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hep-th/9312054
W-Strings from Affine Lie Algebras
The most disappointing aspect of $\W$-strings is probably the fact that at least for the known models one does not recover a physical spectrum that differs much from that of ordinary string theory. It is hoped that this is not an intrinsic shortcoming of $\W$-string theory, but rather that it is a consequence of the $\...
1993-12-07
2009-10-22
[ "hep-th" ]
J.M. Figueroa-O'Farrill
hep-th/9312052
The Renormalization Group, Entropy, Thermodynamic Phase Transitions and Order in Quantum Field Theory
We define an entropy for a quantum field theory by combining quantum fluctuations, scaling and the maximum entropy concept. This entropy has different behavior in asymptotically free and non--asymptotically free theories. We find that the transition between the two regimes (from the asymptotically free to the non--asym...
1993-12-07
2009-09-25
[ "hep-th", "cond-mat", "hep-ph" ]
J. Perez-Mercader
hep-th/9312045
Generalized NLS Hierarchies from Rational $W$ Algebras
Finite rational $\cw$ algebras are very natural structures appearing in coset constructions when a Kac-Moody subalgebra is factored out. In this letter we address the problem of relating these algebras to integrable hierarchies of equations, by showing how to associate to a rational $\cw$ algebra its corresponding hier...
1993-12-06
2009-10-22
[ "hep-th" ]
Francesco Toppan
hep-th/9312042
The R-matrix structure of the Euler-Calogero-Moser model
We construct the $r$-matrix for the generalization of the Calogero-Moser system introduced by Gibbons and Hermsen. By reduction procedures we obtain the $r$-matrix for the $O(N)$ Euler-Calogero-Moser model and for the standard $A_N$ Calogero-Moser model.
1993-12-06
2009-10-22
[ "hep-th", "nlin.SI", "solv-int" ]
E. Billey, J. Avan, O. Babelon
hep-th/9312043
The Many Faces of a Character
We prove an identity between three infinite families of polynomials which are defined in terms of `bosonic', `fermionic', and `one-dimensional configuration' sums. In the limit where the polynomials become infinite series, they give different-looking expressions for the characters of the two integrable representations ...
1993-12-06
2009-10-22
[ "hep-th" ]
Ezer Melzer
hep-th/9312044
Covariant Anomalies and Functional Determinants
We analize the algebraic structure of consistent and covariant anomalies in gauge and gravitational theories: using a complex extension of the Lie algebra it is possible to describe them in a unified way. Then we study their representations by means of functional determinants, showing how the algebraic solution determi...
1993-12-06
2010-11-01
[ "hep-th" ]
Luca Griguolo
hep-th/9312041
General properties of classical W algebras
After some definitions, we review in the first part of this talk the construction and classification of classical $W$ (super)algebras symmetries of Toda theories. The second part deals with more recently obtained properties. At first, we show that chains of $W$ algebras can be obtained by imposing constraints on some $...
1993-12-06
2008-02-03
[ "hep-th", "math.QA" ]
F. Delduc, L. Frappat, E. Ragoucy and P. Sorba
hep-th/9312040
$W$--geometry of the Toda systems associated with non-exceptional simple Lie algebras
The present paper describes the $W$--geometry of the Abelian finite non-periodic (conformal) Toda systems associated with the $B,C$ and $D$ series of the simple Lie algebras endowed with the canonical gradation. The principal tool here is a generalization of the classical Pl\"ucker embedding of the $A$-case to the flag...
1993-12-06
2009-10-22
[ "hep-th", "math.QA" ]
Jean-Loup Gervais and Mikhail V. Saveliev
hep-th/9312039
A new set of exact form factors
Some mistaken reasonings at the end of the paper omitted.
1993-12-06
2009-10-22
[ "hep-th" ]
F.A. Smirnov
hep-th/9312038
Radiation from a moving Scalar Source
We study classical radiation and quantum bremsstrahlung effect of a moving point scalar source. Our classical analysis provides another example of resolving a well-known apparent paradox, that of whether a constantly accelerating source radiates or not. Quantum mechanically, we show that for a scalar source with arbitr...
1993-12-06
2011-08-17
[ "hep-th" ]
Hai Ren and Erick J. Weinberg
hep-th/9312037
On Pentagon And Tetrahedron Equations
We show that solutions of Pentagon equations lead to solutions of the Tetrahedron equation. The result is obtained in the spectral parameter dependent case.
1993-12-04
2018-08-30
[ "hep-th", "nlin.SI", "solv-int" ]
J. M. Maillet (Laboratoire de Physique Theorique, ENS Lyon, France)
hep-th/9312036
Wormholes in Two Dimensional Dilaton Gravity
It is shown that the general solution of classical equations of motion in two dimensional dilaton gravity proposed by Callan, Giddings, Harvey and Strominger (CGHS) includes a Lorentzian wormhole solution in addition to a black hole solution. We also show that matter perturbation of the wormhole by a shock wave leads t...
1993-12-04
2009-10-22
[ "hep-th" ]
Shin'ichi Nojiri and I. Oda
hep-th/9312029
A Soluble Model for Scattering and Decay in Quaternionic Quantum Mechanics II: Scattering
In a previous paper, it was shown that a soluble model can be constructed for the description of a decaying system in analogy to the Lee-Friedrichs model of complex quantum theory. It is shown here that this model also provides a soluble scattering theory, and therefore constitutes a model for a decay scattering system...
1993-12-03
2009-10-22
[ "hep-th" ]
L. P. Horwitz
hep-th/9312019
Quantum Group Symmetry and Quantum Hall Wavefunctions on a Torus
We find a quantum group structure in two-dimensional motion of nonrelativistic electrons in a uniform magnetic field on a torus. The representation basis of the quantum algebra is composed of the quantum Hall wavefunctions proposed by Haldane-Rezayi at the Landau-level filling factor $\nu=1/m$ ($m$ odd). It is also sho...
1993-12-03
2015-06-26
[ "hep-th" ]
H.-T. Sato
hep-th/9312027
Derivation of Index Theorems by Localization of Path Integrals
We review the derivation of the Atiyah-Singer and Callias index theorems using the recently developed localization method to calculate exactly the relevant supersymmetric path integrals. (Talk given at the III International Conference on Mathematical Physics, String Theory and Quantum Gravity, Alushta, Ukraine, June 13...
1993-12-03
2010-11-01
[ "hep-th", "hep-lat" ]
Antero Hietam\"aki
hep-th/9312026
The Quantum Symmetry of Rational Field Theories
The quantum symmetry of a rational quantum field theory is a finite- dimensional multi-matrix algebra. Its representation category, which determines the fusion rules and braid group representations of superselection sectors, is a braided monoidal C^*-category. Various properties of such algebraic structures are describ...
1993-12-03
2014-11-18
[ "hep-th" ]
J\"urgen Fuchs
hep-th/9312030
Quantum Cosmological Approach to 2d Dilaton Gravity
We study the canonical quantization of the induced 2d-gravity and the pure gravity CGHS-model on a closed spatial section. The Wheeler-DeWitt equations are solved in (spatially homogeneous) choices of the internal time variable and the space of solutions is properly truncated to provide the physical Hilbert space. We e...
1993-12-03
2008-11-26
[ "hep-th" ]
J. Navarro-Salas and C. F. Talavera
hep-th/9312016
The Kazhdan-Lusztig conjecture for finite W-algebras
We study the representation theory of finite W-algebras. After introducing parabolic subalgebras to describe the structure of W-algebras, we define the Verma modules and give a conjecture for the Kac determinant. This allows us to find the completely degenerate representations of the finite W-algebras. To extract the i...
1993-12-03
2011-07-19
[ "hep-th", "math.QA" ]
K. de Vos and P. van Driel
hep-th/9312028
A Soluble Model for Scattering and Decay in Quaternionic Quantum Mechanics I: Decay
The Lee-Friedrichs model has been very useful in the study of decay-scattering systems in the framework of complex quantum mechanics. Since it is exactly soluble, the analytic structure of the amplitudes can be explicitly studied. It is shown in this paper that a similar model, which is also exactly soluble, can be con...
1993-12-03
2009-10-22
[ "hep-th" ]
L. P. Horwitz
hep-th/9312020
Infinite Charge Algebra of Gravitational Instantons
Using a formalism of minitwistors, we derive infinitely many conserved charges for the $sl(\infty )$-Toda equation which accounts for gravitational instantons with a rotational Killing symmetry. These charges are shown to form an infinite dimensional algebra through the Poisson bracket which is isomorphic to two dimens...
1993-12-03
2009-10-22
[ "hep-th" ]
Jens Hoppe and Q-Han Park
hep-th/9312035
Classical and Quantum Integrable Systems in $\wt{\gr{gl}}(2)^{+*}$ and Separation of Variables
Classical integrable Hamiltonian systems generated by elements of the Poisson commuting ring of spectral invariants on rational coadjoint orbits of the loop algebra $\wt{\gr{gl}}^{+*}(2,{\bf R})$ are integrated by separation of variables in the Hamilton-Jacobi equation in hyperellipsoidal coordinates. The canonically q...
1993-12-03
2009-10-22
[ "hep-th", "nlin.SI", "solv-int" ]
John Harnad and P. Winternitz
hep-th/9312021
Fermionic $\theta$ Vacua and Long-Necked Remnants
We study a vacuum polarization effect in the background of certain dilatonic extremal black hole, known as the cornucopion. Whenever the charged fermions are of any finite mass, the gravitational backreaction to a generic value of a $CP$ nonconserving vacuum angle $\theta$ is shown to be important owing to a vacuum ene...
1993-12-03
2010-11-01
[ "hep-th" ]
Piljin Yi
hep-th/9312034
Cinderella Strings
We investigate recent claims concerning a new class of cosmic string solutions in the Weinberg-Salam model. They have the general form of previously discussed semi-local and electroweak strings, but are modified by the presence of a non-zero W-condensate in the core of the string. We explicitly construct such solutions...
1993-12-03
2013-11-13
[ "hep-th", "gr-qc", "hep-ph" ]
A. Achucarro, R. Gregory, J. A. Harvey and K. Kuijken
hep-th/9312033
The Mechanism behind the Embeddings of String Theories
It has been realised recently that there is no unique way to describe the physical states of a given string theory. In particular, it has been shown that any bosonic string theory can be embedded in a particular $N{=}1$ string background in such a way that the spectrum and the amplitudes of both theories agree. Similar...
1993-12-03
2009-10-22
[ "hep-th" ]
J.M. Figueroa-O'Farrill
hep-th/9312031
$R$-matrices for the $n=2,3$ Elliptic Calogero-Moser Models
The classical (dynamical) $R$-matrices for the 2- and 3-body Calogero-Moser models with elliptic potentials are given. The 3-body case has an interesting nontrivial structure that goes beyond the known ansatz for momentum independent $R$-matrices. The $R$-matrices presented include the dynamical $R$-matrices of Avan an...
1993-12-03
2009-10-22
[ "hep-th", "nlin.SI", "solv-int" ]
H. W. Braden and Takashi Suzuki
hep-th/9312018
QCD and Strings in 2D
In two dimensions large N QCD with quarks, defined on the plane, is equivalent to a modified string theory with quarks at the ends and taken in the zero fold sector. The equivalence that was established in 1975 was expressed in the form of an interacting string action that reproduces the spectrum and the 1/N interactio...
1993-12-03
2007-05-23
[ "hep-th" ]
Itzhak Bars
hep-th/9312023
On free differentials on associative algebras
A free differential for an arbitrary associative algebra is defined as a differential with a uniqueness property. The existence problem for such a differential is posed. The notion of optimal calculi for given commutation rules is introduced and an explicit construction of it for a homogenous case is provided. Some exa...
1993-12-03
2008-02-03
[ "hep-th", "math.RA" ]
A. Borowiec, V. K. Kharchenko and Zbigniew Oziewicz
hep-th/9312032
On the integrability of N=2 supersymmetric massive theories
In this paper we propose a criteria to establish the integrability of N=2 supersymmetric massive theories.The basic data required are the vacua and the spectrum of Bogomolnyi solitons, which can be neatly encoded in a graph (nodes=vacua and links= Bogomolnyi solitons). Integrability is then equivalent to the existence ...
1993-12-03
2009-10-22
[ "hep-th" ]
C.Gomez and G.Sierra
hep-th/9312017
Universality and Scaling at the Onset of Quantum Black Hole Formation
In certain two-dimensional models, collapsing matter forms a black hole if and only if the incoming energy flux exceeds the Hawking radiation rate. Near the critical threshold, the black hole mass is given by a universal formula in terms of the distance from criticality, and there exists a scaling solution describing t...
1993-12-03
2009-09-17
[ "hep-th" ]
A. Strominger and L. Thorlacius
hep-th/9312025
Gravitational and Axionic Backgrounds for Four-dimensional Superstrings
We construct new four-dimensional superstring vacua with extended superconformal symmetries. A non-trivial dilaton background implies the existence of Abelian killing symmetries. These are used to construct dual equivalent backgrounds in a way preserving the N=2 superconformal invariance.
1993-12-03
2007-05-23
[ "hep-th" ]
Dieter Luest
hep-th/9312022
Coalgebras, Cocompositions and Cohomology
The (co)homology theory of n-ary (co)compositions is a functor associating to $n$-ary (co)composition a complex. We present unified approach to the cohomology theory of coassociative and Lie coalgebras and for $2n$-ary cocompositions. This approach points to a possible generalization.
1993-12-03
2008-02-03
[ "hep-th", "math.QA" ]
Zbigniew Oziewicz, Eugen Paal and Jerzy R\'o\.za\'nski
hep-th/9312024
Quantum $SU(2,2)$-Harmonic Oscillator
The $SU(2,2)$-harmonic oscillator on the phase space ${\cal A}(2,2)= {SU(2,2)}/{S(U(2)\times U(2))}$ is quantized using the coherent states. The quantum Hamiltonian is the Toeplitz operator corresponding to the square of the distance with respect to the $SU(2,2)$-invariant K\"ahler metric on the phase space. Its spectr...
1993-12-03
2009-10-22
[ "hep-th" ]
Wojciech Mulak
hep-th/9312008
Quantum Group Invariant Integrable n-State Vertex Models with Periodic Boundary Conditions
An $U_q(sl(n))$ invariant transfer matrix with periodic boundary conditions is analysed by means of the algebraic nested Bethe ansatz for the case of $q$ being a root of unity. The transfer matrix corresponds to a 2-dimensional vertex model on a torus with topological interaction w.r.t. the 3-dimensional interior of th...
1993-12-02
2009-10-22
[ "hep-th", "math.QA" ]
M. Karowski and A. Zapletal
hep-th/9312014
Flux-Confinement in Dilatonic Cosmic Strings
We study dilaton-electrodynamics in flat spacetime and exhibit a set of global cosmic string like solutions in which the magnetic flux is confined. These solutions continue to exist for a small enough dilaton mass but cease to do so above a critcal value depending on the magnetic flux. There also exist domain wall and ...
1993-12-02
2010-04-06
[ "hep-th", "gr-qc" ]
G.W. Gibbons, C.G. Wells
hep-th/9312015
On additional symmetries of the KP hierarchy and Sato's B\"acklund transformation
A short proof is given to the fact that the additional symmetries of the KP hierarchy defined by their action on pseudodifferential operators, according to Fuchssteiner-Chen-Lee-Lin-Orlov-Shulman, coincide with those defined by their action on $\tau$-functions as Sato's B\"acklund transformations. Also a new simple for...
1993-12-02
2015-06-26
[ "hep-th" ]
Leonid Dickey
hep-th/9312012
New relations for two-dimensional Hermite polynomials
The effective formulas reducing the two-dimensional Hermite polynomials to the classical (one-dimensional) orthogonal polynomials are given. New one-parameter generating functions for these polynomials are derived. Asymptotical formulas for large values of indices are found. The applications to the squeezed one-mode st...
1993-12-02
2009-10-22
[ "hep-th", "math.CA" ]
V. V. Dodonov and V. I. Man'ko
hep-th/9312013
A W-String Realization of the Bosonic String
It has recently been shown that the ordinary bosonic string can be represented by a special background of N=1 or N=2 strings. In this paper, it will be shown that the bosonic string can also be represented by a special background of $W$-strings.
1993-12-02
2009-10-22
[ "hep-th" ]
Nathan Berkovits, Mike Freeman and Peter West
hep-th/9312009
Classical Field Theory and Analogy Between Newton's and Maxwell's Equations
A bivertical classical field theory include the Newtonian mechanics and Maxwell's electromagnetic field theory as the special cases. This unification allows to recognize the formal analogies among the notions of Newtonian mechanics and Maxwell's electrodynamics.
1993-12-02
2009-10-22
[ "hep-th" ]
Z. Oziewicz
hep-th/9312011
O(N) Vector Models in the Limit $g \rightarrow g_c $ and Finite Temperature
In the limit where $N\to\infty$ and the coupling constant $g \to g_{c}$ in a correlated manner, O(N) symmetric vector models represent filamentary surfaces. The purpose of these studies is to gain intuition for the long lasting search for a possible description of quantum field theory in terms of extended objects. It i...
1993-12-02
2007-05-23
[ "hep-th" ]
Moshe Moshe
hep-th/9312010
Parafermions, $W$ Strings and their BRST Charges
We show how to relate the parafermions that occur in the $W_3$ string to the standard construction of parafermions. This result is then used to show that one of the screening charges that occurs in parafermionic theories is precisely the non-trivial part of the $W_3$ string BRST charge. A way of generalizing this patte...
1993-12-02
2010-12-17
[ "hep-th" ]
Michael Freeman and Peter West
hep-th/9312006
Light Front Ensemble Projector Mont Carlo
A new method to perform numerical simulations of light-front Hamiltonians formulated on transverse lattices is introduced. The method is based on a DLCQ formulation for the (continuous) longitudinal directions. The hopping term in the transverse direction introduces couplings between fields defined on neighboring $1+1$...
1993-12-01
2009-10-22
[ "hep-th", "hep-lat" ]
Matthias Burkardt
hep-th/9311188
A Generalized ``Surfaceless'' Stokes' Theorem
We derive a generalized Stokes' theorem, valid in any dimension and for arbitrary loops, even if self intersecting or knotted. The generalized theorem does not involve an auxiliary surface, but inherits a higher rank gauge symmetry from the invariance under deformations of the surface used in the conventional formulati...
1993-12-01
2008-02-03
[ "hep-th", "alg-geom", "gr-qc", "math.AG" ]
N. Bralic
hep-th/9312005
Einstein-Yang-Mills sphalerons and fermion number non-conservation
It is argued that the sphaleron solutions appearing in the Einstein-Yang-Mills theory are important in the transition processes at extremely high energies. Namely, when the energy exceeds the sphaleron mass, the existence of these solutions ensures constructive interference on the set of the overbarrier transition hist...
1993-12-01
2010-11-01
[ "hep-th", "gr-qc" ]
Mikhail S.Volkov
hep-th/9312007
Compositeness, Triviality and Bounds on Critical Exponents for Fermions and Magnets
We argue that theories with fundamental fermions which undergo chiral symmetry breaking have several universal features which are qualitatively different than those of theories with fundamental scalars. Several bounds on the critical indices $\delta$ and $\eta$ follow. We observe that in four dimensions the logarithmic...
1993-12-01
2009-10-22
[ "hep-th", "cond-mat", "hep-lat" ]
Aleksandar KOCIC and John KOGUT
hep-th/9312001
Explicit Relation of Quantum Hall Effect and Calogero-Sutherland Model
Explicit relation between Laughlin state of the quantum Hall effect and one-dimensional(1D) model with long-ranged interaction ($1/r^2$) is discussed. By rewriting lowest Landau level wave functions in terms of 1D representation, Laughlin state can be written as a deformation of the ground state of Calogero-Sutherland ...
1993-12-01
2009-10-22
[ "hep-th", "cond-mat" ]
Hiroo Azuma and Satoshi Iso
hep-th/9312003
On Induced Gravity in 2-d Topological Theories
We study 2-d $\phi F$ gauge theories with the objective to understand, also at the quantum level, the emergence of induced gravity. The wave functionals - representing the eigenstates of a vanishing flat potential - are obtained in the $\phi$ representation. The composition of the space they describe is then analyzed: ...
1993-12-01
2009-10-22
[ "hep-th" ]
D.Amati S.Elitzur and E.Rabinovici
hep-th/9312002
2D Quantum Gravity Coupled to Renormalizable Matter Fields
We consider two-dimensional quantum gravity coupled to matter fields which are renormalizable, but not conformal invariant. Questions concerning the $\b$ function and the effective action are addressed, and the effective action and the dressed renormalization group equations are determined for various matter potentials...
1993-12-01
2009-10-22
[ "hep-th" ]
Jan Ambjorn and Kazuo Ghoroku
hep-th/9312004
Symplectic structure of the moduli space of flat connections on a Riemann surface
We consider canonical symplectic structure on the moduli space of flat ${\g}$-connections on a Riemann surface of genus $g$ with $n$ marked points. For ${\g}$ being a semisimple Lie algebra we obtain an explicit efficient formula for this symplectic form and prove that it may be represented as a sum of $n$ copies of Ki...
1993-12-01
2008-11-26
[ "hep-th", "math.DG" ]
A. Yu. Alekseev, A. Z. Malkin
hep-th/9311176
Cosmic Censorship Violation for a Class of Supersymmetric Solitons
We study vacuum domain walls in a class of four-dimensional $N=1$ supergravity theories where along with the matter field, forming the wall, there is more than one ``dilaton'', each respecting $SU(1,1)$ symmetry in their sub-sector. We find {\it supersymmetric} (planar, static) walls, interpolaing between Minkowski vac...
1993-11-30
2008-02-03
[ "hep-th", "gr-qc" ]
Mirjam Cvetic and Donam Youm
hep-th/9311179
Particle physics from the noncommutative geometry point of view
Recent development in noncommutative geometry generalization of gauge theory is reviewed. The mathematical apparatus is reduced to minimum in order to allow the non-mathematically oriented physicists to follow the development in the interesting field of research. (Lectures presented at the Silesian School of Theoretica...
1993-11-30
2007-05-23
[ "hep-th", "hep-ph" ]
Jan Sladkowski
hep-th/9311183
Sewing Constraints and Non-Orientable Open Strings
We extend to non-orientable surfaces previous work on sewing constraints in Conformal Field Theory. A new constraint, related to the real projective plane, is described and is used to illustrate the correspondence with a previous construction of open-string spectra.
1993-11-30
2010-11-01
[ "hep-th" ]
D. Fioravanti, G. Pradisi and A. Sagnotti
hep-th/9311189
Correlators of the Jost functions in the Sine-Gordon model
In this paper the quantum direct scattering problem is solved for the Sine-Gordon model. Correlators of the Jost functions are derived by the angular quantization method.
1993-11-30
2009-10-22
[ "hep-th" ]
Sergei Lukyanov
hep-th/9311185
Exact String Theory Instantons by Dimensional Reduction
We identify exact gauge-instanton-like solutions to (super)-string theory using the method of dimensional reduction. We find in particular the Polyakov instanton of 3d QED, and a class of generalized Yang-Mills merons. We discuss their marginal deformations, and show that for the $3d$ instanton they correspond to a dis...
1993-11-30
2011-07-19
[ "hep-th" ]
C. Bachas and E. Kiritsis
hep-th/9311178
Exact S matrices and extended supersymmetry
In this revised version we correct some mistakes, realizing the supersymmetry algebra on the exact S matrix, taking into account several phase factros. We study the constraint imposed by supersymmetry on the exact $S$-matrix of $\Complex P^{n-1}$ model, and compute a non-trivial phase factor in the relation between the...
1993-11-30
2008-02-03
[ "hep-th" ]
E. Abdalla and M.C.B. Abdalla
hep-th/9311187
Strings in Plane Wave Backgrounds Revisited
String theory in an exact plane wave background is explored. A new example of singularity in the sense of string theory for nonsingular spacetime metric is presented. The 4-tachyon scattering amplitude is constructed. The spectrum of states found from the poles in the factorization turns out to be equivalent to that of...
1993-11-30
2009-03-27
[ "hep-th" ]
O. Jofre and C. N\'u\~nez
hep-th/9311186
Spacetime Topology Change: The Physics of Calabi-Yau Moduli Space
We review recent work which has significantly sharpened our geometric understanding and interpretation of the moduli space of certain $N$=2 superconformal field theories. This has resolved some important issues in mirror symmetry and has also established that string theory admits physically smooth processes which can r...
1993-11-30
2008-02-03
[ "hep-th", "alg-geom", "math.AG" ]
P.S.Aspinwall, B.R.Greene, D.R.Morrison
hep-th/9311180
The MFF Singular Vectors in Topological Conformal Theories
It is argued that singular vectors of the topological conformal (twisted $N=2$) algebra are identical with singular vectors of the $sl(2)$ Kac--Moody algebra. An arbitrary matter theory can be dressed by additional fields to make up a representation of either the $sl(2)$ current algebra or the topological conformal alg...
1993-11-30
2015-06-26
[ "hep-th" ]
A.M. Semikhatov
hep-th/9311182
A Topologically Stable Solution in Quantum Electrodynamics
This paper constructs exact classical solutions of the equations of QED. These are constructed in 4+2 dimensional space, which fibers over the usual 3+1 dimensional space-time. The solution is stationary and localised about a topological singularity in space time. The electromagnetic field is that of a point electric c...
1993-11-30
2007-05-23
[ "hep-th" ]
Edwin J. Beggs
hep-th/9311181
Physical Scaling and Renormalization Group in Two-Dimensional Gravity
Quantum gravitational effects on the renormalization group equation are studied in the $(2+\epsilon)$-dimensional approach. Divergences in a matter one-loop effective action do not receive gravitational radiative corrections. The renormalization factor for beta functions recently found by Klebanov, Kogan and Polyakov i...
1993-11-30
2009-10-22
[ "hep-th" ]
Y. Tanii, S. Kojima and N. Sakai
hep-th/9311184
Cross Product Quantisation, Nonabelian Cohomology And Twisting Of Hopf Algebras
This is an introduction to work on the generalisation to quantum groups of Mackey's approach to quantisation on homogeneous spaces. We recall the bicrossproduct models of the author, which generalise the quantum double. We describe the general extension theory of Hopf algebras and the nonAbelian cohomology spaces $\CH^...
1993-11-30
2008-02-03
[ "hep-th", "math.QA" ]
Shahn Majid
hep-th/9311177
On the Problems with Background Independence in String Theory
The problems with background independence are discussed in the example of open string theory. Based on the recent proposal by Witten I calculate the String Field Theory action in conformal perturbation theory to second order and demonstrate that the proper treatment of contact terms leads to nontrivial equations of mot...
1993-11-30
2010-11-01
[ "hep-th" ]
S. Shatashvili
hep-th/9311169
Convergent WKB Series
A set of simple exactly solvable potentials are shown to have convergent WKB series. The resulting all-orders quantisation conditions provide a unified description of all known cases where an exact WKB quantisation condition has been obtained by modifying the potential with Langer-style terms, together with several new...
1993-11-29
2009-10-22
[ "hep-th" ]
David T. Barclay
hep-th/9311172
Symmetries and String Field Theory in D=2
(This talk was presented at the Third International Wigner Symposium on Group Theory, Oxford, September, 1993.) Matrix models provides us with the most powerful framework in which to analyze D=2 string theory, yet some of its miraculous features, such as discrete states and $w(\infty)$, remain rather obscure, because t...
1993-11-29
2007-05-23
[ "hep-th" ]
Michio Kaku
hep-th/9311175
Duality of a Generalized Gauge Invariant Ising Model on Random Surfaces
A generalized gauge invariant Ising model on random surfaces with non-trivial topology is proposed and investigated with the dual transformation. It is proved that the model is self-dual in case of a self-dual lattice. In special cases the model reduces to the known solvable Ising-type models.
1993-11-29
2009-09-25
[ "hep-th" ]
Z.B. Li, B. Zheng and L. Sch\"ulke
hep-th/9311170
Renormalization of current algebra
In this talk I want to explain the operator substractions needed to renormalize gauge currents in a second quantized theory. The case of space-time dimensions $3+1$ is considered in detail. In presence of chiral fermions the renormalization effects a modification of the local commutation relations of the currents by lo...
1993-11-29
2007-05-23
[ "hep-th" ]
Jouko Mickelsson
hep-th/9311165
Local Magnetization in Critical Ising Model with Boundary Magnetic Field
We discribe a simple way to derive spin correlation functions in 2D Ising model at critical temperature but with nonzero magnetic field at the boundary. Local magnetization (i.e. one-point function) is computed explicitly for half-plane and disk geometries.
1993-11-29
2015-06-26
[ "hep-th" ]
R.Chatterjee and A.Zamolodchikov
hep-th/9311166
Levels of U(1)y in Minimal String Model on Z(N)*Z(M) Orbifolds
We study a minimal string model possessing the same massless spectra as the MSSM on $Z_N\times Z_M$ orbifolds. Threshold corrections of the gauge coupling constants of SU(3), SU(2) and U(1)$_Y$ are investigated in a case of an overall modulus. Using computer analyses, we search ranges of levels of U(1)$_Y$ allowed ...
1993-11-29
2010-11-01
[ "hep-th" ]
H.Kawabe, T.Kobayashi and N.Ohtsubo
hep-th/9311174
On the Segregation Phenomenon in Complex Langevin Simulation
In the numerical simulation of certain field theoretical models, the complex Langevin simulation has been believed to fail due to the violation of ergodicity. We give a detailed analysis of this problem based on a toy model with one degree of freedom ($S=-\beta\cos\theta$). We find that the failure is not due to the de...
1993-11-29
2009-10-22
[ "hep-th" ]
K. Fujimura, K. Okano, L. Sch\"ulke, K. Yamagishi and B. Zheng
hep-th/9311168
Poincare Polynomials and Level Rank Dualities in the $N=2$ Coset Construction
We review the coset construction of conformal field theories; the emphasis is on the construction of the Hilbert spaces for these models, especially if fixed points occur. This is applied to the $N=2$ superconformal cosets constructed by Kazama and Suzuki. To calculate heterotic string spectra we reformulate the Gepner...
1993-11-29
2009-10-22
[ "hep-th" ]
Christoph Schweigert
hep-th/9311173
Sub-Critical Closed String Field Theory in D Less Than 26
We construct the second quantized action for sub-critical closed string field theory with zero cosmological constant in dimensions $ 2 \leq D < 26$, generalizing the non-polynomial closed string field theory action proposed by the author and the Kyoto and MIT groups for $D = 26$. The proof of gauge invariance is consid...
1993-11-29
2009-10-22
[ "hep-th" ]
Michio Kaku
hep-th/9311167
Differential Geometry of Toda Systems
In the present paper we give a differential geometry formulation of the basic dynamical principle of the group--algebraic approach \cite{LeS92} --- the grading condition --- in terms of some holomorphic distributions on flag manifolds associated with the parabolic subgroups of a complex Lie group; and a derivation of t...
1993-11-29
2008-02-03
[ "hep-th", "alg-geom", "math.DG" ]
A. V. Razumov and M. V. Saveliev
hep-th/9311171
Kac-Moody Groups and Integrability of Soliton Equations
A new approach to integrability of affine Toda field theories and closely related to them KdV hierarchies is proposed. The flows of a hierarchy are explicitly identified with infinitesimal action of the principal abelian subalgebra of the nilpotent part of the corresponding affine algebra on a homogeneous space. This...
1993-11-29
2008-02-03
[ "hep-th" ]
Boris Feigin and Edward Frenkel
hep-th/9311163
Quantization of U_q[so(2n+1)] with deformed para-Fermi operators
The observation that n pairs of para-Fermi (pF) operators generate the universal enveloping algebra of the orthogonal Lie algebra so(2n+1) is used in order to define deformed pF operators. It is shown that these operators are an alternative to the Chevalley generators. On this background Uq[so(2n+1)] and its "Cartan-We...
1993-11-28
2009-10-22
[ "hep-th" ]
T. D. Palev
hep-th/9311164
Hot Gauge Theories and $Z_{N}$ Phases
In this paper the several aspects of the $Z_{N}$ symmetry in gauge theories at high temperatures are discussed. The metastable $Z_{N}$ bubbles in the $SU(N)$ gauge theories with fermions may have, generically, unacceptable thermodynamic behavior. Their free energy $F \propto T^4$ with a positive proportionality constan...
1993-11-28
2010-11-01
[ "hep-th" ]
Ian I. Kogan
hep-th/9311162
Quantumgroups in the Higgs Phase
In the Higgs phase we may be left with a residual finite symmetry group H of the condensate. The topological interactions between the magnetic- and electric excitations in these so-called discrete H gauge theories are completely described by the Hopf algebra or quantumgroup D(H). In 2+1 dimensional space time we may ad...
1993-11-28
2009-10-22
[ "hep-th" ]
F.A. Bais and M. de Wild Propitius
hep-th/9311161
Nilpotent action on the KdV variables and 2-dimensional Drinfeld-Sokolov reduction
We note that a version ``with spectral parameter'' of the Drinfeld-Sokolov reduction gives a natural mapping from the KdV phase space to the group of loops with values in $\widehat N_{+}/A, \widehat N_{+}$~: affine nilpotent and $A$ principal commutative (or anisotropic Cartan) subgroup~; this mapping is connected to t...
1993-11-28
2009-10-22
[ "hep-th" ]
B. Enriquez
hep-th/9311160
Thermal noise and oscillations of photon distribution for squeezed and correlated light
The oscillations of photon distribution function for squeezed and correlated light are shown to decrease when the temperature increases.The influence of the squeezing parameter and photon quadrature correlation coefficient on the photon distribution oscillations at nonzero temperatures is studied. The connection of def...
1993-11-27
2019-08-17
[ "hep-th" ]
V.V.Dodonov, O.V.Man'ko, V.I.Man'ko and L.Rosa
hep-th/9311159
Effective action for high energy scattering in QCD
The effective action for the multi-Regge asymptotics is considered as a first step in calculating the unitarity correction to the perturbative pomeron. It can be derived from the original QCD action by intgrating out certain modes of the fields in the functional integral. The derivation is described for the case withou...
1993-11-26
2007-05-23
[ "hep-th" ]
R. Kirschner
hep-th/9311157
A Locally Supersymmetric Action for the Bosonic String
Recently Berkovits and Vafa have shown that the bosonic string can be viewed as the fermionic string propagating in a particular background. Such a background is described by a somewhat unusual $N=1$ superconformal system. By coupling it to $N=1$ supergravity I construct a local supersymmetric action for the bosonic st...
1993-11-26
2009-10-22
[ "hep-th" ]
Fiorenzo Bastianelli
hep-th/9311158
The structure of the invariant charge in massive theories with one coupling
Invariance under finite renormalization group (RG) transformations is used to structure the invariant charge in models with one coupling in the 4 lowest orders of perturbation theory. In every order there starts a RG-invariant, which is uniquely continued to higher orders. Whereas in massless models the RG-invariants a...
1993-11-26
2009-10-22
[ "hep-th" ]
Elisabeth Kraus
hep-th/9311152
Gauss hypergeometric function and quadratic $R$-matrix algebras
We consider representations of quadratic $R$-matrix algebras by means of certain first order ordinary differential operators. These operators turn out to act as parameter shifting operators on the Gauss hypergeometric function and its limit cases and on classical orthogonal polynomials. The relationship with W. Miller'...
1993-11-25
2016-09-06
[ "hep-th", "math.CA", "math.QA" ]
Tom H. Koornwinder and Vadim B. Kuznetsov
hep-th/9311148
A Liouville String Approach to Microscopic Time and Cosmology
In the non-critical string framework that we have proposed recently, the time $t$ is identified with a dynamical local renormalization group scale, the Liouville mode, and behaves as a statistical evolution parameter, flowing irreversibly from an infrared fixed point - which we conjecture to be a topological string pha...
1993-11-25
2007-05-23
[ "hep-th", "astro-ph", "gr-qc", "hep-ph" ]
J. Ellis, N. Mavromatos, and D. Nanopoulos
hep-th/9311156
Topological Strings and QCD in Two Dimensions
I present a new class of topological string theories, and discuss them in two dimensions as candidates for the string description of large-$N$ QCD. The starting point is a new class of topological sigma models, whose path integral is localized to the moduli space of harmonic maps from the worldsheet to the target. The ...
1993-11-25
2007-05-23
[ "hep-th" ]
Petr Horava
hep-th/9311155
Invariants of Piecewise-Linear 3-Manifolds
In this paper we develop a theory for constructing an invariant of closed oriented 3-manifolds, given a certain type of Hopf algebra. Examples are given by a quantised enveloping algebra of a semisimple Lie algebra, or by a semisimple involutory Hopf algebra. The invariant is defined by a state sum model on a triangula...
1993-11-25
2008-02-03
[ "hep-th", "math.QA" ]
John W. Barrett and Bruce W. Westbury
hep-th/9311150
Representations and Q-Boson Realization of the Algebra of Functions on the Quantum Group GLq(N)
We present a detailed study of the representations of the algebra of functions on the quantum group $ GL_q(n) $. A q-analouge of the root system is constructed for this algebra which is then used to determine explicit matrix representations of the generators of this algebra. At the end a q-boson realization of the gene...
1993-11-25
2007-05-23
[ "hep-th" ]
V. Karimipour
hep-th/9311154
New integrable hierarchies gauge generated from constrained KP
Exploiting the residual gauge freedom in the formulation of constrained KP hierarchy a number of new integrable systems are derived including hierarchies of Kundu-Eckhaus equation and higher order nonlinear extensions of Yajima-Oikawa and Melnikov hierarchy. In the multicomponent case such gauge freedom generates novel...
1993-11-25
2007-05-23
[ "hep-th" ]
Anjan Kundu and Walter Strampp
hep-th/9311151
The Space of Vector Fields on Q-Groups
We construct the space of vector fields on quantum groups . Its elements are products of the known left invariant vector fields with the elements of the quantum group itself. We also study the duality between vector fields and 1-forms. The construction is easily generalized to tensor fields. A Lie derivative along any ...
1993-11-25
2007-05-23
[ "hep-th" ]
P.Aschieri
hep-th/9311149
A Class of FRT Quantum Groups and Fun$_q$(G$_2$) as a Special Case
Citations are updated; referred papers are increased. An error right after the eq.~(27) is corrected, and several chages (not serious) are made.
1993-11-25
2008-02-03
[ "hep-th", "math.QA" ]
Norihito Sasaki
hep-th/9311153
Derivative and higher order extensions of Davey-Stewartson equation from matrix KP hierarchy
It is shown that the matrix KP hierarchy can yield new integrable equations in $(2+1)$-dimensions along with the corresponding Lax pair. For particular gauge choice this may result derivative and also a higher order nonlinear extension of the Devay-Stewartson equation (DSE),the higher order DSE being a higher dimension...
1993-11-25
2009-10-22
[ "hep-th" ]
Anjan Kundu and Walter Strampp
hep-th/9311145
Optimized Perturbation Methods for the Free Energy of the Anharmonic Oscillator
Two possibile applications of the optimized expansion for the free energy of the quantum-mechanical anharmonic oscillator are discussed. The first method is for the finite temperature effective potential; the second one, for the classical effective potential. The results of both methods show a quick convergence and agr...
1993-11-24
2009-10-22
[ "hep-th" ]
Kostas Vlachos and Anna Okopinska
hep-th/9311147
Uncertainty Relation in Quantum Mechanics with Quantum Group Symmetry
We study the commutation relations, uncertainty relations and spectra of position and momentum operators within the framework of quantum group % symmetric Heisenberg algebras and their (Bargmann-) Fock representations. As an effect of the underlying noncommutative geometry, a length and a momentum scale appear, leading...
1993-11-24
2010-04-06
[ "hep-th" ]
A. Kempf
hep-th/9311146
Conformal Gauge Generators in Liouville Theory
The conformal symmetry in the Liouville theory is analysed by using the Hamiltonian light--front formalism. The boundary conditions of dynamical variables are seen to involve an arbitrary function of time, so that the standard methods for studying gauge symmetries do not work. We develop a general method for constructi...
1993-11-24
2010-04-06
[ "hep-th" ]
M. Blagojevi\'c, M. Vasili\'c and T. Vuka\v{s}inac
hep-th/9311138
Lattice models and $N=2$ supersymmetry
We review the construction of exactly solvable lattice models whose continuum limits are $N=2$ supersymmetric models. Both critical and off-critical models are discussed. The approach we take is to first find lattice models with natural topological sectors, and then identify the continuum limits of these sectors with t...
1993-11-23
2007-05-23
[ "hep-th", "cond-mat" ]
H. Saleur and N.P. Warner
hep-th/9311143
On Periods for String Compactifications
Motivated by recent developments in the computation of periods for string compactifications with $c=9$, we develop a complementary method which also produces a convenient basis for related calculations. The models are realized as Calabi--Yau hypersurfaces in weighted projective spaces of dimension four or as Landau-Gin...
1993-11-23
2008-11-26
[ "hep-th" ]
P. Berglund, E. Derrick, T. H\"ubsch and D. Jancic
hep-th/9311137
On the W-gravity spectrum and its G-structure
We present results for the BRST cohomology of $\cW[\bfg]$ minimal models coupled to $\cW[\bfg]$ gravity, as well as scalar fields coupled to $\cW[\bfg]$ gravity. In the latter case we explore an intricate relation to the (twisted) $\bfg$ cohomology of a product of two twisted Fock modules.
1993-11-23
2008-02-03
[ "hep-th" ]
P. Bouwknegt, J. Mccarthy and K. Pilch
hep-th/9311141
Edge Asymptotics of Planar Electron Densities
The $N\to\infty$ limit of the edges of finite planar electron densities is discussed for higher Landau levels. For full filling, the particle number is correlated with the magnetic flux, and hence with the boundary location, making the $N\to\infty$ limit more subtle at the edges than in the bulk. In the $n^{\rm th}$ La...
1993-11-23
2009-10-22
[ "hep-th", "cond-mat" ]
Gerald Dunne
hep-th/9311139
Note on N=0 string as N=1 string
A similarity transformation, which brings a particular class of the $N=1$ string to the $N=0$ one, is explicitly constructed. It enables us to give a simple proof for the argument recently proposed by Berkovits and Vafa. The $N=1$ BRST operator is turned into the direct sum of the corresponding $N=0$ BRST operator and ...
1993-11-23
2009-10-22
[ "hep-th" ]
H.Ishikawa and M.Kato
hep-th/9311144
Phase Space Isometries and Equivariant Localization of Path Integrals in Two Dimensions
By considering the most general metric which can occur on a contractable two dimensional symplectic manifold, we find the most general Hamiltonians on a two dimensional phase space to which equivariant localization formulas for the associated path integrals can be applied. We show that in the case of a maximally symmet...
1993-11-23
2009-10-22
[ "hep-th" ]
Richard J. Szabo and Gordon W. Semenoff
hep-th/9311140
A transition amplitude on the gauge orbit space
A general procedure for deriving the path integral representation of a transition amplitude on the gauge orbit space having a non-trivial topology is proposed. The path integral formula appears to be modified by including trajectories reflected from the physical configuration space boundary into the sum over paths. A s...
1993-11-23
2007-05-23
[ "hep-th" ]
Sergey V. Shabanov
hep-th/9311142
Bosonization of Coordinate Ring of $U_q(SL(N))$. The Cases of $N=2$ and $N=3$
Non-abelian coordinate ring of $U_q(SL(N))$ (quantum deformation of the algebra of functions) for $N=2,3$ is represented in terms of conventional creation and annihilation operators. This allows to construct explicitly representations of this algebra, which were earlier described in somewhat more abstract algebraic fas...
1993-11-23
2007-05-23
[ "hep-th" ]
A.Morozov