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hep-th/9305100
Vertex operators in solvable lattice models
We formulate the basic properties of q-vertex operators in the context of the Andrews-Baxter-Forrester (ABF) series, as an example of face-interaction models, derive the q-difference equations satisfied by their correlation functions, and establish their connection with representation theory. We also discuss the q-diff...
1993-05-21
2009-10-22
[ "hep-th", "nlin.SI", "solv-int" ]
Omar Foda, Michio Jimbo, Tetsuji Miwa, Kei Miki, and Atsushi Nakayashiki
hep-th/9305110
Spectrum Generating Affine Lie Algebras in Massive Field Theory
We present a new application of affine Lie algebras to massive quantum field theory in 2 dimensions, by investigating the $q\to 1$ limit of the q-deformed affine $\hat{sl(2)}$ symmetry of the sine-Gordon theory, this limit occuring at the free fermion point. We describe how radial quantization leads to a quasi-chiral f...
1993-05-21
2009-10-22
[ "hep-th" ]
Andre LeClair
hep-th/9305101
A note on the four-dimensional Kirby calculus
An explicit derivation of the elements of the representation ring of SU(2) needed to implement the four-dimensional Kirby calculus is sketched.
1993-05-21
2008-02-03
[ "hep-th", "math.QA" ]
Boguslaw Broda (U. Clausthal and U. Lodz)
hep-th/9305099
Supersymmetric Bianchi class A models
The canonical theory of $N=1$ supergravity is applied to Bianchi class A spatially homogeneous cosmologies. The full set of quantum constraints are then solved with the possible ordering ambiguity taken into account by introducing a free parameter. The wave functions are explicitly given for all the Bianchi class A mod...
1993-05-21
2009-10-22
[ "hep-th" ]
Masako Asano, Masayuki Tanimoto and Noriaki Yoshino
hep-th/9305097
Two-dimensional Yang-Mills Theories Are String Theories
We show that two-dimensional SO(N) and Sp(N) Yang-Mills theories without fermions can be interpreted as closed string theories. The terms in the 1/N expansion of the partition function on an orientable or nonorientable manifold M can be associated with maps from a string worldsheet onto M. These maps are unbranched and...
1993-05-21
2010-11-01
[ "hep-th", "hep-ph" ]
S.G. Naculich, H.A. Riggs, and H.J. Schnitzer
hep-th/9305106
Some Comments on Lie-Poisson Structure of Conformal Non-Abelian Thirring Models
The interconnection between self-duality, conformal invariance and Lie-Poisson structure of the two dimensional non-abelian Thirring model is investigated in the framework of the hamiltonian method.
1993-05-21
2009-10-22
[ "hep-th" ]
Oleg A. Soloviev
hep-th/9305091
The Spectral Problem for the q-Knizhnik-Zamolodchikov Equation
We analyse the spectral problem for the q-Knizhnik-Zamolodchikov equations for $U_q(\widehat{sl_2}) (0 < q \leq 1)$ at level zero. The case of 2-point functions in the fundamental representation is studied in detail. The scattering states are found explicitly in terms of continuous q-Jacobi polynomials. The correspondi...
1993-05-20
2009-10-22
[ "hep-th" ]
Peter G. O. Freund and Anton V. Zabrodin
hep-th/9305094
The Worldsheet Conformal Field Theory of the Fractional Superstring
Two of the important unresolved issues concerning fractional superstrings have been the appearance of new massive sectors whose spacetime statistics properties are unclear, and the appearance of new types of ``internal projections'' which alter or deform the worldsheet conformal field theory in a highly non-trivial man...
1993-05-20
2009-10-22
[ "hep-th" ]
Keith R. Dienes
hep-th/9305095
Holomorphic Yang-Mills Theory on Compact K\"{a}hler Manifolds
We propose $N=2$ holomorphic Yang-Mills theory on compact K\"{a}hler manifolds and show that there exists a simple mapping from the $N=2$ topological Yang-Mills theory. It follows that intersection parings on the moduli space of Einstein-Hermitian connections can be determined by examining the small coupling behavior o...
1993-05-20
2009-10-22
[ "hep-th" ]
Jae-Suk Park
hep-th/9305092
Comments on the Gribov Ambiguity
We discuss the existence of Gribov ambiguities in $SU(m)\times U(1)$ gauge theories over the $n-$spheres. We achieve our goal by showing that there is exactly one conjugacy class of groups of gauge transformations for the theories given above. This implies that these transformation groups are conjugate to the ones of t...
1993-05-20
2009-10-22
[ "hep-th" ]
Nikolaos Kalogeropoulos
hep-th/9305093
Central Charge Reduction and Spacetime Statistics in the Fractional Superstring
Fractional superstrings in the tensor-product formulation experience ``internal projections'' which reduce their effective central charges. Simple expressions for the characters of the resulting effective worldsheet theory are found. All states in the effective theory can be consistently assigned definite spacetime sta...
1993-05-20
2016-09-06
[ "hep-th" ]
Philip C. Argyres and Keith R. Dienes
hep-th/9305080
Structure of Topological Lattice Field Theories in Three Dimensions
We construct and classify topological lattice field theories in three dimensions. After defining a general class of local lattice field theories, we impose invariance under arbitrary topology-preserving deformations of the underlying lattice, which are generated by two new local lattice moves. Invariant solutions are i...
1993-05-19
2009-10-22
[ "hep-th", "math.QA" ]
Stephen-wei Chung, Masafumi Fukuma and Alfred Shapere
hep-th/9305084
Representations of the quantum matrix algebra $M_{q,p}(2)$
It is shown that the finite dimensional irreducible representaions of the quantum matrix algebra $ M_{ q,p}(2) $ ( the coordinate ring of $ GL_{q,p}(2) $) exist only when both q and p are roots of unity. In this case th e space of states has either the topology of a torus or a cylinder which may be thought of as genera...
1993-05-19
2009-10-22
[ "hep-th", "math.QA" ]
Vahid Karimipour
hep-th/9305083
Four Dimensional Black Holes in String Theory
Exact solutions of heterotic string theory corresponding to four-dimensional charge Q magnetic black holes are constructed as tensor products of an SU(2)/Z(2Q+2) WZW orbifold with a (0,1) supersymmetric SU(1,1)/U(1) WZW coset model. The spectrum is analyzed in some detail. ``Bad'' marginal operators are found which are...
1993-05-19
2009-09-17
[ "hep-th" ]
S.B. Giddings, J. Polchinski, and A. Strominger
hep-th/9305089
Classical String Solitons
We discuss some recent work in the field of classical solitonic solutions in string theory. In particular, we construct instanton and monopole solutions and discuss the dynamics of string-like solitons. Some of the motivation behind this work is that instantons may provide a nonperturbative understanding of the vacuum ...
1993-05-19
2007-05-23
[ "hep-th" ]
Ramzi R. Khuri
hep-th/9305086
Q-Boson Representation of the Quantum Matrix Algebra $M_q(3)$
{Although q-oscillators have been used extensively for realization of quantum universal enveloping algebras,such realization do not exist for quantum matrix algebras ( deformation of the algebra of functions on the group ). In this paper we first construct an infinite dimensional representation of the quantum matrix al...
1993-05-19
2009-10-22
[ "hep-th" ]
Vahid Karimipour
hep-th/9305088
Rieffel induction as generalized quantum Marsden-Weinstein reduction
A new approach to the quantization of constrained or otherwise reduced classical mechanical systems is proposed. On the classical side, the generalized symplectic reduction procedure of Mikami and Weinstein, as further extended by Xu in connection with symplectic equivalence bimodules and Morita equivalence of Poisson ...
1993-05-19
2008-02-03
[ "hep-th", "math-ph", "math.MP", "math.OA" ]
N. P. Landsman
hep-th/9305087
The Batalin-Vilkovisky Formalism on Fermionic Kaehler Manifolds
We show that the Kaehler structure can be naturally incorporated in the Batalin-Vilkovisky formalism. The phase space of the BV formalism becomes a fermionic Kaehler manifold. By introducing an isometry we explicitly construct the fermionic irreducible hermitian symmetric space. We then give some solutions of the maste...
1993-05-19
2015-06-26
[ "hep-th" ]
S. Aoyama and S. Vandoren
hep-th/9305085
Representations of The Coordinate Ring of $GL_{q}(3)$
It is shown that the finite dimensional ireducible representations of the quantum matrix algebra $ M_q(3) $ ( the coordinate ring of $ GL_q(3) $ ) exist only when q is a root of unity ( $ q^p = 1 $ ). The dimensions of these representations can only be one of the following values: $ p^3 , { p^3 \over 2 } , { p^3 \over ...
1993-05-19
2016-09-06
[ "hep-th" ]
Vahid Karimipour
hep-th/9305090
Localization in GWZW and Verlinde formula
Gauged Wess-Zumino-Witten theory for compact groups is considered. It is shown that this theory has fermionic BRST-like symmetry and may be exactly solved using localization approach. As an example we calculate functional integral for the case of SU(2) group on the arbitrary Riemann surface. The answer is the particula...
1993-05-19
2007-05-23
[ "hep-th" ]
A. Gerasimov
hep-th/9305077
On Quantum Integrability and the Lefschetz Number
Certain phase space path integrals can be evaluated exactly using equivariant cohomology and localization in the canonical loop space. Here we extend this to a general class of models. We consider hamiltonians which are {\it a priori} arbitrary functions of the Cartan subalgebra generators of a Lie group which is defin...
1993-05-18
2011-07-19
[ "hep-th" ]
A.J. Niemi and K. Palo (Uppsala University)
hep-th/9305081
Do Global String Loops Collapse to Form Black Holes?
Hawking has shown that the emission of gravitational radiation cannot prevent circular loops of gauged cosmic strings from collapsing into black holes. Here we consider the corresponding question for global strings: can Goldstone boson emission prevent circular loops of global cosmic strings from forming black holes? O...
1993-05-18
2009-10-22
[ "hep-th", "hep-ph" ]
Joaquim Fort and Tanmay Vachaspati
hep-th/9305082
An Alternate Approach to Transition Potentials
We analyze transition potentials $(V(r) \stackrel{r\sim 0}{\rightarrow} {\alpha r^{-2}})$ in non-relativistic quantum mechanics using the techniques of supersymmetry. For the range $-1/4 < \alpha < 3/4$, the eigenvalue problem becomes ill-defined (since it is not possible to choose a unique eigenfunction based on squar...
1993-05-18
2016-09-06
[ "hep-th" ]
Asim Gangopadhyaya, Prasanta K. Panigrahi, and Uday P. Sukhatme
hep-th/9305078
N=2 Super Boussinesq Hierarchy: Lax Pairs and Conservation Laws
We study the integrability properties of the one-parameter family of $N=2$ super Boussinesq equations obtained earlier by two of us (E.I. \& S.K., Phys. Lett. B 291 (1992) 63) as a hamiltonian flow on the $N=2$ super-$W_3$ algebra. We show that it admits nontrivial higher order conserved quantities and hence gives rise...
1993-05-18
2009-11-05
[ "hep-th" ]
S.Bellucci, E.Ivanov, S.Krivonos and A.Pichugin
hep-th/9305079
On Connection between Topological Landau-Ginzburg Gravity and Integrable Systems
We study flows on the space of topological Landau-Ginzburg theories coupled to topological gravity. We argue that flows corresponding to gravitational descendants change the target space from a complex plane to a punctured complex plane and lead to the motion of punctures.It is shown that the evolution of the topologic...
1993-05-18
2015-06-26
[ "hep-th" ]
A.Losev, I.Polyubin
hep-th/9305074
Effective Action and Exact Geometry in Chiral Gauged WZW Models
Following recent work on the effective quantum action of gauged WZW models, we suggest such an action for {\it chiral} gauged WZW models which in many respects differ from the usual gauged WZW models. Using the effective action we compute the conformally exact expressions for the metric, the antisymmetric tensor, and t...
1993-05-17
2008-02-03
[ "hep-th" ]
Konstadinos Sfetsos
hep-th/9305076
Parity-Conserving Light-Cone Quantization of Quantum Field Theories
Parity violation is a long standing problem in light-cone quantization. \REF\CPT{D. Soper, SLAC-REP-137, 1970, Chap. I . } \refend We propose a new quantization on the light-cone which treats both the $x^{+}$ and the $x^{-}$ coordinates as light-cone 'times.'This quantization respects both parity and time-reversal. We ...
1993-05-17
2007-05-23
[ "hep-th" ]
Ovid C. Jacob
hep-th/9305073
Superspace Duality in Low-Energy Superstrings
We extend spacetime duality to superspace, including fermions in the low-energy limits of superstrings. The tangent space is a curved, extended superspace. The geometry is based on an enlarged coordinate space where the vanishing of the d'Alembertian is as fundamental as the vanishing of the curl of a gradient.
1993-05-17
2009-10-22
[ "hep-th" ]
W. Siegel
hep-th/9305075
Measurements, errors, and negative kinetic energy
An analysis of errors in measurement yields new insight into the penetration of quantum particles into classically forbidden regions. In addition to ``physical" values, realistic measurements yield ``unphysical" values which, we show, can form a consistent pattern. An experiment to isolate a particle in a classically f...
1993-05-17
2009-10-22
[ "hep-th", "cond-mat" ]
Y. Aharonov, S. Popescu, D. Rohrlich, and L. Vaidman
hep-th/9305072
Solving the Ward Identities of Irrational Conformal Field Theory
The affine-Virasoro Ward identities are a system of non-linear differential equations which describe the correlators of all affine-Virasoro constructions, including rational and irrational conformal field theory. We study the Ward identities in some detail, with several central results. First, we solve for the correlat...
1993-05-17
2008-11-26
[ "hep-th" ]
M.B. Halpern and N.A. Obers
hep-th/9305071
A Superalgebra Morphism of Uq[OSP(1/2N)] onto the Deformed Oscillator Superalgebra Wq(N)
We prove that the deformed oscillator superalgebra $W_q(n)$ (which in the Fock representation is generated essentially by $n$ pairs of $q$-bosons) is a factor algebra of the quantized universal enveloping algebra $U_q[osp(1/2n)]$. We write down a $q$-analog of the Cartan-Weyl basis for the deformed $osp(1/2n)$ and give...
1993-05-16
2009-10-22
[ "hep-th" ]
T. D. Palev
hep-th/9305070
N=2 Super - $W_{3}$ Algebra and N=2 Super Boussinesq Equations
We study classical $N=2$ super-$W_3$ algebra and its interplay with $N=2$ supersymmetric extensions of the Boussinesq equation in the framework of the nonlinear realization method and the inverse Higgs - covariant reduction approach. These techniques have been previously applied by us in the bosonic $W_3$ case to give ...
1993-05-15
2009-10-22
[ "hep-th" ]
E.Ivanov, S.Krivonos and R.P.Malik
hep-th/9305069
Dilaton, moduli and string/five-brane duality as seen from four dimensions
A naive dimensional reduction of the $N=1, D=10$ supergravity theory that naturally arises in five-brane models is used to determine the r\^ole of two fields which are basic ingredients of string models: the dilaton and, among the moduli, the breathing mode. It is shown that, under the duality transformation that relat...
1993-05-15
2009-10-22
[ "hep-th" ]
P. Binetruy
hep-th/9305065
Classical Stringy Black Holes Modify the Thermal Spectrum
Non-local (alpha prime) corrections to Schwarzschild black holes are shown to invalidate the thermodynamical interpretation of black holes. In particular, the canonical and Bekenstein-Hawking temperatures are not equal. The particle number density of fields quantized in the (alpha prime modified) black hole background ...
1993-05-14
2007-05-23
[ "hep-th" ]
B. Harms and Y. Leblanc
hep-th/9305062
Teleportation of Quantum States
Bennett et al. (PRL 70, 1859 (1993)) have shown how to transfer ("teleport") an unknown spin quantum state by using prearranged correlated quantum systems and transmission of classical information. I will show how their results can be obtained in the framework of nonlocal measurements proposed by Aharonov and Albert I ...
1993-05-14
2009-10-22
[ "hep-th" ]
Lev Vaidman
hep-th/9305067
Thermodynamic q-Distributions That Aren't
Bosonic q-oscillators commute with themselves and so their free distribution is Planckian. In a cavity, their emission and absorption rates may grow or shrink---and even diverge---but they nevertheless balance to yield the Planck distribution via Einstein's equilibrium method, (a careless application of which might pro...
1993-05-14
2009-10-02
[ "hep-th" ]
S. Vokos and C. Zachos
hep-th/9305064
Instanton Effects in Supergravity Theories
Non-perturbative effects of instanton-like solutions are studied within the framework of supergravity theories with field-dependent gauge functions. Fermionic zero modes are constructed and some typical correlation functions are evaluated. The effects of instantons are very similar to those in globally supersymmetric t...
1993-05-14
2009-10-22
[ "hep-th", "hep-ph" ]
Soo-Jong Rey and T.R. Taylor
hep-th/9305061
2D String Theory Coupled to Quantum Gravity
We consider self-avoiding Nambu-Goto open strings on a random surface. We have shown that the partition function of such a string theory can be calculated exactly. The string susceptibility for the disk is evaluated to be $-\frac{1}{2}$. We also consider modifications of the Nambu-Goto action which are exactly soluble ...
1993-05-14
2009-10-22
[ "hep-th" ]
Nobuyuki Ishibashi
hep-th/9305066
Scattering of Macroscopic Heterotic Strings
We show that macroscopic heterotic strings, formulated as strings which wind around a compact direction of finite but macroscopic extent, exhibit non-trivial scattering at low energies. This occurs at order velocity squared and may thus be described as geodesic motion on a moduli space with a non-trivial metric which w...
1993-05-14
2009-10-22
[ "hep-th" ]
J.P. Gauntlett, J. A. Harvey, M. M. Robinson, and D. Waldram
hep-th/9305063
\bf A Borel-Weil-Bott approach to representations of $\slq$
We use a quite concrete and simple realization of $\slq$ involving finite difference operators. We interpret them as derivations (in the non-commutative sense) on a suitable graded algebra, which gives rise to the double of the projective line as the non commutative version of the standard homogeneous space.
1993-05-14
2009-10-22
[ "hep-th" ]
Davide Franco and Cesare Reina (SISSA - Strada Costiera 11 -TRIESTE (Italy))
hep-th/9305068
Low Energy Dynamics of N=2 Supersymmetric Monopoles
It is argued that the low-energy dynamics of $k$ monopoles in N=2 supersymmetric Yang-Mills theory are determined by an N=4 supersymmetric quantum mechanics based on the moduli space of $k$ static monople solutions. This generalises Manton's ``geodesic approximation" for studying the low-energy dynamics of (bosonic) BP...
1993-05-14
2009-10-22
[ "hep-th" ]
Jerome P. Gauntlett
hep-th/9305060
Global Quantization of Vacuum Angle and Magnetic Monopoles as a New Solution to the Strong CP Problem
The non-perturbative solution to the strong CP problem with magnetic monopoles as originally proposed by the author is described. It is shown that the gauge orbit space with gauge potentials and gauge tranformations restricted on the space boundary and the globally well-defined gauge subgroup in gauge theories with a $...
1993-05-13
2007-05-23
[ "hep-th" ]
Huazhong Zhang
hep-th/9305056
Body Fixed Frame, Rigid Gauge Rotations and Large N Random Fields in QCD
The "body fixed frame" with respect to local gauge transformations is introduced. Rigid gauge "rotations" in QCD and their \Sch equation are studied for static and dynamic quarks. Possible choices of the rigid gauge field configuration corresponding to a nonvanishing static colormagnetic field in the "body fixed" frame...
1993-05-13
2014-11-18
[ "hep-th", "hep-ph", "nucl-th" ]
Shimon Levit
hep-th/9305059
The Super W_3 Conformal Algebra and the Boussinesq Hierarchy
The bihamiltonian structure of the N=2 Supersymmetric Boussinesq equation is found. It is not reduced to the corresponding classical structure and hence it describes the pure supersymmetric effect. For the supersymmetric Boussinesq equation which contains the classical partner the Lax pair is given explicitly. Thus we ...
1993-05-13
2015-06-26
[ "hep-th" ]
Ziemowit Popowicz (Research Institute for Theoretical Physics, University of Helsinki, Finland)
hep-th/9305054
Canonical Transformations in Quantum Mechanics
Quantum canonical transformations are defined algebraically outside of a Hilbert space context. This generalizes the quantum canonical transformations of Weyl and Dirac to include non-unitary transformations. The importance of non-unitary transformations for constructing solutions of the Schr\"odinger equation is discu...
1993-05-13
2009-10-22
[ "hep-th", "gr-qc" ]
Arlen Anderson
hep-th/9305053
Integrable hierarchy underlying topological Landau-Ginzburg models of D-type
A universal integrable hierarchy underlying topological Landau-Ginzburg models of D-tye is presented. Like the dispersionless Toda hierarchy, the new hierarchy has two distinct (``positive" and ``negative") set of flows. Special solutions corresponding to topological Landau-Ginzburg models of D-type are characterized b...
1993-05-13
2009-10-22
[ "hep-th" ]
Kanehisa Takasaki
hep-th/9305055
Abelian and Non-Abelian Dualities in String Bacgrounds
We present a brief discussion of recent work on duality symmetries in non-trivial string backgrounds. Duality is obtained from a gauged non-linear sigma-model with vanishing gauge field strength. Standard results are reproduced for abelian gauge groups, whereas a new type of duality is identified for non--abelian gauge...
1993-05-13
2009-09-25
[ "hep-th" ]
Fernando Quevedo
hep-th/9305057
On the Relationship between the Uniqueness of the Moonshine Module and Monstrous Moonshine
We consider the relationship between the conjectured uniqueness of the Moonshine Module, ${\cal V}^\natural$, and Monstrous Moonshine, the genus zero property of the modular invariance group for each Monster group Thompson series. We first discuss a family of possible $Z_n$ meromorphic orbifold constructions of ${\cal ...
1993-05-13
2010-11-01
[ "hep-th" ]
Michael P.Tuite
hep-th/9305058
Some Correlators of $SU(3)_3$ WZW Models on Higher-Genus Riemann Surfaces
Using the conformal embedding on the torus, we can express some characters of $SU(3)_3$ in terms of $SO(8)_1$ characters. Then with the help of crossing symmetry, modular transformation and factorization properties of Green functions, we will calculate a class of correlators of $SU(3)_3$ on arbitrary Riemann surfaces. ...
1993-05-13
2015-06-26
[ "hep-th" ]
Masoud Alimohammadi
hep-th/9305049
Equations of Hydrodynamic Type
The universal field equations introduced by the author and his collaborators, which admit infinitely many inequivalent Lagrangian formulations are shown to arise as consistency conditions for the existence of non-trivial solutions to the quasi-linear equations, called equations of hydrodynamic type by Novikov , Dubrovi...
1993-05-12
2007-05-23
[ "hep-th" ]
D.B. Fairlie
hep-th/9305050
The Integrable Mapping as the Discrete Group of Inner Symmetry of Integrable Systems
It is shown that each integrable mapping is connected with a hierarchical completely integrable sytem of equations of evolution type which are invariant with respect to the transformation described by this mapping.
1993-05-12
2007-05-23
[ "hep-th" ]
D.B. Fairlie and A.N. Leznov
hep-th/9305051
Chern-Simons theory on an arbitrary manifold via surgery
A general formula for physical observables in Chern-Simons theory with an arbitrary compact Lie group $G$, on an arbitrary closed oriented three-dimensional manifold $\cM$ is derived in terms of vacuum expectation values of Wilson loops in ${\cal S}^3$. Surgery presentation of $\cM$ and the Kirby moves are implemented ...
1993-05-12
2008-02-03
[ "hep-th", "math.QA" ]
Boguslaw Broda (U. Clausthal and U. Lodz)
hep-th/9305047
Large $N$ Phase Transition in Continuum QCD$_2$
We compute the exact partition function for pure continuous Yang-Mills theory on the two-sphere in the large $N$ limit, and find that it exhibits a large $N$ third order phase transition with respect to the area $A$ of the sphere. The weak coupling (small A) partition function is trivial, while in the strong coupling p...
1993-05-12
2009-10-22
[ "hep-th" ]
Michael R. Douglas and Vladimir A.Kazakov
hep-th/9305052
Renormalization in Quantum Mechanics
We implement the concept of Wilson renormalization in the context of simple quantum mechanical systems. The attractive inverse square potential leads to a $\b$ function with a nontrivial ultraviolet stable fixed point and the Hulthen potential exhibits the crossover phenomenon. We also discuss the implementation of the...
1993-05-12
2009-10-22
[ "hep-th", "hep-lat", "hep-ph" ]
K. S. Gupta and S. G. Rajeev
hep-th/9305048
A Closed Expression for the Universal R-Matrix in a Non-Standard Quantum Double
In recent papers of the author, a method was developed for constructing quasitriangular Hopf algebras (quantum groups) of the quantum-double type. As a by-product, a novel non-standard example of the quantum double has been found. In the present paper, a closed expression (in terms of elementary functions) for the corr...
1993-05-11
2014-11-18
[ "hep-th" ]
A.A.Vladimirov
hep-th/9305046
Quantum Group Schr\"{o}dinger Field Theory
We show that a quantum deformation of quantum mechanics given in a previous work is equivalent to quantum mechanics on a nonlinear lattice with step size $\Delta x=~(1-q)x$. Then, based on this, we develop the basic formalism of quantum group Schr\"{o}dinger field theory in one spatial quantum dimension, and explicitly...
1993-05-11
2015-06-26
[ "hep-th" ]
Marcelo R. Ubriaco
hep-th/9305042
The Analytic Structure of Trigonometric S Matrices
$S$-matrices associated to the vector representations of the quantum groups for the classical Lie algebras are constructed. For the $a_{m-1}$ and $c_m$ algebras the complete $S$-matrix is found by an application of the bootstrap equations. It is shown that the simplest form for the $S$-matrix which generalizes that of ...
1993-05-11
2009-10-22
[ "hep-th" ]
Timothy Hollowood
hep-th/9305043
The Braiding of Chiral Vertex Operators with Continuous Spins in 2D Gravity
Chiral vertex-operators are defined for continuous quantum-group spins $J$ from free-field realizations of the Coulomb-gas type. It is shown that these generalized chiral vertex operators satisfy closed braiding relations on the unit circle, which are given by an extension in terms of orthogonal polynomials of the brai...
1993-05-11
2009-10-22
[ "hep-th" ]
Jean-Loup Gervais, Jens Schnittger
hep-th/9305041
Matrix Models on Large Graphs
We consider the spherical limit of multi-matrix models on regular target graphs, for instance single or multiple Potts models, or lattices of arbitrary dimension. We show, to all orders in the low temperature expansion, that when the degree of the target graph $\Delta\to\infty$, the free energy becomes independent of t...
1993-05-11
2009-10-22
[ "hep-th", "hep-lat" ]
Mark Wexler
hep-th/9305045
Diffeomorphism-invariant generalized measures on the space of connections modulo gauge transformations
The notion of a measure on the space of connections modulo gauge transformations that is invariant under diffeomorphisms of the base manifold is important in a variety of contexts in mathematical physics and topology. At the formal level, an example of such a measure is given by the Chern-Simons path integral. Certain ...
1993-05-11
2008-02-03
[ "hep-th", "gr-qc", "math.FA" ]
John C. Baez
hep-th/9305038
A General Solution of the BV-Master Equation and BRST Field Theories
For a class of first order gauge theories it was shown that the proper solution of the BV-master equation can be obtained straightforwardly. Here we present the general condition which the gauge generators should satisfy to conclude that this construction is relevant. The general procedure is illustrated by its applica...
1993-05-10
2015-06-26
[ "hep-th" ]
O. F. Dayi
hep-th/9305035
Soliton Solutions of Relativistic Hartree's Equations
We study a model based on $N$ scalar complex fields coupled to a scalar real field, where all fields are treated classically as c-numbers. The model describes a composite particle made up of $N$ constituents with bare mass $m_0$ interacting both with each other and with themselves via the exchange of a particle of mass...
1993-05-10
2009-10-22
[ "hep-th", "nucl-th" ]
Nathan Poliatzky
hep-th/9305040
Black Hole Information
Hawking's 1974 calculation of thermal emission from a classical black hole led to his 1976 proposal that information may be lost from our universe as a pure quantum state collapses gravitationally into a black hole, which then evaporates completely into a mixed state of thermal radiation. Another possibility is that th...
1993-05-10
2008-02-03
[ "hep-th", "gr-qc" ]
Don N. Page (University of Alberta)
hep-th/9305036
Quantum Heisenberg groups and Sklyanin algebras
We define new quantizations of the Heisenberg group by introducing new quantizations in the universal enveloping algebra of its Lie algebra. Matrix coefficients of the Stone--von Neumann representation are preserved by these new multiplications on the algebra of functions on the Heisenberg group. Some of the new quanti...
1993-05-10
2009-10-22
[ "hep-th", "math.QA" ]
Nicolas Andruskiewitsch, Jorge Devoto and Alejandro Tiraboschi
hep-th/9305037
Ramond Sector Characters and N=2 Landau-Ginzburg Models
We give a direct proof of the new "product" expression for the Ramond sector characters of N=2 minimal models recently suggested by E. Witten. Our construction allows us to generalize these expressions to the D and E series of N=2 minimal models, as well as to other N=2 Kazama--Suzuki coset models such as $SU(N)\times ...
1993-05-10
2009-10-22
[ "hep-th" ]
P. Di Francesco and S. Yankielowicz
hep-th/9305034
Lattice Topological Field Theory and First Order Phase Transition
Carrying out perturbations around a lattice topological field theory in two dimensions, we show that it is on a first order phase transition fixed point with multiplicity ${n(n-1)/2}$, where $n$ is the number of its independent physical observables. We discuss about the order parameters and the finite size effect for t...
1993-05-10
2009-10-22
[ "hep-th" ]
Naoki Sasakura
hep-th/9305039
On the Twisted $N=2$ Superconformal Structure in $2d$ Gravity Coupled to Matter
It is shown that the two dimensional gravity, described either in the conformal gauge (the Liouville theory) or in the light cone gauge, when coupled to matter possesses an infinite number of twisted $N=2$ superconformal symmetries. The central charges of the $N=2$ algebra for the two gauge choices are in general diffe...
1993-05-10
2009-10-22
[ "hep-th" ]
Sudhakar Panda and Shibaji Roy
hep-th/9305028
Breaking of Topological Symmetry
The coupling of topological matter to topological Yang-Mills theory in four dimensions is considered and a model is presented. It is shown that, contrary to the two-dimensional case, this coupling leads to a breaking of the topological symmetry. This means that the vacuum expectation values of the observables of the th...
1993-05-09
2009-10-22
[ "hep-th" ]
M. Alvarez and J.M.F. Labastida
hep-th/9305030
Tachyon Hair on Two-Dimensional Black Holes
Static black holes in two-dimensional string theory can carry tachyon hair. Configurations which are non-singular at the event horizon have non-vanishing asymptotic energy density. Such solutions can be smoothly extended through the event horizon and have non-vanishing energy flux emerging from the past singularity. Dy...
1993-05-08
2009-10-07
[ "hep-th" ]
A. Peet, L. Susskind, and L. Thorlacius
hep-th/9305031
Non Perturbative Solutions and Scaling Properties of Vector, Axial--Vector Electrodynamics in $1+1$ Dimensions
We study by non perturbative techniques a vector, axial--vector theory characterized by a parameter which interpolates between pure vector and chiral Schwinger models. Main results are two windows in the space of parameters which exhibit acceptable solutions. In the first window we find a free massive and a free massle...
1993-05-08
2009-10-22
[ "hep-th" ]
A. Bassetto, L. Griguolo and P. Zanca
hep-th/9305033
The Free Field Representation of SU(3) Conformal Field Theory
(Revised LaTex version).The structure of free field representation and some correlation functions of the SU(3) CFT are considered.
1993-05-08
2009-10-22
[ "hep-th" ]
Hovik Toomassian
hep-th/9305032
Chern-Simons Theory, Colored-Oriented Braids and Link invariants
A method to obtain explicit and complete topological solution of SU(2) Chern-Simons theory on $S^3$ is developed. To this effect the necessary aspects of the theory of coloured-oriented braids and duality properties of conformal blocks for the correlators of $SU(2)_k$ Wess-Zumino conformal field theory are presented. A...
1993-05-08
2009-10-22
[ "hep-th", "math.QA" ]
R. K. Kaul
hep-th/9305023
On the Exact Operator Formalism of Two-Dimensional Liouville Quantum Gravity in Minkowski Spacetime
A detailed reexamination is made of the exact operator formalism of two-dimensional Liouville quantum gravity in Minkowski spacetime with the cosmological term fully taken into account. Making use of the canonical mapping from the interacting Liouville field into a free field, we focus on the problem of how the Liouv...
1993-05-07
2015-06-26
[ "hep-th" ]
Yoichi Kazama and Hermann Nicolai
hep-th/9305025
Singularity-free cosmological solutions of the superstring effective action
We study the cosmological solutions of the one loop corrected superstring effective action, in a Friedmann-Robertson-Walker background, and in the presence of the dilaton and modulus fields. A particularly interesting class of solutions is found which avoid the initial singularity and are consistent with the perturbati...
1993-05-07
2009-10-22
[ "hep-th", "gr-qc" ]
I. Antoniadis, J. Rizos and K. Tamvakis
hep-th/9305024
String Hypothesis and Characters of Coset CFTs
We present an algorithm for the construction of the branching functions in the vacuum sector for affine Lie algebras based on the string hypothesis solution to a system of Bethe equations for generalized RSOS models. We also mention how the ground state structure and features of the excitation spectra like the Brilloui...
1993-05-07
2008-02-03
[ "hep-th" ]
Srinandan Dasmahapatra
hep-th/9305044
Statistics in the Propositional Formulation of Quantum Mechanics
We give a definition for the notion of statistics in the lattice-theoretical (or propositional) formulation of quantum mechanics of Birchoff, von Neumann and Piron. We show that this formalism is compatible only with two types of statistics: Bose-Einstein and Fermi-Dirac. Some comments are made about the connection bet...
1993-05-07
2007-05-23
[ "hep-th" ]
Dan Radu Grigore
hep-th/9305027
Loop Algebra Moment Maps and Hamiltonian Models for the Painleve Transcendants
The isomonodromic deformations underlying the Painlev\'e transcendants are interpreted as nonautonomous Hamiltonian systems in the dual $\gR^*$ of a loop algebra $\tilde\grg$ in the classical $R$-matrix framework. It is shown how canonical coordinates on symplectic vector spaces of dimensions four or six parametrize ce...
1993-05-07
2008-02-03
[ "hep-th", "nlin.SI", "solv-int" ]
J. Harnad and M.-A. Wisse
hep-th/9305026
Closed String Field Theory: An Introduction
In these introductory notes I explain some basic ideas in string field theory. These include: the concept of a string field, the issue of background independence, the reason why minimal area metrics solve the problem of generating all Riemann surfaces with vertices and propagators, and how Batalin-Vilkovisky structures...
1993-05-07
2007-05-23
[ "hep-th" ]
B. Zwiebach
hep-th/9305018
On the determination of the dilaton-antisymmetric tensor couplings in supergravity theories
A new approach is provided to determine the dilaton--antisymmetric tensor coupling in a supergravity theory by considering the static supersymmetric field configuration around a super extended object, which is consistently formulated in a curved superspace. By this, the corresponding SUSY transformation rules can also ...
1993-05-06
2009-10-22
[ "hep-th" ]
J. X. Lu
hep-th/9305019
Matrx Models: a Way to Quantum Moduli Spaces
We give the description of discretized moduli spaces (d.m.s.) $\Mcdisc$ introduced in \cite{Ch1} in terms of a discrete de Rham cohomologies for each moduli space $\Mgn$ of a genus $g$, $n$ being the number of punctures. We demonstrate that intersection indices (cohomological classes) calculated for d.m.s. coincide wit...
1993-05-06
2007-05-23
[ "hep-th" ]
L.Chekhov
hep-th/9305017
Free Boson Representation of $U_q(\widehat{sl}_3)$
A representation of the quantum affine algebra $U_{q}(\widehat{sl}_3)$ of an arbitrary level $k$ is constructed in the Fock module of eight boson fields. This realization reduces the Wakimoto representation in the $q \rightarrow 1$ limit. The analogues of the screening currents are also obtained. They commute with the ...
1993-05-06
2009-10-22
[ "hep-th" ]
H. Awata, S. Odake and J. Shiraishi
hep-th/9305022
Combinatorial Invariants from Four Dimensional Lattice Models: II
Revision contains rewording of selected text
1993-05-06
2008-02-03
[ "hep-th", "math.QA" ]
Danny Birmingham and Mark Rakowski
hep-th/9305016
Entropy of Lovelock Black Holes
A general formula for the entropy of stationary black holes in Lovelock gravity theories is obtained by integrating the first law of black hole mechanics, which is derived by Hamiltonian methods. The entropy is not simply one quarter of the surface area of the horizon, but also includes a sum of intrinsic curvature inv...
1993-05-06
2009-10-22
[ "hep-th", "gr-qc" ]
Ted Jacobson and Robert C. Myers
hep-th/9305021
Physically meaningful and not so meaningful symmetries in Chern-Simons theory
We explicitly show that the Landau gauge supersymmetry of Chern-Simons theory does not have any physical significance. In fact, the difference between an effective action both BRS invariant and Landau supersymmetric and an effective action only BRS invariant is a finite field redefinition. Having established this, we u...
1993-05-06
2011-07-19
[ "hep-th" ]
G. Giavarini, C.P. Martin and F. Ruiz Ruiz
hep-th/9305020
Gauge Theory of Relativistic Membranes
In this paper we show that a relativistic membrane admits an equivalent representation in terms of the Kalb-Ramond gauge field $F_{\mu\nu\rho}=\partial_{\,[\,\mu}B_{\nu\rho]}$ encountered in string theory. By `` equivalence '' we mean the following: if $x=X(\xi)$ is a solution of the classical equations of motion deriv...
1993-05-06
2010-04-06
[ "hep-th" ]
A.Aurilia, E.Spallucci
hep-th/9305029
Explicit Calculation of Multiloop Amplitudes in the Superstring Theory
Multiloop superstring amplitudes are calculated in the explicit form by the solution of Ward identities. A naive generalization of Belavin-Knizhnik theorem to the superstring is found to be incorrect since the period matrix turns out to be depended on the spinor structure over the terms proportional to odd moduli. Th...
1993-05-06
2007-05-23
[ "hep-th" ]
G. S. Danilov
hep-th/9305014
Cocycles for Boson and Fermion Bogoliubov Transformations
Unitarily implementable Bogoliubov transformations for charged, relativistic bos\-ons and fermions are discussed, and explicit formulas for the 2-cocycles appearing in the group product of their implementers are derived. In the fermion case this provides a simple field theoretic derivation of the well-known cocycle of ...
1993-05-05
2010-11-01
[ "hep-th" ]
Edwin Langmann
hep-th/9305015
Towards Three-Dimensional Bethe Ansatz
We introduce a ``pre-Bethe-Ansatz'' system of equations for three dimensional vertex models. We bring to the light various algebraic curves of high genus and discuss some situations where these curves simplify. As a result we describe remarkable subvarieties of the space of parameters.
1993-05-05
2009-10-22
[ "hep-th" ]
M. Bellon and S. Boukraa and J-M. Maillard and C-M. Viallet
hep-th/9305009
Higher-Order Lagrangian Theories and Noetherian Symmetries
A geometric global formulation of the higher-order Lagrangian formalism for systems with finite number of degrees of freedom is provided. The formalism is applied to the study of systems with groups of Noetherian symmetries.
1993-05-04
2007-05-23
[ "hep-th" ]
Dan Radu Grigore
hep-th/9305011
Pressure in Chern-Simons Field Theory to Three-Loop Order
We calculate perturbatively the pressure of a dilute gas of anyons through second order in the anyon coupling constant, as described by Chern-Simons field theory. Near Bose statistics , the divergences in the perturbative expansion are exactly cancelled by a two-body $\delta$-function potential which is not required ne...
1993-05-04
2009-10-22
[ "hep-th" ]
M. A. Valle Basagoiti
hep-th/9305013
Two-dimensional topological gravity and equivariant cohomology
In this paper, we examine the analogy between topological string theory and equivariant cohomology. We also show that the equivariant cohomology of a topological conformal field theory carries a certain algebraic structure, which we call a gravity algebra. (Error on page 9 corrected: BRS current contains total derivati...
1993-05-04
2009-10-22
[ "hep-th", "math.QA" ]
Ezra Getzler (MIT)
hep-th/9305008
The Renormalization Group and the Effective Potential in a Curved Spacetime with Torsion
The renormalization group method is employed to study the effective potential in curved spacetime with torsion. The renormalization-group improved effective potential corresponding to a massless gauge theory in such a spacetime is found and in this way a generalization of Coleman-Weinberg's approach corresponding to fl...
1993-05-04
2009-09-17
[ "hep-th" ]
A.A. Bytsenko, E. Elizalde, and S.D. Odintsov
hep-th/9305010
Derivation of the Verlinde Formula from Chern-Simons Theory and the G/G model
We give a derivation of the Verlinde formula for the $G_{k}$ WZW model from Chern-Simons theory, without taking recourse to CFT, by calculating explicitly the partition function $Z_{\Sigma\times S^{1}}$ of $\Sigma\times S^{1}$ with an arbitrary number of labelled punctures. By a suitable gauge choice, $Z_{\Sigma\times ...
1993-05-04
2009-10-22
[ "hep-th" ]
M. Blau and G. Thompson
hep-th/9305012
The Nambu-Jona-Lasinio Model at O(1/N^2)
We write down the anomalous dimensions of the fields of the Nambu--Jona-Lasinio model or chiral Gross Neveu model with a continuous global chiral symmetry for the two cases $U(1)$ $\times$ $U(1)$ and $SU(M)$ $\times$ $SU(M)$ at $O(1/N^2)$ in a $1/N$ expansion.
1993-05-04
2009-10-22
[ "hep-th" ]
J.A. Gracey
hep-th/9305006
Two dimensional general covariance from three dimensions
A 3d generally covariant field theory having some unusual properties is described. The theory has a degenerate 3-metric which effectively makes it a 2d field theory in disguise. For 2-manifolds without boundary, it has an infinite number of conserved charges that are associated with graphs in two dimensions and the Poi...
1993-05-03
2010-04-06
[ "hep-th", "gr-qc" ]
Viqar Husain
hep-th/9305001
The Schrodinger Wave is Observable after All!
It is shown that it is possible to measure the Schr\"odinger wave of a single quantum system. This provides a strong argument for associating physical reality with a quantum state of a single system in sharp contrast with the usual approach in which the physical meaning of a quantum state is related only to an ensemble...
1993-05-03
2007-05-23
[ "hep-th" ]
Yakir Aharonov and Lev Vaidman
hep-th/9405021
Dynamical systems accepting the normal shift on an arbitrary Riemannian manifold
Newtonian dynamical systems which accept the normal shift on an arbitrary Riemannian manifold are considered. For them the determinating equations making the weak normality condition are derived. The expansion for the algebra of tensor fields is constructed.
1993-05-03
2008-02-03
[ "hep-th", "chao-dyn", "math.DG", "nlin.CD" ]
A. Yu. Boldin, V. V. Dmitrieva, S. S. Safin, R. A. Sharipov (Bashkir State University)
hep-th/9305007
Scaling of Aharonov-Bohm couplings and the dynamical vacuum in gauge theories
Recent results on the vacuum polarization induced by a thin string of magnetic flux lead us to suggest an analogue of the Copenhagen `flux spaghetti' QCD vacuum as a possible mechanism for avoiding the divergence of perturbative QED, thus permitting consistent completion of the full, nonperturbative theory. The mechani...
1993-05-03
2009-10-22
[ "hep-th", "hep-ph" ]
Alfred S.Goldhaber, Hsiang-Nan Li, and Rajesh R. Parwani
hep-th/9305005
Multi-field representations of KP hierarchies and multi-matrix models
We discuss the integrable hierarchies that appear in multi--matrix models. They can be envisaged as multi--field representations of the KP hierarchy. We then study the possible reductions of this systems via the Dirac reduction method by suppressing successively one by one part of the fields. We find in this way new in...
1993-05-03
2009-10-22
[ "hep-th" ]
L.Bonora and C.S.Xiong
hep-th/9305002
Quantum Mechanical Interaction-Free Measurements
A novel manifestation of nonlocality of quantum mechanics is presented. It is shown that it is possible to ascertain the existence of an object in a given region of space without interacting with it. The method might have practical applications for delicate quantum experiments.
1993-05-03
2009-10-22
[ "hep-th" ]
Avshalom C. Elitzur and Lev Vaidman