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hep-th/9407108
Quantisation of the SU(N) WZW Model at Level $k$
The quantisation of the Wess-Zumino-Witten model on a circle is discussed in the case of $SU(N)$ at level $k$. The quantum commutation of the chiral vertex operators is described by an exchange relation with a braiding matrix, $Q$. Using quantum consistency conditions, the braiding matrix is found explicitly in the fun...
1994-07-18
2015-06-26
[ "hep-th" ]
M. Chu and P. Goddard
hep-th/9407106
``Integrating in'' and exact superpotentials in 4d
We discuss integrating out matter fields and integrating in matter fields in four dimensional supersymmetric gauge theories. Highly nontrivial exact superpotentials can be easily obtained by starting from a known theory and integrating in matter.
1994-07-18
2011-07-19
[ "hep-th" ]
Ken Intriligator
hep-th/9407104
Hawking Radiation and Back-Reaction in a Unitary Theory of 2D Quantum Gravity
We investigate the semiclassical limit and quantum corrections to the metric in a unitary quantum gravity formulation of the CGHS 2d dilaton gravity model. A new method for calculating the back-reaction effects has been introduced, as an expansion of the effective metric in powers of the matter energy-momentum tensor. ...
1994-07-18
2009-01-16
[ "hep-th", "gr-qc" ]
A. Mikovic
hep-th/9407130
Generalized Runge-Lenz Vector in Taub-Nut Spinning Space
The generalized Killing equations and the symmetries of Taub-NUT spinning space are investigated. For spinless particles the Runge-Lenz vector defines a constant of motion directly, whereas for spinning particles it now requires a non-trivial contribution from spin. The generalized Runge-Lenz vector for spinning Taub-N...
1994-07-18
2011-07-19
[ "hep-th", "gr-qc" ]
Mihai Visinescu
hep-th/9407107
Calogero Models for Distinguishable Particles
Motivated by topological bidimensional quantum models for distinguishable particles, and by Haldane's definition of mutual statistics for different species of particles, we propose a new class of one-dimensional $1/r_{ij}^2$ Calogero model with coupling constants $g_{ij}$ depending on the labels of the particles. We so...
1994-07-18
2015-06-26
[ "hep-th" ]
Cyril FURTLEHNER and St\'ephane OUVRY (Division de Physique Th\'eorique, IPN, Orsay Fr-91406)
hep-th/9407103
Canonical 3+1 Description of Relativistic Membranes
$M$-dimensional extended objects $\Sigma$ can be described by projecting a Diff $\Sigma$ invariant Hamiltonian of time-independent Hamiltonian density {\cal H} onto the Diff $\Sigma$- singlet sector, which after Hamiltonian reduction, using {\cal H} itself for one of the gauge-fixing conditions, results in a non-local ...
1994-07-18
2008-02-03
[ "hep-th" ]
Jens Hoppe
hep-th/9407102
Symmetric Monopoles
We discuss the spectral curves and rational maps associated with $SU(2)$ Bogomolny monopoles of arbitrary charge $k$. We describe the effect on the rational maps of inverting monopoles in the plane with respect to which the rational maps are defined, and discuss the monopoles invariant under such inversion. We define t...
1994-07-18
2008-02-03
[ "hep-th", "dg-ga", "math.DG" ]
N.S. Manton and M.K. Murray
hep-th/9407109
Infinite Conformal Algebras in Supersymmetric Theories on Four Manifolds
We study a supersymmetric theory twisted on a K\"ahler four manifold $M=\Sigma_1 \times \Sigma_2 ,$ where $\Sigma_{1,2}$ are 2D Riemann surfaces. We demonstrate that it possesses a "left-moving" conformal stress tensor on $\Sigma_1$ ($\Sigma_2$) in a BRST cohomology, which generates the Virasoro algebra with the conven...
1994-07-18
2011-07-19
[ "hep-th" ]
Andrei Johansen
hep-th/9407112
Reduction of Toda Lattice Hierarchy to Generalized KdV Hierarchies and Two-Matrix Model
Toda lattice hierarchy and the associated matrix formulation of the $2M$-boson KP hierarchies provide a framework for the Drinfeld-Sokolov reduction scheme realized through Hamiltonian action within the second KP Poisson bracket. By working with free currents, which abelianize the second KP Hamiltonian structure, we ar...
1994-07-18
2009-10-28
[ "hep-th", "nlin.SI", "solv-int" ]
H. Aratyn, E. Nissimov, S. Pacheva and A.H. Zimerman
hep-th/9407101
Kinetic Inflation in Stringy and Other Cosmologies
An inflationary epoch driven by the kinetic energy density in a dynamical Planck mass is studied. In the conformally related Einstein frame it is easiest to see the demands of successful inflation cannot be satisfied by kinetic inflation alone. Viewed in the original Jordan-Brans-Dicke frame, the obstacle is manifest a...
1994-07-17
2010-11-01
[ "hep-th", "astro-ph", "gr-qc" ]
Janna Levin
hep-th/9407099
Exact string solutions and duality
We review known exact classical solutions in (bosonic) string theory. The main classes of solutions are `cosets' (gauged WZW models), `plane wave'-type backgrounds (admitting a covariantly constant null Killing vector) and `$F$-models' (backgrounds with two null Killing vectors generalising the `fundamental string' sol...
1994-07-17
2008-02-03
[ "hep-th" ]
A.A. Tseytlin
hep-th/9407100
Phase Transition in Spherically Symmetric Gravitational Collapse of a Massless Scalar Field
Phase transition in spherically symmetric collapse of a massless scalar field is studied in 4-d Einstein gravity. A class of exact solutions that show the evolution of a constant incoming energy flux turned on at a point in the past null infinity are constructed to serve as an explicit example. The recently discovered ...
1994-07-17
2007-05-23
[ "hep-th" ]
Youngjai Kiem
hep-th/9407098
Symmetries and tau function of higher dimensional dispersionless integrable hierarchies
A higher dimensional analogue of the dispersionless KP hierarchy is introduced. In addition to the two-dimensional ``phase space'' variables $(k,x)$ of the dispersionless KP hierarchy, this hierarchy has extra spatial dimensions compactified to a two (or any even) dimensional torus. Integrability of this hierarchy and ...
1994-07-16
2009-10-28
[ "hep-th", "nlin.SI", "solv-int" ]
Kanehisa Takasaki (Kyoto Univ)
hep-th/9407096
On the string equation at $c=1$
The analogue of the string equation which specifies the partition function of $c=1$ string with a compactification radius $\beta \in \mbox{$\bf{Z}$}_{\geq 1} $ is described in the framework of the Toda lattice hierarchy.
1994-07-16
2010-11-01
[ "hep-th" ]
Toshio Nakatsu
hep-th/9407097
BF Theories and 2-knots
We discuss the relations between (topological) quantum field theories in 4 dimensions and the theory of 2-knots (embedded 2-spheres in a 4-manifold). The so-called BF theories allow the construction of quantum operators whose trace can be considered as the higher-dimensional generalization of Wilson lines for knots in ...
1994-07-16
2007-05-23
[ "hep-th" ]
P. Cotta-Ramusino and M. Martellini
hep-th/9407094
Vector Braids
In this paper we define a new family of groups which generalize the {\it classical braid groups on} $\C $. We denote this family by $\{B_n^m\}_{n \ge m+1}$ where $n,m \in \N$. The family $\{ B_n^1 \}_{n \in \N}$ is the set of classical braid groups on $n$ strings. The group $B_n^m$ is the set of motions of $n$ unordere...
1994-07-15
2008-02-03
[ "hep-th", "math.QA" ]
Vincent Moulton
hep-th/9407092
Realization of compact Lie algebras in K\"ahler manifolds
The Berezin quantization on a simply connected homogeneous K\"{a}hler manifold, which is considered as a phase space for a dynamical system, enables a description of the quantal system in a (finite-dimensional) Hilbert space of holomorphic functions corresponding to generalized coherent states. The Lie algebra associat...
1994-07-15
2009-10-28
[ "hep-th", "math.DG" ]
D. Bar-Moshe and M. S. Marinov (Technion)
hep-th/9407095
Parity and Fermions in Front-Form: An Unexpected Result
We show that under the operation of parity the {\it front-form} $(1/2,\,0)$ and $(0,\,1/2)$ Weyl spinors (massive or massless) do not get interchanged. This has the important consequence that if a front-form theory containing $(1/2,\,0)\oplus(0,\,1/2)$ representation space has to be parity covariant then one must study...
1994-07-15
2008-11-26
[ "hep-th", "nucl-th" ]
Mikolaj Sawicki and D. V. Ahluwalia
hep-th/9407080
The Conformal Group SU(2,2) and Integrable Systems on a Lorentzian Hyperboloid
Eleven different types of "maximally superintegrable" Hamiltonian systems on the real hyperboloid $(s^0)^2-(s^1)^2+(s^2)^2-(s^3)^2=1$ are obtained. All of them correspond to a free Hamiltonian system on the homogeneous space $SU(2,2)/U(2,1)$, but to reductions by different maximal abelian subgroups of $SU(2,2)$. Each o...
1994-07-15
2015-06-26
[ "hep-th" ]
M.A. del Olmo, M.A. Rodriguez and P. Winternitz
hep-th/9407085
Reggeon Interactions in Perturbative QCD
We study the pairwise interaction of reggeized gluons and quarks in the Regge limit of perturbative QCD. The interactions are represented as integral kernels in the transverse momentum space and as operators in the impact parameter space. We observe conformal symmetry and holomorphic factorization in all cases.
1994-07-15
2009-10-28
[ "hep-th" ]
R. Kirschner
hep-th/9407091
Nonperturbative 2D Gravity, Punctured Spheres and $\Theta$-Vacua in String Theories
We consider a model of 2D gravity with the coefficient of the Einstein-Hilbert action having an imaginary part $\pi/2$. This is equivalent to introduce a $\Theta$-vacuum structure in the genus expansion whose effect is to convert the expansion into a series of alternating signs, presumably Borel summable. We show that ...
1994-07-15
2009-10-28
[ "hep-th", "alg-geom", "gr-qc", "math.AG" ]
G. Bonelli, P.A. Marchetti and M. Matone
hep-th/9407087
Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory
We study the vacuum structure and dyon spectrum of N=2 supersymmetric gauge theory in four dimensions, with gauge group SU(2). The theory turns out to have remarkably rich and physical properties which can nonetheless be described precisely; exact formulas can be obtained, for instance, for electron and dyon masses and...
1994-07-15
2010-04-07
[ "hep-th", "hep-ph" ]
N. Seiberg and E. Witten
hep-th/9407083
Flip-Moves and Graded Associative Algebras
The relation between discrete topological field theories on triangulations of two-dimensional manifolds and associative algebras was worked out recently. The starting point for this development was the graphical interpretation of the associativity as flip of triangles. We show that there is a more general relation betw...
1994-07-15
2009-10-28
[ "hep-th" ]
Claus Nowak
hep-th/9407089
Direct Calculation of the Boundary $S$ Matrix for the Open Heisenberg Chain
We calculate the boundary $S$ matrix for the open antiferromagnetic spin $1/2$ isotropic Heisenberg chain with boundary magnetic fields. Our approach, which starts from the model's Bethe Ansatz solution, is an extension of the Korepin-Andrei-Destri method. Our result agrees with the boundary $S$ matrix for the boundary...
1994-07-15
2009-10-28
[ "hep-th" ]
M. T. Grisaru, Luca Mezincescu and Rafael I. Nepomechie
hep-th/9407082
BRST invariant branching functions of G/H coset models
We compute branching functions of $G/H$ coset models using a BRST invariant branching function formulae, i.e. a branching function that respects a BRST invariance of the model. This ensures that only the coset degrees of freedom will propagate. We consider $G/H$ for rank$(G/H)=0$ models which includes the Kazama-Suzuki...
1994-07-15
2008-02-03
[ "hep-th" ]
Henric Rhedin
hep-th/9407088
Black Objects in the Gauge Theory of P-Branes
Within the context of the recently formulated classical gauge theory of relativistic p-branes minimally coupled to general relativity in D-dimensional spacetimes, we obtain solutions of the field equations which describe black objects. Explicit solutions are found for two cases: D > p+1 (true p-branes) and D = p+1 (p-b...
1994-07-15
2009-10-28
[ "hep-th" ]
B. Harms and Y. Leblanc
hep-th/9407084
Miscellaneous Physical Applications of Quantum Algebras
Some ideas about phenomenological applications of quantum algebras to physics are reviewed. We examine in particular some applications of the algebras $U_ q (su_2)$ and $U_{qp}({\rm u}_2)$ to various dynamical systems and to atomic and nuclear spectroscopy. The lack of a true (unique) $q$- or $qp$-quantization process ...
1994-07-15
2007-05-23
[ "hep-th" ]
Maurice Kibler
hep-th/9407090
Anyonic States in Chern-Simons Theory
We discuss the canonical quantization of Chern-Simons theory in $2+1$ dimensions, minimally coupled to a Dirac spinor field, first in the temporal gauge and then in the Coulomb gauge. In our temporal gauge formulation, Gauss's law and the gauge condition, $A_0 = 0$, are implemented by embedding the formulation in an ap...
1994-07-15
2009-10-28
[ "hep-th" ]
Kurt Haller and Edwin Lim-Lombridas (University of Connecticut)
hep-th/9407093
Berezin quantization and unitary representations of Lie groups
In 1974, Berezin proposed a quantum theory for dynamical systems having a K\"{a}hler manifold as their phase space. The system states were represented by holomorphic functions on the manifold. For any homogeneous K\"{a}hler manifold, the Lie algebra of its group of motions may be represented either by holomorphic diffe...
1994-07-15
2008-02-03
[ "hep-th", "math.DG" ]
D. Bar-Moshe and M. S. Marinov (Technion)
hep-th/9407086
Renormalization Group Flow in a General Gauge Theory
The renormalization group flow in a general renormalizable gauge theory with a simple gauge group in 3+1 dimensions is analyzed. The flow of the ratios of the Yukawa couplings and the gauge coupling is described in terms of a bounded potential, which makes it possible to draw a number of non-trivial conclusions concern...
1994-07-15
2009-10-28
[ "hep-th" ]
Harald Skarke
hep-th/9407081
Conformal Properties of Primary Fields in a q-Deformed Theory
We examine some of the standard features of primary fields in the framework of a $q$-deformed conformal field theory. By introducing a $q$-OPE between the energy momentum tensor and a primary field, we derive the $q$-analog of the conformal Ward identities for correlation functions of primary fields. We also obtain sol...
1994-07-15
2009-10-28
[ "hep-th" ]
C.H. Oh and K. Singh
hep-th/9407077
Some Aspects of $q$-Boson Calculus
The content of this work is concerned with Jordan-Schwinger calculus using $q$-deformed bosons.
1994-07-14
2007-05-23
[ "hep-th" ]
Yu.F. Smirnov and M.R. Kibler
hep-th/9407075
The Zeeman Effect for the Relativistic Bound State
In the context of a relativistic quantum mechanics with invariant evolution parameter, solutions for the relativistic bound state problem have been found, which yield a spectrum for the total mass coinciding with the nonrelativistic Schr\"odinger energy spectrum. These spectra were obtained by choosing an arbitrary spa...
1994-07-14
2009-10-28
[ "hep-th" ]
M. C. Land and L. P. Horwitz
hep-th/9407076
Numerical knot invariants of finite type from Chern-Simons perturbation theory
Chern-Simons gauge theory for compact semisimple groups is analyzed from a perturbation theory point of view. The general form of the perturbative series expansion of a Wilson line is presented in terms of the Casimir operators of the gauge group. From this expansion new numerical knot invariants are obtained. These kn...
1994-07-14
2009-10-28
[ "hep-th", "math.QA" ]
M. Alvarez and J. M. F. Labastida
hep-th/9407072
Static Solution of the General Relativistic Nonlinear $\sigma$-Model Equation
The nonlinear $\sigma$-model is considered to be useful in describing hadrons (Skyrmions) in low energy hadron physics and the approximate behavior of the global texture. Here we investigate the properties of the static solution of the nonlinear $\sigma$-model equation coupled with gravity. As in the case where gravity...
1994-07-14
2010-11-01
[ "hep-th", "gr-qc" ]
Chul H. Lee, Joon Ha Kim and Hyun Kyu Lee
hep-th/9407074
Modular Invariance and Uniqueness of Conformal Characters
We show that the conformal characters of various rational models of W-algebras can be already uniquely determined if one merely knows the central charge and the conformal dimensions. As a side result we develop several tools for studying representations of SL(2,Z) on spaces of modular functions. These methods, applied ...
1994-07-14
2009-10-28
[ "hep-th" ]
Wolfgang Eholzer and Nils-Peter Skoruppa
hep-th/9407078
Bosonization in Higher Dimensions
Using the recently discovered connection between bosonization and duality transformations (hep-th/9401105 and hep-th/9403173), we give an explicit path-integral representation for the bosonization of a massive fermion coupled to a U(1) gauge potential (such as electromagnetism) in d space (D=d+1 spacetime) dimensions. ...
1994-07-14
2011-08-12
[ "hep-th", "cond-mat", "hep-ph" ]
C.P. Burgess, C.A. L\"utken and F. Quevedo
hep-th/9407079
Localized Endomorphisms of the Chiral Ising Model
Based on the treatment of the chiral Ising model by Mack and Schomerus, we present examples of localized endomorphisms $\varrho_1^{\rm loc}$ and $\varrho_{1/2}^{\rm loc}$. It is shown that they lead to the same superselection sectors as the global ones in the sense that unitary equivalence $\pi_0\circ\varrho_1^{\rm loc...
1994-07-14
2016-08-14
[ "hep-th" ]
Jens B\"ockenhauer
hep-th/9407068
A Note on Representations of N=2 SW-Algebras
We investigate the representation theory of some recently constructed N=2 super W-algebras with two generators. Except for the central charges in the unitary minimal series of the N=2 super Virasoro algebra we find no new rational models. However, from our results it is possible to arrange all known N=2 super W-algebra...
1994-07-13
2015-06-26
[ "hep-th" ]
R. Blumenhagen, R. Huebel
hep-th/9407065
Recursion Relations for Clebsch-Gordan Coefficients of Uq(su2) and Uq(su1,1)
We report in this article three- and four-term recursion relations for Clebsch-Gordan coefficients of the quantum algebras $U_q(su_2)$ and $U_q(su_{1,1})$. These relations were obtained by exploiting the complementarity of three quantum algebras in a $q$-deformation of $sp(8, \gr)$.
1994-07-13
2007-05-23
[ "hep-th" ]
M. Kibler, C. Campigotto and Yu.F. Smirnov
hep-th/9407071
Two-Parametric Quantum-Deformed Dual Amplitude
From a 2-parametric deformation of the harmonic oscillator algebra we construct a 4-point dual amplitude with nonlinear trajectories. The earlier versions of the q-deformed dual models are reproduced as limiting cases of the present model.
1994-07-13
2009-10-28
[ "hep-th" ]
L.Jenkovszky, M.Kibler, A.Mishchenko
hep-th/9407062
The Dynamical Correlation Function of the XXZ Model
We perform a spectral decomposition of the dynamical correlation function of the spin $1/2$ XXZ model into an infinite sum of products of form factors. Beneath the four-particle threshold in momentum space the only non-zero contributions to this sum are the two-particle term and the trivial vacuum term. We calculate th...
1994-07-13
2009-09-25
[ "hep-th", "cond-mat" ]
Robert A. Weston and A.H. Bougourzi
hep-th/9407069
Topological Correlation Functions in Minkowski Spacetime
We consider a class of non-unitary Toda theories based on the Lie superalgebras $A^{(1)}(n,n)$ in two-dimensional Minkowski spacetime, which can be twisted into a topological sector. In particular we study the simplest example with $n=1$ and real fields, and show how this theory can be treated as an integrable perturba...
1994-07-13
2009-10-28
[ "hep-th" ]
S. Penati and D. Zanon
hep-th/9407067
A queer reduction of degrees of freedom
The classical dynamics of antisymmetric second-rank tensor matter fields is analyzed. The conformally invariant action for the tensor field leads to a positive-definite hamiltonian on the class of the solutions that are bounded at the time infinity (plane waves). Only the longitudinal waves contribute to the energy and...
1994-07-13
2010-01-05
[ "hep-th" ]
L.V. Avdeev and M.V.Chizhov
hep-th/9407063
The Strength of Non-Perturbative Effects in Matrix Models and String Effective Lagrangians
We present a summary of the results of an explicit calculation of the strength of non-perturbative interactions in matrix models and string effective Lagrangians. These interactions are induced by single eigenvalue instantons in the $d=1$ bosonic matrix model. A well defined approximation scheme is used to obtain induc...
1994-07-13
2007-05-23
[ "hep-th" ]
R. Brustein, M. Faux and B. Ovrut
hep-th/9407066
Algebra of potentials of the volume-preserving vector fields
The algebra of volume-preserving vector fields is considered. The potentials for that fields are introduced, and induced algebra of potentials is considered. It is shown, that this algebra fails to satisfy the Jacoby identity. Analogy with hamiltonian mechanics is developed, as well as 3-cocycle interpretation of corre...
1994-07-13
2007-05-23
[ "hep-th" ]
R.L. Mkrtchyan
hep-th/9407064
Heat kernels and thermodynamics in Rindler space
We point out that using the heat kernel on a cone to compute the first quantum correction to the entropy of Rindler space does not yield the correct temperature dependence. In order to obtain the physics at arbitrary temperature one must compute the heat kernel in a geometry with different topology (without a conical s...
1994-07-13
2010-11-01
[ "hep-th", "gr-qc" ]
R. Emparan
hep-th/9407073
The Multisite Antiferromagnetic Ising Spin Model and Universality of Feigenbaum Constants
The Feigenbaum constants $\alpha$ and $\delta$ for the three-site antiferromagnetic Ising spin model on Husimi tree are calculated. It is shown that the numerical values of these constants for this real physical system coincide with the famous universal Feigenbaum constants with high accuracy. The quantitative descript...
1994-07-13
2008-02-03
[ "hep-th", "chao-dyn", "nlin.CD" ]
N.S.Ananikian, R.R.Lusiniants, K.A.Oganessyan (Yerevan Physics Institute, Alikhanian Br.2, 375036, Yerevan, Armenia)
hep-th/9407070
Three-dimensional BF Theories and the Alexander-Conway Invariant of Knots
We study 3-dimensional BF theories and define observables related to knots and links. The quantum expectation values of these observables give the coefficients of the Alexander-Conway polynomial.
1994-07-13
2016-09-06
[ "hep-th", "alg-geom", "math.QA" ]
A. S. Cattaneo, P. Cotta-Ramusino, M. Martellini
hep-th/9407059
Quantization of a relativistic particle on the SL(2,R) manifold based on Hamiltonian reduction
A quantum theory is constructed for the system of a relativistic particle with mass m moving freely on the SL(2,R) group manifold. Applied to the cotangent bundle of SL(2,R), the method of Hamiltonian reduction allows us to split the reduced system into two coadjoint orbits of the group. We find that the Hilbert space ...
1994-07-12
2009-10-28
[ "hep-th" ]
G. Jorjadze L. O'Raifeartaigh I. Tsutsui
hep-th/9407060
On the infrared limit of the Chern-Simons-Proca theory
We investigate a modification of the 2+1 dimensional abelian Chern-Simons theory, obtained by adding a Proca mass term to the gauge field. We are particularly interested in the infrared limit, which can be described by two {\it a priori} different "topological" quantum mechanical models. We apply methods of equivariant...
1994-07-12
2009-10-28
[ "hep-th" ]
A.J. Niemi and V.V. Sreedhar
hep-th/9407061
BRST-Antibracket Cohomology in 2D Conformal Gravity
We present results of a computation of the BRST-antibracket cohomology in the space of local functionals of the fields and antifields for a class of 2d gravitational theories which are conformally invariant at the classical level. In particular all classical local action functionals, all candidate anomalies and all BRS...
1994-07-12
2007-05-23
[ "hep-th" ]
Friedemann Brandt, Walter Troost and Antoine Van Proeyen
hep-th/9407058
Non-critical String Field Theory with Non-orientable String Interactions
We study the non-critical string field theory with non-orientable string interactions by using the transfer matrix formalism in the dynamical triangulation. For any value of $c$ (total central charge of matter), we have constructed the non-orientable string field theory at the discrete level. Two coupling constants $G$...
1994-07-12
2009-10-28
[ "hep-th" ]
Yoshiyuki Watabiki
hep-th/9407054
An Uqp(u2) Model for Rotational Bands of Nuclei
A rotational model is developed from a new version of the two-parameter quantum algebra $U_{qp}({\rm u}_2)$. This model is applied to the description of some recent experimental data for the rotating superdeformed nuclei $^{192-194-196-198}{\rm Pb}$ and $^{192-194 }{\rm Hg}$. A comparison between the $U_{qp}({\rm u}_2)...
1994-07-11
2009-10-28
[ "hep-th", "nucl-th" ]
R. Barbier, J. Meyer and M. Kibler
hep-th/9407053
$q$-Deformed Chern Characters for Quantum Groups $SU_{q}(N)$
In this paper, we introduce an $N\times N$ matrix $\epsilon^{a\bar{b}}$ in the quantum groups $SU_{q}(N)$ to transform the conjugate representation into the standard form so that we are able to compute the explicit forms of the important quantities in the bicovariant differential calculus on $SU_{q}(N)$, such as the $q...
1994-07-11
2008-11-26
[ "hep-th", "math.QA" ]
Bo-Yu Hou (Northwest University, Xi'an China), Bo-Yuan Hou (Chinese Academy of Sciences, Beijing, China), and Zhong-Qi Ma (Institute of High Energy Physics, Beijing, China)
hep-th/9407057
Integrable highest weight modules over affine superalgebras and number theory
In the first part of the paper we give the denominator identity for all simple finite-dimensional Lie super algebras $\frak g\/$ with a non-degenerate invariant bilinear form. We give also a character and (super) dimension formulas for all finite-dimensional irreducible $\frak g\/$-modules of atypicality $\leq 1\/$ . I...
1994-07-11
2008-02-03
[ "hep-th", "math.NT", "math.QA", "math.RT" ]
Victor G. Kac, Minoru Wakimoto
hep-th/9407055
On the Classification of Diagonal Coset Modular Invariants
We relate in a novel way the modular matrices of GKO diagonal cosets without fixed points to those of WZNW tensor products. Using this we classify all modular invariant partition functions of $su(3)_k\oplus su(3)_1/su(3)_{k+1}$ for all positive integer level $k$, and $su(2)_k\oplus su(2)_\ell/su(2)_{k+\ell}$ for all $k...
1994-07-11
2009-10-28
[ "hep-th" ]
Terry Gannon and Mark A. Walton
hep-th/9407052
On the Nonlinear Realization of the Superconformal Symmetry
The nonlinear realization of the superconformal symmetry in two dimensions is considered. The superconformal symmetry is realized by means of dimension $-1/2$\ Nambu-Goldstone fermion $\xi$\ and its dimension 3/2 conjugate $\eta$. A matter coupling of these Nambu- Goldstone fermions reproduce the realization found by B...
1994-07-11
2009-10-28
[ "hep-th" ]
Hiroshi Kunitomo
hep-th/9407056
Hamiltonian Light-Front Field Theory and Quantum Chromodynamics
Light-front coordinates offer a scenario in which a constituent picture of hadron structure can emerge from QCD, after several difficulties are addressed. Field theoretic difficulties force us to introduce cutoffs that violate Lorentz covariance and gauge invariance, and a new renormalization group formalism based on a...
1994-07-11
2008-02-03
[ "hep-th", "hep-ph", "nucl-th" ]
Robert J. Perry (The Ohio State University)
hep-th/9407048
Effect of rotation symmetry to abelian Chern-Simons field theory and anyon equation on a sphere
We analyze the Chern-Simons field theory coupled to non-relativistic matter field on a sphere using canonical transformation on the fields with special attention to the role of the rotation symmetry: SO(3) invariance restricts the Hilbert space to the one with a definite number of charges and dictates Dirac quantizatio...
1994-07-09
2010-11-01
[ "hep-th" ]
N. W. Park, Chaiho Rim and D. S. Soh
hep-th/9407047
Spherical functions on affine Lie groups
We describe vector valued conjugacy equivariant functions on a group K in two cases -- K is a compact simple Lie group, and K is an affine Lie group. We construct such functions as weighted traces of certain intertwining operators between representations of K. For a compact group $K$, Peter-Weyl theorem implies that ...
1994-07-09
2008-02-03
[ "hep-th", "math.QA" ]
Pavel Etingof, Igor Frenkel, and Alexander Kirillov Jr
hep-th/9407045
The general classical solution of the superparticle
The theory of vectors and spinors in 9+1 dimensional spacetime is introduced in a completely octonionic formalism based on an octonionic representation of the Clifford algebra $\Cl(9,1)$. The general solution of the classical equations of motion of the CBS superparticle is given to all orders of the Grassmann hierarchy...
1994-07-08
2009-10-28
[ "hep-th" ]
J\"org Schray
hep-th/9407046
Solvable RSOS models based on the dilute BWM algebra
In this paper we present representations of the recently introduced dilute Birman-Wenzl-Murakami algebra. These representations, labelled by the level-$l$ B$^{(1)}_n$, C$^{(1)}_n$ and D$^{(1)}_n$ affine Lie algebras, are Baxterized to yield solutions to the Yang-Baxter equation. The thus obtained critical solvable mo...
1994-07-08
2011-07-19
[ "hep-th" ]
Uwe Grimm and S. Ole Warnaar
hep-th/9407049
Modular Symmetries, Threshold Corrections And Moduli For $Z_2 \times Z_2 $ Orbifolds
${\bf Z}_2\times {\bf Z}_2$ Coxeter orbifolds are constructed with the property that some twisted sectors have fixed planes for which the six-torus can not be decomposed into a direct sum ${\bf T}^2\bigoplus{\bf T}^4 $ with the fixed plane lying in ${\bf T}^2$. The string loop threshold corrections to the gauge couplin...
1994-07-08
2015-06-26
[ "hep-th" ]
D. Bailin, A. Love, W. A. Sabra and S. Thomas
hep-th/9407051
Non-linear electromagnetic interactions in thermal QED
We examine the behavior of the non-linear interactions between electromagnetic fields at high temperature. It is shown that, in general, the log(T) dependence on the temperature of the Green functions is simply related to their UV behavior at zero-temperature. We argue that the effective action describing the nonlinear...
1994-07-08
2010-11-01
[ "hep-th" ]
Fernando T. Brandt and Josif Frenkel
hep-th/9407050
Point Group Invariants in the $U_{qp}(u(2))$ Quantum Algebra Picture
Some consequences of a $qp$-quantization of a point group invariant developed in the enveloping algebra of $SU(2)$ are examined in the present note. A set of open problems concerning such invariants in the $U_{qp}(u(2))$ quantum algebra picture is briefly discussed.
1994-07-08
2015-06-26
[ "hep-th" ]
M. Kibler
hep-th/9407044
The Paradigm of Pseudodual Chiral Models
This is a synopsis and extension of Phys.~Rev.~{\em D49} 5408 (1994). The Pseudodual Chiral Model illustrates 2-dimensional field theories which possess an infinite number of conservation laws but also allow particle production, at variance with naive expectations---a folk theorem of integrable models. We monitor the s...
1994-07-07
2007-05-23
[ "hep-th" ]
C. Zachos and T. Curtright
hep-th/9407039
Towards Quantum Cosmology without Singularities
In this paper we investigate the vanishing of cosmological singularities by quantization. Starting from a 5d Kaluza--Klein approach we quantize, as a first step, the non--spherical metric part and the dilaton field. These fields which are classically singular become smooth after quantization. In addition, we argue that...
1994-07-07
2009-10-28
[ "hep-th", "gr-qc" ]
K. Behrndt, T.T. Burwick
hep-th/9407042
Equivariant Kaehler Geometry and Localization in the G/G Model
We analyze in detail the equivariant supersymmetry of the $G/G$ model. In spite of the fact that this supersymmetry does not model the infinitesimal action of the group of gauge transformations, localization can be established by standard arguments. The theory localizes onto reducible connections and a careful evaluati...
1994-07-07
2009-10-28
[ "hep-th" ]
Matthias Blau and George Thompson
hep-th/9407041
Quadratic Poisson brackets compatible with an algebra structure
Quadratic Poisson brackets on a vector space equipped with a bilinear multiplication are studied. A notion of a bracket compatible with the multiplication is introduced and an effective criterion of such compatibility is given. Among compatible brackets, a subclass of coboundary brackets is described, and such brackets...
1994-07-07
2009-10-28
[ "hep-th", "math.QA" ]
A. A. Balinsky and Yu. Burman
hep-th/9407043
Dynamical R-Matrices for Integrable Maps
The integrability of two symplectic maps, that can be considered as discrete-time analogs of the Garnier and Neumann systems is established in the framework of the $r$-matrix approach, starting from their Lax representation. In contrast with the continuous case, the $r$-matrix for such discrete systems turns out to be ...
1994-07-07
2009-10-28
[ "hep-th", "nlin.SI", "solv-int" ]
O.Ragnisco
hep-th/9407040
Strong Phase Correlations of Solitons of Nonlinear Schr\"odinger Equation
We discuss the possibility to suppress the collapse in the nonlinear 2+1 D Schr\"odinger equation by using the gauge theory of strong phase correlations. It is shown that invariance relative to $q$-deformed Hopf algebra with deformation parameter $q$ being the fourth root of unity makes the values of the Chern-Simons t...
1994-07-07
2016-09-06
[ "hep-th" ]
A. G. Litvak, V. A. Mironov, and A. P. Protogenov
hep-th/9407035
SL(2,R) Yang-Mills theory on a circle
The kinematics of SL(2,R) Yang-Mills theory on a circle is considered, for reasons that are spelled out. The gauge transformations exhibit hyperbolic fixed points, and this results in a physical configuration space with a non-Hausdorff "network" topology. The ambiguity encountered in canonical quantization is then much...
1994-07-06
2015-06-26
[ "hep-th" ]
I. Bengtsson and J. Hallin
hep-th/9407038
On the constrained KP hierarchy
An explanation for the so-called constrained hierarhies is presented by linking them with the symmetries of the KP hierarchy. While the existence of ordinary symmetries (belonging to the hierarchy) allows one to reduce the KP hierarchy to the KdV hierarchies, the existence of additional symmetries allows to reduce KP t...
1994-07-06
2009-10-28
[ "hep-th" ]
L.A.Dickey
hep-th/9407036
Nonlinear interaction between electromagnetic fields at high temperature
The electron-positron `box' diagram produces an effective action which is fourth order in the electromagnetic field. We examine the behaviour of this effective action at high-temperature (in analytically continued imaginary-time thermal perturbation theory). We argue that there is a finite, nonzero limit as $T\rightarr...
1994-07-06
2010-11-01
[ "hep-th", "hep-ph" ]
Fernando T. Brandt, Josif Frenkel and John C. Taylor
hep-th/9407031
Combinatorics of Boundaries in String Theory
We investigate the possibility that stringy nonperturbative effects appear as holes in the world-sheet. We focus on the case of Dirichlet string theory, which we argue should be formulated differently than in previous work, and we find that the effects of boundaries are naturally weighted by $e^{-O(1/g_{\rm st})}$.
1994-07-06
2009-10-09
[ "hep-th" ]
Joseph Polchinski
hep-th/9407034
On the Schwinger-Dyson Equations for a Vertex Model Coupled to 2D Gravity
We consider a two matrix model with gaussian interaction involving the term $tr ABAB$, which is quartic in angular variables. It describes a vertex model (in particular case - of F-model type) on the lattice of fluctuating geometry and is the simplest representative of the class of matrix models describing coupling to ...
1994-07-06
2016-09-06
[ "hep-th" ]
Al. Kavalov
hep-th/9407033
Action-Angle Variables for Complex Projective Space and Semiclassical Exactness
We construct the action-angle variables of a classical integrable model defined on complex projective phase space and calculate the quantum mechanical propagator in the coherent state path integral representation using the stationary phase approximation. We show that the resulting expression for the propagator coincide...
1994-07-06
2015-06-26
[ "hep-th" ]
Phillial Oh and Myung-Ho Kim
hep-th/9407037
Lagrangian Formalism Over Graded Algebras
This paper provides a description of an algebraic setting for the Lagrangian formalism over graded algebras and is intended as the necessary first step towards the noncommutative C-spectral sequence (variational bicomplex). A noncommutative version of integration procedure, the notion of adjoint operator, Green's formu...
1994-07-06
2008-02-03
[ "hep-th", "alg-geom", "dg-ga", "math.AG", "math.DG", "nlin.SI", "solv-int" ]
Alexander Verbovetsky
hep-th/9407025
Superstrings and Manifolds of Exceptional Holonomy
The condition of having an $N=1$ spacetime supersymmetry for heterotic string leads to 4 distinct possibilities for compactifications namely compactifications down to 6,4,3 and 2 dimensions. Compactifications to 6 and 4 dimensions have been studied extensively before (corresponding to $K3$ and a Calabi-Yau threefold re...
1994-07-05
2010-11-01
[ "hep-th" ]
S.L. Shatashvili and C. Vafa
hep-th/9407030
Radiative Corrections in Nonrelativistic Chern-Simons Theory
We present the one-loop scalar field effective potential for the $N=2$ supersymmetric nonrelativistic self-interacting matter fields coupled to an Abelian Chern-Simons gauge field and for its generalization when bosonic matter fields are coupled to non-Abelian Chern-Simons field. In both models, Gauss's law linearly re...
1994-07-05
2007-05-23
[ "hep-th" ]
D. Caenepeel and M. Leblanc
hep-th/9407029
Mass Generation for Gauge Fields without Scalars
We present an alternative to the Higgs mechanism to generate masses for non-abelian gauge fields in (3+1)-dimensions. The initial Lagrangian is composed of a fermion with current-current and dipole-dipole type self-interactions minimally coupled to non-abelian gauge fields. The mass generation occurs upon the fermionic...
1994-07-05
2007-05-23
[ "hep-th" ]
D. Caenepeel and M. Leblanc
hep-th/9407022
Smooth Non-Abelian Bosonization
We present an extension of ``smooth bosonization'' to the non-Abelian case. We construct an enlarged theory containing both bosonic and fermionic fields which exhibits a local chiral gauge symmetry. A gauge fixing function depending on one real parameter allows us to interpolate smoothly between a purely fermionic and ...
1994-07-05
2009-10-28
[ "hep-th" ]
P.H. Damgaard and R. Sollacher
hep-th/9407020
Canonical BF-type Topological Field Theory and Fractional Statistics of Strings
We consider BF-type topological field theory coupled to non-dynamical particle and string sources on spacetime manifolds of the form $\IR^1\times\MT$, where $\MT$ is a 3-manifold without boundary. Canonical quantization of the theory is carried out in the Hamiltonian formalism and explicit solutions of the Schr\"odinge...
1994-07-05
2009-10-28
[ "hep-th" ]
Mario Bergeron, Gordon W. Semenoff and Richard J. Szabo
hep-th/9407032
$U_q osp(2,2)$ Lattice Models
In this paper I construct lattice models with an underlying $U_q osp(2,2)$ superalgebra symmetry. I find new solutions to the graded Yang-Baxter equation. These {\it trigonometric} $R$-matrices depend on {\it three} continuous parameters, the spectral parameter, the deformation parameter $q$ and the $U(1)$ parameter, $...
1994-07-05
2009-10-28
[ "hep-th" ]
Ziad Maassarani
hep-th/9407026
String Field Theory of Two Dimensional QCD on a Cylinder: A Realization of W-infinity Current Algebra
We consider 2-dimensional QCD on a cylinder, where space is a circle of length $L$. We formulate the theory in terms of gauge-invariant gluon operators and multiple-winding meson (open string) operators. The meson bilocal operators satisfy a $W_\infty$ current algebra. The gluon sector (closed strings) contains purely ...
1994-07-05
2010-11-01
[ "hep-th" ]
Avinash Dhar, Porus Lakdawala, Gautam Mandal and Spenta R. Wadia
hep-th/9407027
Convergence of Scaled Delta Expansion: Anharmonic Oscillator
We prove that the linear delta expansion for energy eigenvalues of the quantum mechanical anharmonic oscillator converges to the exact answer if the order dependent trial frequency $\Omega$ is chosen to scale with the order as $\Omega=CN^\gamma$; $1/3<\gamma<1/2$, $C>0$ as $N\rightarrow\infty$. It converges also for $\...
1994-07-05
2015-06-26
[ "hep-th", "hep-ph" ]
Riccardo Guida, Kenichi Konishi and Hiroshi Suzuki
hep-th/9407021
On Target-Space Duality in p-Branes
We study the target-space duality transformations in $p$--branes as transformations which mix the worldvolume field equations with Bianchi identities. We consider an $(m+p+1)$-dimensional spacetime with $p+1$ dimensions compactified, and a particular form of the background fields. We find that while a $GL(2)=SL(2)\time...
1994-07-05
2015-06-26
[ "hep-th" ]
R. Percacci and E. Sezgin
hep-th/9407023
More on the Subtraction Algorithm
We go on in the program of investigating the removal of divergences of a generical quantum gauge field theory, in the context of the Batalin-Vilkovisky formalism. We extend to open gauge-algebrae a recently formulated algorithm, based on redefinitions $\delta\lambda$ of the parameters $\lambda$ of the classical Lagrang...
1994-07-05
2010-04-06
[ "hep-th" ]
Damiano Anselmi
hep-th/9407024
Some remarks on the Gauss decomposition for quantum group GL_q(n)
In this letter some properties of the Gauss decomposition of quantum group $GL_q(n)$ with application to q-bosonization are considered.
1994-07-05
2009-10-28
[ "hep-th", "math.QA" ]
E. V. Damaskinsky and M. A. Sokolov
hep-th/9407019
Heat Kernel for Spin-3/2 Rarita-Schwinger Field in General Covariant Gauge
The heat kernel for the spin-3/2 Rarita-Schwinger gauge field on an arbitrary Ricci flat space-time ($d>2$) is investigated in a family of covariant gauges with one gauge parameter $\alpha$. The $\alpha$-dependent term of the kernel is expressed by the spin-1/2 heat kernel. It is shown that the axial anomaly and the on...
1994-07-05
2010-04-06
[ "hep-th", "gr-qc" ]
Ryusuke Endo
hep-th/9407028
The Nielsen Identities for the Two-Point Functions of QED and QCD
We consider the Nielsen identities for the two-point functions of full QCD and QED in the class of Lorentz gauges. For pedagogical reasons the identities are first derived in QED to demonstrate the gauge independence of the photon self-energy, and of the electron mass shell. In QCD we derive the general identity and he...
1994-07-05
2009-10-28
[ "hep-th" ]
J.C. Breckenridge, M.J. Lavelle and T.G. Steele
hep-th/9407015
Boundary Dynamics in Dilaton Gravity
We study the dynamics of the boundary dilaton gravity coupled to N massles scalars. We rederive the boundary conditions of [1] and [3] in a way which makes the requirement of reparametrization invariance and role of conformal anomaly explicit. We then study the semiclassical behaviour of the boundary in the N = 24 theo...
1994-07-04
2015-06-26
[ "hep-th" ]
Sumit R. Das and Sudipta Mukherji
hep-th/9407018
Geometry of 2d topological field theories
These lecture notes are devoted to the theory of equations of associativity describing geometry of moduli spaces of 2D topological field theories. Introduction. Lecture 1. WDVV equations and Frobenius manifolds. {Appendix A.} Polynomial solutions of WDVV. {Appendix B.} Symmetriies of WDVV. Twisted Frobenius manifolds. ...
1994-07-04
2008-02-03
[ "hep-th", "math.QA" ]
Boris Dubrovin
hep-th/9407014
A modified c=1 matrix model with new critical behavior
By introducing a $\int dt \, g\left(\Tr \Phi^2(t)\right)^2$ term into the action of the $c=1$ matrix model of two-dimensional quantum gravity, we find a new critical behavior for random surfaces. The planar limit of the path integral generates multiple spherical ``bubbles'' which touch one another at single points. At ...
1994-07-04
2009-10-28
[ "hep-th" ]
Steven S. Gubser and Igor R. Klebanov
hep-th/9407013
On the quantum symmetry of rational field theories
We describe the role of Rational Hopf Algebras as the symmetries of rational field theories and discuss their relation with algebraic field theory, braided monoidal categories and modular fusion rule algebras.
1994-07-04
2014-12-11
[ "hep-th" ]
J. Fuchs, A. Ganchev, P. Vecsernyes
hep-th/9407017
Two-Matrix String Model as Constrained (2+1)-Dimensional Integrable System
We show that the 2-matrix string model corresponds to a coupled system of $2+1$-dimensional KP and modified KP ($\KPm$) integrable equations subject to a specific ``symmetry'' constraint. The latter together with the Miura-Konopelchenko map for $\KPm$ are the continuum incarnation of the matrix string equation. The $\K...
1994-07-04
2009-10-28
[ "hep-th", "nlin.SI", "solv-int" ]
H. Aratyn, E. Nissimov, S. Pacheva and A.H. Zimerman
hep-th/9407016
TQFT versus RCFT: 3-d topological invariants
A straightforward relationship between the two approaches to 3-dimensional topological invariants, one of them put forward by Witten in the framework of topological quantum field theory, and the second one proposed by Kohno in terms of rational conformal field theory, is established.
1994-07-04
2009-10-28
[ "hep-th", "math.QA" ]
Boguslaw Broda
hep-th/9407010
On algebraic equations satisfied by hypergeometric correlators in WZW models. II
We give an explicit description of "bundles of conformal blocks" in Wess-Zumino-Witten models of Conformal field theory and prove that integral representations of Knizhnik-Zamolodchikov equations constructed earlier by the second and third authors are in fact sections of these bundles.
1994-07-03
2009-10-28
[ "hep-th" ]
Boris Feigin, Vadim Schechtman, Alexander Varchenko
hep-th/9407011
Why Do We Live in 3+1 Dimensions?
Noticing that really the fermions of the Standard Model are best thought of as Weyl - rather than Dirac - particles (relative to fundamental scales located at some presumably very high energies) it becomes interesting that the experimental space-time dimension is singled out by the Weyl equation: It is observed that pr...
1994-07-03
2009-09-25
[ "hep-th" ]
Holger Bech Nielsen and Svend Erik Rugh