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hep-th/9306012
qQCD$_2$ and G/G model
The 2D lattice gauge theory with a quantum gauge group $SL_q(2)$ is considered. When $q=e^{i\frac{2\pi}{k+2}}$, its weak coupling partition function coincides with the one of the G/G coset model ({\em i.e.} equals the Verlinde numbers). However, despite such a remarkable coincidence, these models are not equivalent but...
1993-06-02
2009-10-22
[ "hep-th" ]
D.Boulatov
hep-th/9306013
Two Dimensional QCD coupled to Adjoint Matter and String Theory
We study $2d$ QCD coupled to fermions in the adjoint representation of the gauge group $SU(N)$ at large $N$, and its relation to string theory. It is shown that the model undergoes a deconfinement transition at a finite temperature (analogous to the Hagedorn transition in string theory), with certain winding modes in t...
1993-06-02
2009-10-22
[ "hep-th" ]
David Kutasov
hep-th/9306002
Boundary S-Matrix and Boundary State in Two-Dimensional Integrable Quantum Field Theory
We study integrals of motion and factorizable S-matrices in two-dimensional integrable field theory with boundary. We propose the ``boundary cross-unitarity equation'' which is the boundary analog of the cross-symmetry condition of the ``bulk'' S-matrix. We derive the boundary S-matrices for the Ising field theory with...
1993-06-02
2009-10-22
[ "hep-th" ]
Subir Ghoshal and Alexander Zamolodchikov
hep-th/9306011
Sets and C^n; Quivers and A-D-E; Triality; Generalized Supersymmetry; and D4-D5-E6
The relation between Geisteswissenschaft and Naturwissenschaft has been discussed by Munster in hep-th/9305104. The plan of this paper is to begin with the empty set; use it to form sets and quivers (sets of points plus sets of arrows between pairs of points); and then use them to make complex vector spaces and to get ...
1993-06-02
2007-05-23
[ "hep-th" ]
F. D. T. Smith
hep-th/9306010
Heisenberg realization for U_q(sln) on the flag manifold
We give the Heisenberg realization for the quantum algebra $U_q(sl_n)$, which is written by the $q$-difference operator on the flag manifold. We construct it from the action of $U_q(sl_n)$ on the $q$-symmetric algebra $A_q(Mat_n)$ by the Borel-Weil like approach. Our realization is applicable to the construction of the...
1993-06-02
2009-10-22
[ "hep-th" ]
H. Awata, M. Noumi and S. Odake
hep-th/9306015
Ordinary and Dilatonic Domain Walls: Solutions and Induced Space-Times
Recent developments in unifying treatment of domain wall configurations and their global space-time structure is presented. Domain walls between vacua of non-equal cosmological constant fall in three classes depending on the value of their energy density $\sigma$: (i) extreme walls with $\sigma=\sigma_{ext}$ are planar...
1993-06-02
2009-09-25
[ "hep-th", "gr-qc", "hep-ph" ]
Mirjam Cvetic
hep-th/9306014
Large N QCD at High Energies as Two-Dimensional Field Theory
Different aspects of the Verlinde and Verlinde relation between high-energy effective scattering in QCD and a two-dimensional sigma-model are discussed. Starting from a lattice version of the truncated 4-dimensional Yang-Mills action we derive an effective theory with non-trivial longitudinal dynamics which has a form ...
1993-06-01
2009-10-22
[ "hep-th" ]
I.Ya. Aref'eva
hep-th/9306005
Yang-Baxter equation, symmetric functions and Grothendieck polynomials
New development of the theory of Grothendieck polynomials, based on an exponential solution of the Yang-Baxter equation in the algebra of projectors are given.
1993-06-01
2008-02-03
[ "hep-th", "math.QA" ]
Sergey Fomin and Anatol N. Kirillov
hep-th/9306003
Weiss-approach to pair of coupled non-linear reaction-diffusion equations
We consider a pair of coupled non-linear partial differential equations describing a biochemical model system. The Weiss-algorithm for the Painle\'{e} test, that has been succesfully used in mathematical physics for the KdV-equation, Burgers equation, the sine-Gordon equation etc., is applied, and we find that the syst...
1993-06-01
2016-09-06
[ "hep-th" ]
A.L. Larsen
hep-th/9306001
Mass Formulae of 4-Dimensional Dilaton Black Holes
Integral and differential mass formulae of 4-dimensional stationary and axisymmetric Einstein-Maxwell-dilaton systems are derived. The total mass (energy) of these systems are expressed in terms of other physical quantities such as electric charge of the black hole suitably modified due to the existence of the dilaton ...
1993-06-01
2010-04-06
[ "hep-th" ]
Tadashi Okai
hep-th/9306007
Transport Properties of Solitons
We calculate in this article the transport coefficients which characterize the dynamics of solitons in quantum field theory using the methods of dissipative quantum systems. We show how the damping and diffusion coefficients of soliton-like excitations can be calculated using the integral functional formalism. The mode...
1993-06-01
2009-10-22
[ "hep-th", "cond-mat", "nucl-th" ]
A.H.Castro Neto and A.O.Caldeira
hep-th/9306006
Non-abelian vortices and non-abelian statistics
We study the interactions of non-abelian vortices in two spatial dimensions. These interactions have novel features, because the Aharonov-Bohm effect enables a pair of vortices to exchange quantum numbers. The cross section for vortex-vortex scattering is typically a multi-valued function of the scattering angle. There...
1993-06-01
2009-10-22
[ "hep-th", "cond-mat" ]
Hoi-Kwong Lo and John Preskill
hep-th/9306009
Generalized quantum dynamics
We propose a generalization of Heisenberg picture quantum mechanics in which a Lagrangian and Hamiltonian dynamics is formulated directly for dynamical systems on a manifold with non--commuting coordinates, which act as operators on an underlying Hilbert space. This is accomplished by defining the Lagrangian and Hamilt...
1993-06-01
2010-11-01
[ "hep-th" ]
Stephen L. Adler
hep-th/9306004
The statistics transmuting Chern-Simons field and the braid group on Riemann surfaces of genus g>0
We study bosons interacting with an abelian Chern-Simons field on Riemann surfaces of genus $g>0$. It is shown that a singular gauge transformation brings the hamiltonian to free form. The transformed wave functions furnish a multi-component representation of the braid group studied by Imbo and March-Russell. The const...
1993-06-01
2015-06-26
[ "hep-th" ]
Ansar Fayyazuddin
hep-th/9306008
Quantum Gauge Equivalence in QED
We discuss gauge transformations in QED coupled to a charged spinor field, and examine whether we can gauge-transform the entire formulation of the theory from one gauge to another, so that not only the gauge and spinor fields, but also the forms of the operator-valued Hamiltonians are transformed. The discussion inclu...
1993-06-01
2010-11-01
[ "hep-th" ]
K. Haller and E. Lim-Lombridas
hep-th/9305186
Gauge Independent Phase Structure of Gauged Nambu-Jona-Lasinio and Yukawa Models
We investigate the critical behavior of the gauged NJL model (QED plus 4-fermion interaction) and the gauged Yukawa model by use of the inversion method. By calculating the gauge-invariant chiral condensate in the inversion method to the lowest order, we derive the critical line which separates the spontaneous chiral...
1993-06-01
2015-06-26
[ "hep-th", "hep-lat" ]
K.-I. Kondo
hep-th/9305183
Finite-Dimensional Representations of the Quantum Superalgebra U$_{q}$[gl(2/2)]: I. Typical representations at generic $q$
In the present paper we construct all typical finite-dimensional representations of the quantum Lie superalgebra $U_{q}[gl(2/2)]$ at generic deformation parameter $q$. As in the non-deformed case the finite-dimensional $U_{q}[gl(2/2)]$-module $W^{q}$ obtained is irreducible and can be decomposed into finite-dimensional...
1993-05-31
2009-10-22
[ "hep-th", "math.QA" ]
Nguyen Anh Ky
hep-th/9305184
Generalized Ray-Singer conjecture. I. A manifold with a smooth boundary
This paper is devoted to a proof of a generalized Ray-Singer conjecture for a manifold with boundary (the Dirichlet and the Neumann boundary conditions are independently given on each connected component of the boundary and the transmission boundary condition is given on the interior boundary). The Ray-Singer conjectur...
1993-05-31
2008-02-03
[ "hep-th", "math.DG" ]
Simeon Vishik
hep-th/9305181
Antibrackets and localization of (path) integrals
The transparent way for the invariant (Hamiltonian) description of equivariant localization of the integrals over phase space is proposed. It uses the odd symplectic structure, constructed over tangent bundle of the phase space and permits straightforward generalization for the path integrals. Simultaneously the method...
1993-05-31
2014-11-18
[ "hep-th" ]
A. P. Nersessian
hep-th/9305185
Duality Symmetries of 4D Heterotic Strings
Target space duality (T duality), which interchanges Kaluza--Klein and winding-mode excitations of the compactified heterotic string, is realized as a symmetry of a world-sheet action. Axion-dilaton duality (S duality), a conjectured nonperturbative SL(2,Z) symmetry of the same theory, plays an analogous role for five-...
1993-05-31
2009-09-15
[ "hep-th" ]
John H. Schwarz and Ashoke Sen
hep-th/9305182
On Solvable Lattice Models and Knot Invariants
Recently, a class of solvable interaction round the face lattice models (IRF) were constructed for an arbitrary rational conformal field theory (RCFT) and an arbitrary field in it. The Boltzmann weights of the lattice models are related in the extreme ultra violet limit to the braiding matrices of the rational conforma...
1993-05-31
2008-02-03
[ "hep-th", "alg-geom", "math.QA" ]
Doron Gepner (Caltech and Weizmann Institute)
hep-th/9305180
Roots of Unity: Representations of Quantum Groups
Representations of Quantum Groups U_q (g_n), g_n any semi simple Lie algebra of rank n, are constructed from arbitrary representations of rank n-1 quantum groups for q a root of unity. Representations which have the maximal dimension and number of free parameters for irreducible representations arise as special cases.
1993-05-31
2009-10-22
[ "hep-th", "math.QA" ]
Wolfgang A. Schnizer (RIMS, Kyoto)
hep-th/9305179
BRST Analysis of Physical States in Two-Dimensional Black Hole
We study the BRST cohomology for $SL(2,R)/U(1)$ coset model, which describes an exact string black hole solution. It is shown that the physical spectrum could contain not only the extra discrete states corresponding to those in $c=1$ two-dimensional gravity but also many additional new states with ghost number $N_{FP}=...
1993-05-31
2009-10-22
[ "hep-th" ]
Katsumi Itoh, Hiroshi Kunitomo, Nobuyoshi Ohta and Makoto Sakaguchi
hep-th/9305178
The energy of the high-temperature quark-gluon plasma
For the quark-gluon plasma, an energy-momentum tensor is found corresponding to the high-temperature Braaten-Pisarski effective action. The tensor is found by considering the interaction of the plasma with a weak gravitational field and the positivity of the energy is studied. In addition, the complete effective action...
1993-05-29
2009-10-22
[ "hep-th" ]
F.T. Brandt, J. Frenkel and J.C. Taylor
hep-th/9305173
Chen Integrals, Generalized Loops and Loop Calculus
We use Chen iterated line integrals to construct a topological algebra ${\cal A}_p$ of separating functions on the {\it Group of Loops} ${\bf L}{\cal M}_p$. ${\cal A}_p$ has an Hopf algebra structure which allows the construction of a group structure on its spectrum. We call this topological group, the group of general...
1993-05-29
2015-06-26
[ "hep-th" ]
J. N. Tavares
hep-th/9305174
The BRST formulation of G/H WZNW models
We consider a BRST approach to G/H coset WZNW models, {\it i.e.} a formulation in which the coset is defined by a BRST condition. We will give the precise ingrediences needed for this formulation. Then we will prove the equivalence of this approach to the conventional coset formulation by solving the the BRST cohomolog...
1993-05-29
2011-07-19
[ "hep-th" ]
Stephen Hwang and Henric Rhedin
hep-th/9305177
On the model of the relativistic particle with curvature and torsion
Two integrals along the world trajectory of its curvature and torsion are added to the standard action for the point-like spinless relativistic particle. Since here the three-dimensional space-time is considered at the beginning, the torsion of the world curve is defined with a sign in contrast to the previous consider...
1993-05-29
2009-10-22
[ "hep-th" ]
V.V. Nesterenko
hep-th/9305170
Transition Amplitude in 2+1 dimensional Chern-Simons Gravity on a Torus
The discussions on the modular invariance in section 5 are refined.
1993-05-29
2009-10-22
[ "hep-th" ]
Kiyoshi Ezawa
hep-th/9305169
Nonabelian KP hierarchy with Moyal algebraic coefficients
A higher dimensional analogue of the KP hierarchy is presented. Fundamental constituents of the theory are pseudo-differential operators with Moyal algebraic coefficients. The new hierarchy can be interpreted as large-$N$ limit of multi-component ($\gl(N)$ symmetric) KP hierarchies. Actually, two different hierarchies ...
1993-05-29
2009-10-22
[ "hep-th" ]
Kanehisa Takasaki
hep-th/9305172
Average Effective Potential for the Conformal Factor
In a four dimensional theory of gravity with lagrangian quadratic in curvature and torsion, we compute the effective action for metrics of the form $g_{\mu\nu}=\rho^2\delta_{\mu\nu}$, with $\rho$ constant. Using standard field-theoretic methods we find that one loop quantum effects produce a nontrivial effective potent...
1993-05-29
2009-10-22
[ "hep-th", "gr-qc" ]
R.Floreanini and R. Percacci
hep-th/9305171
The N to Infinity Limit of the Chiral Potts Model
We consider the N to infinity limits of the N-state chiral Potts model. We find new weights that satisfy the star-triangle relations with spin variables either taking all the integer values or having values from a continous interval. The models provide chiral generalizations of Zamolodchikov's Fishnet Model. (For the m...
1993-05-29
2011-09-15
[ "hep-th", "cond-mat", "nlin.SI", "solv-int" ]
Helen Au-Yang and Jacques H.H. Perk
hep-th/9305175
Is it possible to assign physical meaning to field theory with higher derivatives?
To overcome the difficulties with the energy indefiniteness in field theories with higher derivatives, it is supposed to use the mechanical analogy, the Timoshenko theory of the transverse flexural vibrations of beams or rods well known in mechanical engineering. It enables one to introduce the notion of a "mechanical"...
1993-05-29
2011-07-19
[ "hep-th" ]
A. M. Chervyakov and V. V. Nesterenko
hep-th/9305166
Half-String Approach to Closed String Field Theory
In this letter we present an operator formalism for Closed String Field Theory based on closed half-strings. Our results indicate that the restricted polyhedra of the classical non-polynomial string field theory, can be represented as traces of infinite matrices, with operator insertions that reparametrise the half-str...
1993-05-28
2009-10-22
[ "hep-th" ]
F. Anton, A. Abdurrahman and J. Bordes
hep-th/9305161
A Study of Anyon Statistics by Breit Hamiltonian Formalism
We study the anyon statistics of a $2 + 1$ dimensional Maxwell-Chern-Simons (MCS) gauge theory by using a systemmetic metheod, the Breit Hamiltonian formalism.
1993-05-28
2009-10-22
[ "hep-th" ]
G.L. Huang and C.R. Lee
hep-th/9305164
Stationary Solutions and Closed Time-Like Curve in 2+1 Dimensional Gravity
We give the general solution of the stationary problem of 2+1 dimensional gravity in presence of extended sources, also endowed with angular momentum. We solve explicitly the compact support property of the energy momentum tensor and we apply the results to the study of closed time-like curves. In the case of rotationa...
1993-05-28
2009-10-22
[ "hep-th", "gr-qc" ]
P. Menotti and D. Seminara
hep-th/9305176
Uniqueness of $U_q(N)$ as a quantum gauge group and representations of its differential algebra
To construct a quantum group gauge theory one needs an algebra which is invariant under gauge transformations. The existence of this invariant algebra is closely related with the existence of a differential algebra $\delta _{{\cal H}} G_{q}$ compatible with the Hopf algebra structure. It is shown that $\delta _{{\cal H...
1993-05-28
2011-07-19
[ "hep-th", "math.QA" ]
I. Ya. Aref'eva and G. E. Arutyunov
hep-th/9305159
Stochastic non de Sitter Inflation
We generalize the stochastic approach to quasi-power-law inflationary Universes,obtain the corresponding Langevin and Fokker-Planck equations for the scalar field driving inflation and find stationary solutions to the above FP equation.
1993-05-28
2009-10-22
[ "hep-th", "gr-qc" ]
Boris Spokoiny
hep-th/9305160
Affine Toda Solitons and Vertex Operators
Affine Toda theories with imaginary couplings associate with any simple Lie algebra ${\bf g}$ generalisations of Sine Gordon theory which are likewise integrable and possess soliton solutions. The solitons are \lq\lq created" by exponentials of quantities $\hat F^i(z)$ which lie in the untwisted affine Kac-Moody algebr...
1993-05-28
2008-11-26
[ "hep-th" ]
D.I. Olive, N. Turok and J.W.R. Underwood
hep-th/9305168
Zero Modes in a $c = 2$ Matrix Model
Recently \REF\dk{Simon Dalley and Igor Klebanov,'Light Cone Quantization of the $c=2$ Matrix Model', PUPT-1333, hepth@xxx/920705} \refend Dalley and Klebanov proposed a light-cone quantized study of the $c=2$ matrix model, but which ignores $k^{+}=0$ contributions. Since the non-critical string limit of the matrix mode...
1993-05-28
2011-07-19
[ "hep-th" ]
Ovid C. Jacob
hep-th/9305163
Quantum Groups, Gravity, and the Generalized Uncertainty Principle
We investigate the relationship between the generalized uncertainty principle in quantum gravity and the quantum deformation of the Poincar\'e algebra. We find that a deformed Newton-Wigner position operator and the generators of spatial translations and rotations of the deformed Poincar\'e algebra obey a deformed Heis...
1993-05-28
2013-11-13
[ "hep-th" ]
Michele Maggiore
hep-th/9305167
Unified Constrained Dynamics
The unified constrained dynamics is formulated without making use of the Dirac splitting of constraint classes. The strengthened, completely--closed, version of the unified constraint algebra generating equations is given. The fundamental phase variable supercommutators are included into the unified algebra as well. Th...
1993-05-28
2009-10-22
[ "hep-th" ]
I.A.Batalin and I.V.Tyutin
hep-th/9305165
Quantum Coherence in Two Dimensions
The formation and evaporation of two dimensional black holes are discussed. It is shown that if the radiation in minimal scalars has positive energy, there must be a global event horizon or a naked singularity. The former would imply loss of quantum coherence while the latter would lead to an even worse breakdown of pr...
1993-05-28
2009-10-22
[ "hep-th", "gr-qc" ]
S.W.Hawking & J.D.Hayward
hep-th/9305162
Lorentz-Invariant "Elements of Reality" and the Question of Joint Measurability of Commuting Observables
It is shown that the joint measurements of some physical variables corresponding to commuting operators performed on pre- and post-selected quantum systems invariably disturb each other. The significance of this result for recent proofs of the impossibility of realistic Lorentz invariant interpretation of quantum theor...
1993-05-28
2009-10-22
[ "hep-th" ]
Lev Vaidman
hep-th/9305158
Stochastic Approach to a non de Sitter Inflation
We develop a stochastic approach to a non de Sitter Universe in a gauge-invariant way and obtain a system of Langevin-type equations which may be considered to be renormalization group equations for the long wave parts of the scalar fields and metric. We investigate in detail the case of generalized power-law inflation...
1993-05-28
2008-02-03
[ "hep-th", "gr-qc" ]
Boris Spokoiny
hep-th/9305155
Canonical quantization and braid invariance of (2+1)-dimensional gravity coupled to point particles
We investigate the canonical quantization of gravity coupled to pointlike matter in 2+1 dimensions. Starting from the usual point particle action in the first order formalism, we introduce auxiliary variables which make the action locally Poincar\'e invariant. A Hamiltonian analysis shows that the gauge group is actual...
1993-05-27
2008-11-26
[ "hep-th", "gr-qc" ]
Daniel Kabat and Miguel Ortiz
hep-th/9305157
A New Spinning Membrane Lagrangian
A new local world volume supersymmetric Lagrangian for the bosonic membrane is presented. The starting Lagrangian is the one constructed by Dolan and Tchrakian with vanishing cosmological constant, with quadratic and quartic derivative terms. Our Lagrangian differs from the one constructed by Lindstrom and Rocek in the...
1993-05-27
2007-05-23
[ "hep-th" ]
Carlos Castro (I.A.E.C 1407 Alegria Austin, Texas USA)
hep-th/9305156
The Relation between the Mandelstam and the Cayley-Hamilton Identities
Starting from the characteristic polynomial for ordinary matrices we give a combinatorial deduction of the Mandelstam identities and viceversa, thus showing that the two sets of relations are equivalent. We are able to extend this construction to supermatrices in such a way that we obtain the Mandelstam identities in t...
1993-05-27
2009-10-22
[ "hep-th", "gr-qc" ]
D.E.Berenstein and L.F.Urrutia
hep-th/9305154
Crossing and Antisolitons in Affine Toda Theories
Affine Toda theory is a relativistic integrable theory in two dimensions possessing solutions describing a number of different species of solitons when the coupling is chosen to be imaginary. These nevertheless carry real energy and momentum. To each species of soliton there has to correspond an antisoliton species. Th...
1993-05-27
2009-10-22
[ "hep-th" ]
Marco A. C. Kneipp and David I. Olive
hep-th/9305152
$W_{\infty}$--Geometry and Associated Continuous Toda System
We discuss an infinite--dimensional k\"ahlerian manifold associated with the area--preserving diffeomorphisms on two--dimensional torus, and, correspondingly, with a continuous limit of the $A_r$--Toda system. In particular, a continuous limit of the $A_r$--Grassmannians and a related Pl\"ucker type formula are introdu...
1993-05-27
2009-10-22
[ "hep-th" ]
Mikhail V. Saveliev and Svetlana A. Savelieva
hep-th/9305150
Randomness and Irreversibility in Quantum Field Theory
Quantum fluctuations, through quantum corrections, have the potential to lead to irreversibility in quantum field theory. We consider the virtual ``charge" distribution generated by quantum corrections in the leading log, short range approximation, and adopt for it a statistical interpretation. This virtual charge dens...
1993-05-27
2007-05-23
[ "hep-th" ]
J. Perez-Mercader
hep-th/9305153
SU(2) Action-Angle Variables
Operator angle-action variables are studied in the frame of the SU(2) algebra, and their eigenstates and coherent states are discussed. The quantum mechanical addition of action-angle variables is shown to lead to a novel non commutative Hopf algebra. The group contraction is used to make the connection with the harmon...
1993-05-27
2007-05-23
[ "hep-th" ]
Demosthenes Ellinas
hep-th/9305151
Hopf Term, Loop Algebras and Three Dimensional Navier-Stokes Equation
The dynamics of the 3 dimensional perfect fluid is equivalent to the motion of vortex filaments or "strings". We study the action principle and find that it is described by the Hopf term of the nonlinear sigma model. The Poisson bracket structure is described by the loop algebra, for example, the Virasoro algebra or th...
1993-05-27
2014-11-18
[ "hep-th" ]
Yutaka Matsuo
hep-th/9305149
Non-abelian Harmonic Oscillators and Chiral Theories
We show that a large class of physical theories which has been under intensive investigation recently, share the same geometric features in their Hamiltonian formulation. These dynamical systems range from harmonic oscillations to WZW-like models and to the KdV dynamics on $Diff_oS^1$. To the same class belong also the...
1993-05-27
2009-10-22
[ "hep-th" ]
Z. Hasiewicz and P. Siemion
hep-th/9305148
Supersymmetric Structure of the Bosonic String Theory in the Beltrami Parametrization
We show that the bosonic string theory quantized in the Beltrami parametrization possesses a supersymmetric structure like the vector-supersymmetry already observed in topological field theories.
1993-05-26
2011-04-12
[ "hep-th" ]
M. Werneck de Oliveira, M. Schweda and S.P. Sorella REF
hep-th/9305141
The 2(2S+1)- Formalism and Its Connection with Other Descriptions
In the framework of the Joos-Weinberg 2(2S+1)- theory for massless particles, the dynamical invariants have been derived from the Lagrangian density which is considered to be a 4- vector. A la Majorana interpretation of the 6- component "spinors", the field operators of S=1 particles, as the left- and right-circularly ...
1993-05-26
2016-05-20
[ "hep-th", "hep-ph", "math-ph", "math.MP", "physics.hist-ph" ]
Valeriy V. Dvoeglazov
hep-th/9305142
Four-Dimensional String/String Duality
We present supersymmetric soliton solutions of the four-dimensional heterotic string corresponding to monopoles, strings and domain walls. These solutions admit the $D=10$ interpretation of a fivebrane wrapped around $5$, $4$ or $3$ of the $6$ toroidally compactified dimensions and are arguably exact to all orders in $...
1993-05-26
2009-10-22
[ "hep-th" ]
M. J. Duff and Ramzi R. Khuri
hep-th/9305145
Elliptic solution for modified tetrahedron equations
As is known, tetrahedron equations lead to the commuting family of transfer-matrices and provide the integrability of corresponding three-dimensional lattice models. We present the modified version of these equations which give the commuting family of more complicated two-layer transfer-matrices. In the static limit we...
1993-05-26
2014-11-18
[ "hep-th", "nlin.SI", "solv-int" ]
V. V. Mangazeev, Yu. G. Stroganov
hep-th/9305147
The graviton self-energy in thermal quantum gravity
We show generally that in thermal gravity, the one-particle irreducible 2-point function depends on the choice of the basic graviton fields. We derive the relevant properties of a physical graviton self-energy, which is independent of the parametrization of the graviton field. An explicit expression for the graviton se...
1993-05-26
2009-10-22
[ "hep-th" ]
F.T. Brandt and J. Frenkel
hep-th/9305144
Generalized Yang-Baxter Equation
A generalization of the Yang-Baxter equation is proposed. It enables to construct integrable two-dimensional lattice models with commuting two-layer transfer matrices, while single-layer ones are not necessarily commutative. Explicit solutions to the generalized equations are found. They are related with Botzmann weigh...
1993-05-26
2015-06-26
[ "hep-th" ]
R.M. Kashaev and Yu.G. Stroganov
hep-th/9305146
Free Boson Realization of $U_q(\widehat{sl_N})$
We construct a realization of the quantum affine algebra $U_q(\widehat{sl_N})$ of an arbitrary level $k$ in terms of free boson fields. In the $q\!\rightarrow\! 1$ limit this realization becomes the Wakimoto realization of $\widehat{sl_N}$. The screening currents and the vertex operators(primary fields) are also constr...
1993-05-26
2015-06-26
[ "hep-th" ]
H. Awata, S. Odake and J. Shiraishi
hep-th/9305143
A Comment on String Solitons
We derive an exact string-like soliton solution of D=10 heterotic string theory. The solution possesses $SU(2)\times SU(2)$ instanton structure in the eight-dimensional space transverse to the worldsheet of the soliton.
1993-05-26
2009-10-22
[ "hep-th" ]
Ramzi R. Khuri
hep-th/9305136
Finite Dimensional Representations of the Quantum Superalgebra $U_q[gl(3/2)]$ in a Reduced $U_q[gl(3/2)] \supset U_q[gl(3/1)] \supset U_q[gl(3)]$ Basis
For generic $q$ we give expressions for the transformations of all essentially typical finite-dimensional modules of the Hopf superalgebra $U_q[gl(3/2)]$. The latter is a deformation of the universal enveloping algebra of the Lie superalgebra $gl(3/2)$. The basis within each module is similar to the Gel'fand-Zetlin bas...
1993-05-25
2009-10-22
[ "hep-th" ]
T. D. Palev and N. I. Stoilova
hep-th/9305135
Quantum Loop Modules and Quantum Spin Chains
We construct level-0 modules of the quantum affine algebra $\Uq$, as the $q$-deformed version of the Lie algebra loop module construction. We give necessary and sufficient conditions for the modules to be irreducible. We construct the crystal base for some of these modules and find significant differences from the case...
1993-05-25
2015-06-26
[ "hep-th" ]
D. Altschuler and B. Davies
hep-th/9305126
Universal and Nonperturbative Behavior in the One-Plaquette Model of Two-Dimensional String Theory
The one-plaquette Hamiltonian of large N lattice gauge theory offers a constructive model of a $1+1$-dimensional string theory with a stable ground state. The free energy is found to be equivalent to the partition function of a string where the world sheet is discretized by even polygons with signature and the link f...
1993-05-25
2010-11-01
[ "hep-th" ]
S. Chaudhuri, H. Itoyama and T. Ooshita
hep-th/9305129
Extended Fractional Supersymmetric Quantum Mechanics
Recently, we presented a new class of quantum-mechanical Hamiltonians which can be written as the $F^{th}$ power of a conserved charge: $H=Q^F$ with $F=2,3,...\,.$ This construction, called fractional supersymmetric quantum mechanics, was realized in terms of a paragrassmann variable $\theta$ of order $F$, which satisf...
1993-05-25
2009-10-22
[ "hep-th" ]
Stephane Durand
hep-th/9305137
Variations on Kaluza-Klein Cosmology
We investigate the cosmological consequences of having quantum fields living in a space with compactified dimensions. We will show that the equation of state is not modified by topological effects and so the dynamics of the universe remains as it is in the infinite volume limit. On the contrary the thermal history of t...
1993-05-25
2010-11-01
[ "hep-th" ]
M.A.R. Osorio and M.A. Vazquez-Mozo
hep-th/9305138
String Variations on Kaluza-Klein Cosmology
We study the cosmological solutions of the two-dimensional Brans-Dicke equations considering a gas of $c=1$ strings in $S^{1}\times \mbox{\bf R}$ as the source of the gravitational field. We also study the implications of the $R$-duality invariance on the solutions. To this purpose we conjecture that, as it happens for...
1993-05-25
2008-02-03
[ "hep-th" ]
M.A.R. Osorio and M.A. Vazquez-Mozo
hep-th/9305140
A symplectic structure for the space of quantum field theories
We use the formal Lie algebraic structure in the ``space'' of hamiltonians provided by equal time commutators to define a Kirillov-Konstant symplectic structure in the coadjoint orbits of the associated formal group. The dual is defined via the natural pairing between operators and states in a Hilbert space.
1993-05-25
2007-05-23
[ "hep-th" ]
E. Ramos and O. A. Soloviev
hep-th/9305128
Fractional Supersymmetry and Quantum Mechanics
We present a set of quantum-mechanical Hamiltonians which can be written as the $F^{\,\rm th}$ power of a conserved charge: $H=Q^F$ with $[H,Q]=0$ and $F=2,3,...\, .$ This new construction, which we call {\it fractional}\/ supersymmetric quantum mechanics, is realized in terms of \pg\ variables satisfying $\t^F=0$. Fur...
1993-05-25
2009-10-22
[ "hep-th" ]
Stephane Durand
hep-th/9305139
Finite in All Directions
We study toroidal compactifications of string theories which include compactification of a timelike coordinate. Some new features in the theory of toroidal compactifications arise. Most notably, Narain moduli space does not exist as a manifold since the action of duality on background data is ergodic. For special compa...
1993-05-25
2007-05-23
[ "hep-th" ]
G. Moore
hep-th/9305127
Vertex Operators and Matrix Elements of $U_q(su(2)_k)$ via Bosonization
We construct bosonized vertex operators (VOs) and conjugate vertex operators (CVOs) of $U_q(su(2)_k)$ for arbitrary level $k$ and representation $j\leq k/2$. Both are obtained directly as two solutions of the defining condition of vertex operators - namely that they intertwine $U_q(su(2)_k)$ modules. We construct the s...
1993-05-25
2010-11-01
[ "hep-th" ]
A.H. Bougourzi and Robert A. Weston
hep-th/9305134
Order Parameters of the Dilute A Models
The free energy and local height probabilities of the dilute A models with broken $\Integer_2$ symmetry are calculated analytically using inversion and corner transfer matrix methods. These models possess four critical branches. The first two branches provide new realisations of the unitary minimal series and the other...
1993-05-25
2009-10-22
[ "hep-th" ]
S. O. Warnaar, P. A. Pearce, K. A. Seaton, B. Nienhuis
hep-th/9305131
Polylogarithm Identities in a Conformal Field Theory in Three Dimensions
The $N=\infty$ vector $O(N)$ model is a solvable, interacting field theory in three dimensions ($D$). In a recent paper with A. Chubukov and J. Ye~\cite{self}, we have computed a universal number, $\tilde{c}$, characterizing the size dependence of the free energy at the conformally-invariant critical point of this theo...
1993-05-25
2009-10-22
[ "hep-th", "cond-mat" ]
Subir Sachdev
hep-th/9305133
Boundary values as Hamiltonian variables. I. New Poisson brackets
The ordinary Poisson brackets in field theory do not fulfil the Jacobi identity if boundary values are not reasonably fixed by special boundary conditions. We show that these brackets can be modified by adding some surface terms to lift this restriction. The new brackets generalize a canonical bracket considered by Lew...
1993-05-25
2009-10-22
[ "hep-th", "cond-mat", "gr-qc" ]
Vladimir O. Soloviev
hep-th/9305130
Fractional Superspace Formulation of Generalized Mechanics
Supersymmetric (pseudo-classical) mechanics has recently been generalized to {\it fractional}\/ supersymmetric mechanics. In such a construction, the action is invariant under fractional supersymmetry transformations, which are the $F^{\,\rm th}$ roots of time translations (with $F=1,2,...$). Associated with these symm...
1993-05-25
2009-10-22
[ "hep-th" ]
Stephane Durand
hep-th/9305132
Symmetries of the Chern-Simons Theory in the Axial Gauge
The Green functions of the Chern-Simons theory quantized in the axial gauge are shown to be calculable as the unique, exact solution of the Ward identities which express the invariance of the theory under the topological supersymmetry of Delduc, Gieres and Sorella.
1993-05-25
2007-05-23
[ "hep-th" ]
A. Brandhuber, S. Emery, M. Langer, O. Piguet, M. Schweda and S.P. Sorella
hep-th/9305120
1992 Trieste Lectures on Topological Gauge Theory and Yang-Mills Theory
In these lecture notes we explain a connection between Yang-Mills theory on arbitrary Riemann surfaces and two types of topological field theory, the so called $BF$ and cohomological theories. The quantum Yang-Mills theory is solved exactly using path integral techniques. Explicit expressions, in terms of group represe...
1993-05-24
2007-05-23
[ "hep-th" ]
George Thompson
hep-th/9305124
Exact information in N=2 theories
This is intended to be a simple discussion of work done in collaboration with S. Cecotti, K. Intriligator and C. Vafa; and with H. Saleur. I discuss how $ Tr F (-1)^F e^{-\beta H}$ can be computed exactly in any N=2 supersymmetric theory in two dimensions. It gives exact information on the soliton spectrum of the theor...
1993-05-24
2007-05-23
[ "hep-th" ]
Paul Fendley
hep-th/9305125
Nonsingular Black Hole Evaporation and ``Stable'' Remnants
We examine the evaporation of two--dimensional black holes, the classical space--times of which are extended geometries, like for example the two--dimensional section of the extremal Reissner--Nordstrom black hole. We find that the evaporation in two particular models proceeds to a stable end--point. This should repres...
1993-05-24
2010-11-01
[ "hep-th", "gr-qc" ]
D.A. Lowe and M. O'Loughlin
hep-th/9305122
Path Integrals for Quantum Algebras and the Classical Limit
Coherent states path integral formalism for the simplest quantum algebras, q-oscillator, SU_q(2) and SU_q(1,1) is introduced. In the classical limit canonical structure is derived with modified symplectic and Riemannian metric. Non-constant deformation induced curvature for the phase spaces is obtained.
1993-05-24
2009-10-22
[ "hep-th" ]
Demosthenes Ellinas
hep-th/9305123
Black Holes, Wormholes, and the Disappearance of Global Charge
One of the paradoxes associated with the theory of the formation and subsequent Hawking evaporation of a black hole is the disappearance of conserved global charges. It has long been known that metric fluctuations at short distances (wormholes) violate global-charge conservation; if global charges are apparently conser...
1993-05-24
2014-11-18
[ "hep-th", "gr-qc" ]
Sidney Coleman and Shane Hughes
hep-th/9305119
Marginal Extended Perturbations in Two Dimensions and Gap-Exponent Relations
The most general form of a marginal extended perturbation in a two-dimensional system is deduced from scaling considerations. It includes as particular cases extended perturbations decaying either from a surface, a line or a point for which exact results have been previously obtained. The first-order corrections to the...
1993-05-24
2009-10-22
[ "hep-th", "cond-mat" ]
L. Turban, B. Berche (Henri Poincare Universty, Nancy)
hep-th/9305121
Classical dynamics of rigid string from Willmore functional
A new approach for investigating the classical dynamics of the relativistic string model with rigidity is proposed. It is based on the embedding of the string world surface into the space of a constant curvature. It is shown that the rigid string in flat space-time is described by the Euler-Lagrange equation for the Wi...
1993-05-24
2015-06-26
[ "hep-th" ]
A.L. Kholodenko and V.V. Nesterenko
hep-th/9305116
Valleys in String Foam Suppress Quantum Coherence
We exhibit string contributions to the $\nd{S}$ matrix relating in- and out- state density matrices that do not factorize as a product of $S$ and $S^\dagger$ matrices. They are associated with valley trajectories between topological defects on the string world sheet, that appear as quantum fluctuations in the space-tim...
1993-05-24
2009-09-11
[ "hep-th" ]
John Ellis N.E. Mavromatos and D.V. Nanopoulos
hep-th/9305117
A String Derivation of the $\nd{S}$ matrix
We show that, in string theory, as a result of the $W_{\infty}$-symmetries that preserve quantum coherence in the {\it full} string theory by coupling different mass levels, transitions between initial- and final-state density matrices for the effective light-particle theory involve non-Hamiltonian terms $\nd{\delta H}...
1993-05-24
2007-05-23
[ "hep-th", "gr-qc" ]
J Ellis, N E Mavromatos and D V Nanopoulos
hep-th/9305118
The quantum de Rham complexes associated with $SL_h(2)$
Quantum de Rham complexes on the quantum plane and the quantum group itself are constructed for the Zakrewski deformation of $ Fun ( SL(2)) $. As a by-product a new deformation of the two dimensional Heisenberg algeb ra is constructed which can be used to construct models of h-deformed quantum mechanics.
1993-05-24
2009-10-22
[ "hep-th", "math.QA" ]
Vahid Karimipour
hep-th/9305115
Topological closed-string interpretation of Chern-Simons theory
The exact free energy of SU($N$) Chern-Simons theory at level $k$ is expanded in powers of $(N+k)^{-2}.$ This expansion keeps rank-level duality manifest, and simplifies as $k$ becomes large, keeping $N$ fixed (or vice versa)---this is the weak-coupling (strong-coupling) limit. With the standard normalization, the free...
1993-05-24
2010-11-01
[ "hep-th" ]
Vipul Periwal
hep-th/9305113
The Canonical Symmetry and Hamiltonian Formalism. I. Conservation Laws
The properties of the canonical symmetry of the nonlinear Schr\"odinger equation are investigated. The densities of the local conservation laws for this system are shown to change under the action of the canonical symmetry by total space derivatives.
1993-05-23
2007-05-23
[ "hep-th" ]
A. N. Leznov and A. V. Razumov
hep-th/9305114
Fermionic Character Sums and the Corner Transfer Matrix
We present a ``natural finitization'' of the fermionic q-series (certain generalizations of the Rogers-Ramanujan sums) which were recently conjectured to be equal to Virasoro characters of the unitary minimal conformal field theory (CFT) M(p,p+1). Within the quasi-particle interpretation of the fermionic q-series this ...
1993-05-23
2008-11-26
[ "hep-th" ]
Ezer Melzer
hep-th/9305111
A Nonsingular Two Dimensional Black Hole
We construct a model of gravity in 1+1 spacetime dimensions in which the solutions approach the Schwarzschild metric at large $r$ and de Sitter space far inside the horizon. Our model may be viewed as a two dimensional application of the `Limiting Curvature Construction' recently proposed by two of the authors.
1993-05-22
2009-10-22
[ "hep-th", "gr-qc" ]
M. Trodden (Brown University), V. Mukhanov (ETH Zuerich) and R. Brandenberger (Brown University)
hep-th/9305112
Charged Stringy Black Holes With Non-Abelian Hair
Static spherically symmetric asymptotically flat charged black hole solutions are constructed within the magnetic SU(3) sector of the 4-dimensional heterotic string effective action. They possess non-abelian hair in addition to the Coulomb magnetic field and are qualitatively similar to the Einstein-Yang-Mills colored ...
1993-05-22
2009-10-22
[ "hep-th" ]
E.E. Donets and D.V. Gal'tsov
hep-th/9305109
A Deformed Matrix Model and the Black Hole Background in Two-Dimensional String Theory
The refrerences are corrected.
1993-05-21
2011-07-19
[ "hep-th" ]
Antal Jevicki and Tamiaki Yoneya
hep-th/9305107
Dilatonic black holes in theories with moduli fields
We discuss the low-energy effective string theory when moduli of the compactified manifold are present. Assuming a nontrivial coupling of the moduli to the Maxwell tensor, we find a class of regular black hole solutions. Both the thermodynamical and the geometrical structure of these solutions are discussed
1993-05-21
2009-10-22
[ "hep-th" ]
M. Cadoni and S. Mignemi
hep-th/9305104
The role of mathematics in contemporary theoretical physics
Talk given at the 6th Philosophy-and-Physics-Workshop ``Epistemological Aspects of the Role of Mathematics in Physical Science'', FEST, Heidelberg, Feb. 1993
1993-05-21
2007-05-23
[ "hep-th" ]
G. Muenster
hep-th/9305105
Batalin-Vilkoviski master equation and absence of anomalies in string field theory
We study the Batalin-Vilkovisky master equation for both open and closed string field theory with special attention to anomalies. Open string field theory is anomaly free once the minimal coupling to closed strings induced by loop amplitudes is considered. In closed string field theory the full-fledged master equation ...
1993-05-21
2008-11-26
[ "hep-th" ]
Jose Gaite and Ram Brustein
hep-th/9305102
On the Energy Levels of the Hydrogen Atom
We re-examine the justification for the imposition of regular boundary conditions on the wavefunction at the Coulomb singularity in the treatment of the hydrogen atom in non-relativistic quantum mechanics. We show that the issue of the correct boundary conditions is not independent of the physical structure of the prot...
1993-05-21
2007-05-23
[ "hep-th" ]
C.J. Fewster
hep-th/9305098
New Realisations of Minimal Models and the Structure of W-Strings
The quantization of a free boson whose momentum satisfies a cubic constraint leads to a $c=\ha$ conformal field theory with a BRST symmetry. The theory also has a $W_\infty $ symmetry in which all the generators except the stress-tensor are BRST-exact and so topological. The BRST cohomology includes states of conformal...
1993-05-21
2009-10-22
[ "hep-th" ]
C.M. Hull
hep-th/9305096
Lattice Analogue of W-infinity Algebra and Discrete KP-Hierarchy
In development of the started activity on lattice analogues of $W$-algebras, we define the notion of lattice $W_{\infty}$-algebra, accociated with lattice integrable system with infinite set of fields. Various kinds of reduction to lattice $W_N$-algebras, related to discrete $N$-KdV hierarchies are described. We also d...
1993-05-21
2009-10-22
[ "hep-th" ]
Alexander A. Belov and Karen D. Chaltikian
hep-th/9305108
Why the general Zakharov-Shabat equations form a hierarchy?
The totality of all Zakharov-Shabat equations (ZS), i.e., zero-curvature equations with rational dependence on a spectral parameter, if properly defined, can be considered as a hierarchy. The latter means a collection of commuting vector fields in the same phase space. Further properties of the hierarchy are discussed,...
1993-05-21
2009-10-22
[ "hep-th" ]
L.A.Dickey
hep-th/9305103
Classification of (2,2) Compactification in Fermionic Strings
Replaced with revised (uncorrupted) version We present a general scheme for generating (2,2) symmetric fermionic string models and classify the models in D=8 and D=6 space time dimensions. We discuss the relationship to other compactification schemes.
1993-05-21
2010-11-01
[ "hep-th" ]
S.A.Abel and C.M.A.Scheich