casimir Invariants and Diagonalization of the Braid Generator
Let $U_q(\hat{\cal G})$ be an infinite-dimensional quantum affine Lie algebra. A family of central elements or Casimir invariants are constructed and their eigenvalues computed in any integrable irreducible highest weight representation. These eigenvalue formulae are shown to absolutely convergent when the deformation ...
1993-11-07
2009-10-22
[ "hep-th", "math.QA" ]
Mark D. Gould and Yao-Zhong Zhang
hep-th/9311040
Jackson Integral Representations for Solutions to the Quantized Knizhnik-Zamolodchikov Equation
The quantized Knizhnik-Zamolodchikov equations associated with the trigonometric R-matrix or the rational R-matrix of the A-type are considered. Jackson integral representations for solutions of these equations are described. Asymptotic solutions for a holonomic system of difference equations are constructed. Relations...
1993-11-06
2008-02-03
[ "hep-th", "math.QA" ]
Vitaly Tarasov and Alexander Varchenko
hep-th/9311039
Generalized Squeezed States from Generalized Coherent States
Both the coherent states and also the squeezed states of the harmonic oscillator have long been understood from the three classical points of view: the 1) displacement operator, 2) annihilation- (or ladder-) operator, and minimum-uncertainty methods. For general systems, there is the same understanding except for ladde...
1993-11-06
2007-05-23
[ "hep-th" ]
Michael Martin Nieto
hep-th/9311035
On an Equation Associated with the Contact Lie Algebras
On an equation associated with the contact Lie algebras/ Mikhail V. Saveliev/ In the framework of a Lie algebraic approach we study a nonlinear equation associated with the contact Lie algebra ${\bf K}K_m$, that seems to be relavant for some solvable models of field theory and gravity in higher dimensions. LPTENS--93/4...
1993-11-05
2007-05-23
[ "hep-th" ]
Mikhail V. Saveliev
hep-th/9311037
High Energy Asymptotics of Multi--Colour QCD and Exactly Solvable Lattice Models
The quantum inverse scattering method is applied to the solution of equations for wave functions of compound states of $n$ reggeized gluons in the multicolour QCD in a generalized leading logarithmic approximation.
1993-11-05
2007-05-23
[ "hep-th" ]
L.N. Lipatov