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hep-th/9306118
On the Quantum Symmetry of the Chiral Ising Model
We introduce the notion of rational Hopf algebras that we think are able to describe the superselection symmetries of two dimensional rational quantum field theories. As an example we show that a six dimensional rational Hopf algebra $H$ can reproduce the fusion rules, the conformal weights, the quantum dimensions and ...
1993-06-22
2009-10-22
[ "hep-th" ]
Peter Vecserny\'es
hep-th/9306113
The St\"uckelberg formalism is a field-enlarging transformation
It is shown that the St\"uckelberg formalism can be regarded as a field-enlarging transformation that introduces an additional gauge symmetry to the considered model. The appropriate BRST charge can be defined. The physical state condition, demanding that that a physical state is to be anihilated by the BRST charge, is...
1993-06-22
2008-02-03
[ "hep-th", "hep-ph" ]
J. Sladkowski
hep-th/9306116
Reaction-Diffusion Processes as Physical Realizations of Hecke Algebras
We show that the master equation governing the dynamics of simple diffusion and certain chemical reaction processes in one dimension give time evolution operators (Hamiltonians) which are realizations of Hecke algebras. In the case of simple diffusion one obtains, after similarity transformations, reducible hermitian r...
1993-06-22
2014-11-18
[ "hep-th" ]
F.C.Alcaraz and V. Rittenberg
hep-th/9306111
Antibrackets and Supersymmetric Mechanics
Using odd symplectic structure constructed over tangent bundle of the symplectic manifold, we construct the simple supergeneralization of an arbitrary Hamiltonian mechanics on it. In the case, if the initial mechanics defines Killing vector of some Riemannian metric, corresponding supersymmetric mechanics can be reform...
1993-06-22
2008-02-03
[ "hep-th" ]
Armen Nersessian
hep-th/9306105
Gauged Nambu-Jona-Lasinio Model at O(1/N) with and without a Chern-Simons Term
We solve the gauged Nambu--Jona-Lasinio model at leading order in the large $N$ expansion by computing the anomalous dimensions of all the fields of the model and other gauge independent critical exponents by examining the scaling behaviour of the Schwinger Dyson equation. We then restrict to the three dimensional mode...
1993-06-21
2014-11-18
[ "hep-th" ]
J.A. Gracey
hep-th/9306099
Quantum Clifford-Hopf Algebras for Even Dimensions
In this paper we study the quantum Clifford-Hopf algebras $\widehat{CH_q(D)}$ for even dimensions $D$ and obtain their intertwiner $R-$matrices, which are elliptic solutions to the Yang- Baxter equation. In the trigonometric limit of these new algebras we find the possibility to connect with extended supersymmetry. We ...
1993-06-21
2009-10-22
[ "hep-th" ]
E. Lopez
hep-th/9306106
Computation of $\beta(g_c)$ at O(1/N^2) in the O(N) Gross Neveu Model in Arbitrary Dimensions
By using the corrections to the asymptotic scaling forms of the fields of the $O(N)$ Gross Neveu model to solve the dressed skeleton Schwinger Dyson equations, we deduce the critical exponent corresponding to the $\beta$-function of the model at $O(1/N^2)$.
1993-06-21
2015-06-26
[ "hep-th" ]
J.A. Gracey
hep-th/9306101
Remarks on the renormalization of gauge invariant operators in Yang-Mills theory
A simplified proof of a theorem by Joglekar and Lee on the renormalization of local gauge invariant operators in Yang-Mills theory is given. It is based on (i) general properties of the antifield-antibracket formalism; and (ii) well-established results on the cohomology of semi-simple Lie algebras.
1993-06-21
2009-10-22
[ "hep-th" ]
M. Henneaux
hep-th/9306097
Black Hole Physics from Two Dimensional Dilaton Gravity based on $SL(2,R)/U(1)$ Coset Model
We analyze quantum two dimensional dilaton gravity model, which is described by $SL(2,R)/U(1)$ gauged Wess-Zumino-Witten model deformed by $(1,1)$ operator. We show that the curvature singularity does not appear when the central charge $c_{\rm matter}$ of the matter fields is given by $22<c_{\rm matter}<24$. When $22<c...
1993-06-21
2009-10-22
[ "hep-th" ]
Shin'ich Nojiri and Ichiro Oda
hep-th/9306100
Ghosts of ghosts for second class constraints
When one uses the Dirac bracket, second class constraints become first class. Hence, they are amenable to the BRST treatment characteristic of ordinary first class constraints. This observation is the starting point of a recent investigation by Batalin and Tyutin, in which all the constraints are put on the same footin...
1993-06-21
2009-10-22
[ "hep-th" ]
M. Henneaux
hep-th/9306096
Elliptic Genera and N=2 Superconformal Field Theory
Recently Witten proposed to consider elliptic genus in $N=2$ superconformal field theory to understand the relation between $N=2$ minimal models and Landau-Ginzburg theories. In this paper we first discuss the basic properties satisfied by elliptic genera in $N=2$ theories. These properties are confirmed by some fundam...
1993-06-21
2009-02-23
[ "hep-th", "alg-geom", "math.AG" ]
Toshiya Kawai, Yasuhiko Yamada and Sung-Kil Yang
hep-th/9306102
Construction of the classical $R$-matrices for the Toda and Calogero models
We use the definition of the Calogero-Moser models as Hamiltonian reductions of geodesic motions on a group manifold to construct their $R$-matrices. In the Toda case, the analogous construction yields constant $R$-matrices. By contrast, for Calogero-Moser models they are dynamical objects.
1993-06-21
2007-05-23
[ "hep-th" ]
J. Avan, O.Babelon, M.Talon
hep-th/9306098
Gauge Field, Parity and Uncertainty Relation of Quantum Mechanics on S^1
We consider the uncertainty relation between position and momentum of a particle on $ S^1 $ (a circle). Since $ S^1 $ is compact, the uncertainty of position must be bounded. Consideration on the uncertainty of position demands delicate treatment. Recently Ohnuki and Kitakado have formulated quantum mechanics on $ S^D ...
1993-06-21
2017-02-01
[ "hep-th" ]
Shogo Tanimura
hep-th/9306104
Space-Time Transitions in String Theory
Simple mean field methods can be used to describe transitions between different space-time models in string theory. These include transitions between different Calabi-Yau manifolds, and more exotic things such as the Calabi-Yau/Landau-Ginzberg correspondence.
1993-06-21
2008-02-03
[ "hep-th" ]
Edward Witten
hep-th/9306109
A New Approach to the Green-Schwarz Superstring
By replacing two of the bosonic scalar superfields of the N=2 string with fermionic scalar superfields (which shifts $d_{critical}$ from (2,2) to (9,1)), a quadratic action for the ten-dimensional Green-Schwarz superstring is obtained. Using the usual N=2 super-Virasoro ghosts, one can construct a BRST operator, pictur...
1993-06-21
2007-05-23
[ "hep-th" ]
Nathan Berkovits
hep-th/9306110
U(N) Gauge Theory and Lattice Strings
The U(N) gauge theory on a D-dimensional lattice is reformulated as a theory of lattice strings (a statistical model of random surfaces). The Boltzmann weights of the surfaces can have both signs and are tuned so that the longitudinal modes of the string are elliminated. The U(\infty) gauge theory is described by nonin...
1993-06-21
2008-02-03
[ "hep-th" ]
I.K. Kostov
hep-th/9306107
Computation of Critical Exponent \eta at O(1/N^3) in the Four Fermi Model in Arbitrary Dimensions
We solve the conformal bootstrap equations of the four fermi model or $O(N)$ Gross Neveu model to deduce the fermion anomalous dimension of the theory at $O(1/N^3)$ in arbitrary dimensions.
1993-06-21
2015-06-26
[ "hep-th" ]
J.A. Gracey
hep-th/9306103
Mapping between the Sinh-Gordon and Ising Models
The $S$-matrix of the Ising Model can be obtained as particular limit of the roaming trajectories associated to of the $S$-matrix of the Sinh-Gordon model. Using the form factors of the Sinh-Gordon, we analyse the correspondence between the operators of the two theories.
1993-06-21
2009-10-22
[ "hep-th" ]
C. Ahn, G. Delfino and G. Mussardo
hep-th/9306094
Exact Multiplicities in the Three-Anyon Spectrum
Using the symmetry properties of the three-anyon spectrum, we obtain exactly the multiplicities of states with given energy and angular momentum. The results are shown to be in agreement with the proper quantum mechanical and semiclassical considerations, and the unexplained points are indicated.
1993-06-20
2014-11-18
[ "hep-th", "cond-mat" ]
Stefan V. Mashkevich
hep-th/9306095
Supersymmetry and Black Holes
We consider static black holes, which are bosonic solutions of supersymmetric theories. We will show that supersymmetry provides a natural framework for a discussion of various properties of such static black holes. The most fundamental property of simple global supersymmetry, non-negativeness of the energy, is general...
1993-06-20
2008-02-03
[ "hep-th" ]
Renata Kallosh
hep-th/9306108
Electrodynamics with Weinberg's Photons
The interaction of the spinor field with the Weinberg's $2(2S+1)$- component massless field is considered. New interpretation of the Weinberg's spinor is proposed. The equation analogous to the Dirac oscillator is obtained.
1993-06-20
2007-05-23
[ "hep-th", "hep-ph" ]
Valeri V. Dvoeglazov
hep-th/9306093
Universal exponential solution of the Yang-Baxter equation
Exponential solutions of the Yang-Baxter equation give rise to generalized Schubert polynomials and corresponding symmetric functions. We provide several descriptions of the local stationary algebra defined by this equation. This allows to construct various exponential solutions of the YBE. The $B_n$ and $G_2$ cases ar...
1993-06-19
2009-10-22
[ "hep-th", "math.QA" ]
Sergey Fomin, Anatol N. Kirillov
hep-th/9306083
Information in Black Hole Radiation
If black hole formation and evaporation can be described by an $S$ matrix, information would be expected to come out in black hole radiation. An estimate shows that it may come out initially so slowly, or else be so spread out, that it would never show up in an analysis perturbative in $M_{Planck}/M$, or in 1/N for two...
1993-06-18
2009-10-22
[ "hep-th", "gr-qc" ]
Don N. Page
hep-th/9306086
Measurement of Nonlocal Variables without Breaking Causality
We report results of an investigation of relativistic causality constraints on the measurability of nonlocal variables. We show that measurability of certain nondegenerate variables with entangled eigenstates contradicts the principle of causality, but that there are other, certainly nonlocal, variables which can be me...
1993-06-18
2007-05-23
[ "hep-th" ]
Lev Vaidman
hep-th/9306087
Causality Constraints on Nonlocal Quantum Measurements
Consequences of relativistic causality for measurements of nonlocal characteristics of composite quantum systems are investigated. It is proved that verification measurements of entangled states necessarily erase local information. A complete analysis of measurability of nondegenerate spin operators of a system of two ...
1993-06-18
2009-10-22
[ "hep-th" ]
Sandu Popescu and Lev Vaidman
hep-th/9306085
Killing Spinor Identities
We have found generic Killing spinor identities which bosonic equations of motion have to satisfy in supersymmetric theories if the solutions admit Killing spinors. Those identities constrain possible quantum corrections to bosonic solutions with unbroken supersymmetries. As an application we show that purely electric ...
1993-06-18
2007-05-23
[ "hep-th" ]
Renata Kallosh and Tomas Ortin
hep-th/9306082
Mass vs. Charge: Quantum Radiation from Zero Temperature Black Holes
We study the mass-charge relation for the semiclassical extremal black hole of the $S$-wave sector Einstein-Maxwell theory coupled to $N$ conformal scalars. The classical ratio $M/{|Q|}=1$ is shown to be modified to $M/{|Q|} \simeq 1-k/6$ for small $ k \equiv N\hbar/(12\pi Q^{2})$. Furthermore, numerical study for $k<2...
1993-06-18
2010-11-01
[ "hep-th", "gr-qc" ]
Jaemo Park and Piljin Yi
hep-th/9306084
The SU(N) Wilson Loop Average in 2 Dimensions
We solve explicitly a closed, linear loop equation for the SU(2) Wilson loop average on a two-dimensional plane and generalize the solution to the case of the SU(N) Wilson loop average with an arbitrary closed contour. Furthermore, the flat space solution is generalized to any two-dimensional manifold for the SU(2) Wil...
1993-06-18
2009-10-22
[ "hep-th" ]
Esa Karjalainen
hep-th/9306088
The Space of Solutions of Toda Field Theory
A new parameterisation of the solutions of Toda field theory is introduced. In this parameterisation, the solutions of the field equations are real, well-defined functions on space-time, which is taken to be two-dimensional Minkowski space or a cylinder. The global structure of the covariant phase space of Toda theory ...
1993-06-18
2010-04-06
[ "hep-th" ]
G. Papadopoulos and B. Spence
hep-th/9306092
Induced quantum numbers in the (2+1)-dimensional electron gas
A gas of electrons confined to a plane is examined in both the relativistic and nonrelativistic case. Using a (0+1)-dimensional effective theory, a remarkably simple method is proposed to calculate the spin density induced by an uniform magnetic background field. The physical properties of possible fluxon excitations a...
1993-06-18
2009-10-22
[ "hep-th" ]
Adrian Neagu and Adriaan M.J. Schakel
hep-th/9306090
Is the Polyakov path integral prescription too restrictive?
In the first quantised description of strings, we integrate over target space co-ordinates $X^\mu$ and world sheet metrics $g_{\alpha\beta}$. Such path integrals give scattering amplitudes between the `in' and `out' vacuua for a time-dependent target space geometry. For a complete description of `particle creation' a...
1993-06-18
2007-05-23
[ "hep-th", "gr-qc" ]
Samir D. Mathur
hep-th/9306091
The Master Field of QCD$_2$ and the 'T Hooft Equation
We rewrite the action for $QCD_2$ in the light cone gauge only in terms of a bilocal mesonic field. In this formalism the $1/N$ expansion can be done in a straightforward way by a saddle point technique that determines the master field to be identified with the vacuum expectation value of the bilocal field. Finally we ...
1993-06-18
2015-06-26
[ "hep-th" ]
M. Cavicchi, P. Di Vecchia and I. Pesando
hep-th/9306089
Boundary K-matrices for the XYZ, XXZ AND XXX spin chains
The general solutions for the factorization equations of the reflection matrices $K^{\pm}(\theta)$ for the eight vertex and six vertex models (XYZ, XXZ and XXX chains) are found. The associated integrable magnetic Hamiltonians are explicitly derived, finding families dependig on several continuous as well as discrete p...
1993-06-18
2009-10-22
[ "hep-th", "nlin.SI", "solv-int" ]
H. J. de Vega and A. Gonz\'alez--Ruiz
hep-th/9306128
Representations of the compact quantum group $SU_q(N)$ and geometrical quantization
The method of geometrical quantization of symplectic manifolds is applied to constructing infinite dimensional irreducible unitary representations of the algebra of functions on the compact quantum group $SU_q(2)$. A formulation of the method for the general case $SU_q(n)$ is suggested. (This work is the English versio...
1993-06-17
2009-10-22
[ "hep-th", "math.QA" ]
G. E. Arutyunov
hep-th/9306077
On the Large N Limit of the Itzykson-Zuber Integral
We study the large N limit of the Itzykson -- Zuber integral and show that the leading term is given by the exponent of an action functional for the complex inviscid Burgers (Hopf) equation evaluated on its particular classical solution; the eigenvalue densities that enter in the IZ integral being the imaginary parts o...
1993-06-17
2009-10-22
[ "hep-th" ]
A. Matytsin
hep-th/9306079
Osp(1|2) and Sl(2) Reductions in Generalised Super-Toda Models and Factorization of Spin 1/2 Fields
I show that the classical Toda models built on superalgebras, and obtained from a reduction with respect to an $Sl(2)$ algebra, are "linearly supersymmetrizable" (by adding spin 1/2 fields) if and only if the $Sl(2)$ is the bosonic part of an $OSp(1|2)$ algebra. In that case, the model is equivalent to the one construc...
1993-06-17
2009-10-22
[ "hep-th" ]
E. Ragoucy
hep-th/9306080
Topological Sigma-Models in Four Dimensions and Triholomorphic Maps
It is well-known that topological sigma-models in 2 dimensions constitute a path-integral approach to the study of holomorphic maps from a Riemann surface S to an almost complex manifold K, the most interesting case being that where K is a Kahler manifold. We show that, in the same way, topological sigma-models in 4 di...
1993-06-17
2009-10-22
[ "hep-th" ]
Damiano Anselmi and Pietro Fre'
hep-th/9306081
Matrix Models and Integrable C<1 Open String Theories
No change at all but this time is possible to typset it!.
1993-06-17
2010-11-01
[ "hep-th" ]
Laurent Houart
hep-th/9306078
A formula for the static potential energy in quantum gravity
We give a general expression for the static potential energy of the gravitational interaction of two massive particles, in terms of an invariant vacuum expectation value of the quantized gravitational field. This formula holds for functional integral formulations of euclidean quantum gravity, regularized to avoid confo...
1993-06-17
2008-02-03
[ "hep-th" ]
Giovanni Modanese (Center for Theoretical Physics, M.I.T., Cambridge, MA U.S.A.)
hep-th/9306070
Cosmological Model in 2d Dilaton Gravity
We apply CGHS-type dilaton gravity model to (1+1)-dimensional cosmological situations. First the behavior of a compact 1-dimensional universe (i.e. like a closed string) is classified on the assumption of homogeneity of universe. Several interesting solutions are found, which include a Misner-type universe having c...
1993-06-16
2008-11-26
[ "hep-th" ]
Takashi Mishima and Akika Nakamichi
hep-th/9306069
The Stretched Horizon and Black Hole Complementarity
Three postulates asserting the validity of conventional quantum theory, semi-classical general relativity and the statistical basis for thermodynamics are introduced as a foundation for the study of black hole evolution. We explain how these postulates may be implemented in a ``stretched horizon'' or membrane descripti...
1993-06-16
2009-10-07
[ "hep-th", "gr-qc" ]
L. Susskind, L. Thorlacius, and J. Uglum
hep-th/9306076
Exact Wavefunctions for non-Abelian Chern-Simons Particles
Exact wavefunctions for N non-Abelian Chern-Simons (NACS) particles are obtained by the ladder operator approach. The same method has previously been applied to construct exact wavefunctions for multi-anyon systems. The two distinct base states of the NACS particles that we use are multi-valued and are defined in terms...
1993-06-16
2014-11-18
[ "hep-th", "cond-mat" ]
Hoi-Kwong Lo
hep-th/9306074
Breakdown of Duality in (0,2) Superstring Models
After pointing out the role of the compactification lattice for spectrum calculations in orbifold models, I discuss modular discrete symmetry groups for $Z_N$ or\-bi\-folds. I consider the $Z_7$ orbifold as a nontrivial example of a (2,2) model and give the generators of the modular group for this case, which does not ...
1993-06-16
2007-05-23
[ "hep-th" ]
Jens Erler
hep-th/9306075
(Constrained) Quantization Without Tears
An alternative to Dirac's constrained quantization procedure is explained.
1993-06-16
2007-05-23
[ "hep-th" ]
R. Jackiw
hep-th/9306073
Topological Excitations in Compact Maxwell-Chern-Simons Theory
We construct a lattice model of compact (2+1)-dimensional Maxwell-Chern- Simons theory, starting from its formulation in terms of gauge invariant quantities proposed by Deser and Jackiw. We thereby identify the topological excitations and their interactions. These consist of monopolo- antimonopole pairs bounded by stri...
1993-06-16
2009-10-22
[ "hep-th", "cond-mat", "hep-lat" ]
M.C. Diamantini, P. Sodano and C. A. Trugenberger
hep-th/9306072
A Unified Scheme for Modular Invariant Partition Functions of WZW Models
We introuduce a unified method which can be applied to any WZW model at arbitrary level to search systematically for modular invariant physical partition functions. Our method is based essentially on modding out a known theory on group manifold $G$ by a discrete group $\Gamma$. We apply our method to $\widehat {su(n)...
1993-06-16
2009-10-22
[ "hep-th" ]
M. R. Abolhassani and F. Ardalan
hep-th/9306071
The 2-Parametric Extension of $h$ Deformation of $GL(2)$, and The Differential Calculus on Its Quantum Plane
We present an alternative 2-parametric deformation $ GL(2)_{h,h'} $ , and construct the differential calculus on the quantum plane on which this quantum group acts. Also we give a new deformation of the two dimensional Heisenberg algebra
1993-06-16
2015-06-26
[ "hep-th" ]
Amir Aghamohammadi
hep-th/9306066
Relativistic Generalization and Extension to the Non-Abelian Gauge Theory of Feynman's Proof of the Maxwell Equations
R.P. Feynman showed F.J. Dyson a proof of the Lorentz force law and the homogeneous Maxwell equations, which he obtained starting from Newton's law of motion and the commutation relations between position and velocity for a single nonrelativistic particle. We formulate both a special relativistic and a general relativi...
1993-06-15
2015-06-26
[ "hep-th" ]
Shogo Tanimura
hep-th/9306068
Are There Topologically Charged States Associated with Quantum Electrodynamics ?
We present a formulation of Quantum Electrodynamics in terms of an antisymmetric tensor gauge field. In this formulation the topological current of this field appears as a source for the electromagnetic field and the topological charge therefore acts physically as an electric charge. The charged states of QED lie in th...
1993-06-15
2015-06-26
[ "hep-th" ]
E.C.Marino
hep-th/9306067
Anomaly through Gauge Invariant Regularization with Infinite Number of Pauli-Villars Fields
Abelian anomaly is examined by means of the recently proposed gauge invariant regularization for SO(10) chiral gauge theory and its generalization for a theory of arbitrary gauge group with anomaly-free chiral fermion contents. For both cases it is shown that the anomaly with correct normalization can be obtained in a ...
1993-06-15
2009-10-22
[ "hep-th", "hep-lat" ]
S. Aoki and Y. Kikukawa
hep-th/9306065
Fermions from photons: Bosonization of QED in 2+1 dimensions
We perform the complete bosonization of 2+1 dimensional QED with one fermionic flavor in the Hamiltonian formalism. The Fermi operators are explicitly constructed in terms of the vector potential and the electric field. We carefully specify the regularization procedure involved in the definition of these operators, and...
1993-06-14
2015-06-26
[ "hep-th" ]
A. Kovner and P. S. Kurzepa
hep-th/9306061
Quantum Clifford Algebras
Quantum multiparameter deformation of real Clifford algebras is proposed. The corresponding irreducible representations are found.
1993-06-14
2008-02-03
[ "hep-th" ]
T. Brzezinski, L.C. Papaloucas, J. Rembielinski
hep-th/9306063
A Matrix Model Black Hole
In this paper the $c=1$ matrix model deformed by a $1/x^{2}$ piece is discussed. Tachyon correlation functions are calculated up to genus two using methods similar to those for the undeformed case. The possible connection with the two dimensional black hole is also considered. In particular, restrictions on naked singu...
1993-06-14
2009-10-22
[ "hep-th" ]
Ulf H. Danielsson
hep-th/9306062
Casimir operators of the exceptional group G2
We calculate the degree 2 and 6 Casimirs operators in explicit form, with the generators of G2 written in terms of the subalgebra A2
1993-06-14
2009-10-22
[ "hep-th" ]
A.M. Bincer and K. Riesselmann
hep-th/9306064
Chiral phase dependence of fermion partition function in two dimension
The chiral phase dependence of fermion partition function in spherically symmetric U(1) gauge field background is analyzed in two dimensional space-time. A well-defined method to calculated the path integral which apply to the continuous fermion spectrum is described. The one-to-one correspondence between the nonzero e...
1993-06-14
2007-05-23
[ "hep-th" ]
Hisashi Kikuchi
hep-th/9306060
Separation of Variables and Exactly Soluble Time-Dependent Potentials in Quantum Mechanics
We use separation of variables as a tool to identify and to analyze exactly soluble time-dependent quantum mechanical potentials. By considering the most general possible time-dependent re-definition of the spatial coordinate, as well as general transformations on the wavefunctions, we show that separation of variables...
1993-06-13
2007-05-23
[ "hep-th" ]
Costas John Efthimiou and Donald Spector
hep-th/9306059
Extensions of 2D Gravity
After reviewing some aspects of gravity in two dimensions, it is shown that non-trivial embeddings of sl(2) in a semi-simple (super) Lie algebra give rise to a very large class of extensions of 2D gravity. The induced action is constructed as a gauged WZW model and an exact expression for the effective action is given....
1993-06-13
2014-11-18
[ "hep-th" ]
A. Sevrin
hep-th/9306058
Representations of The Coordinate Ring of $ GL_{q}(n) $}
It is shown that the finite dimensional irreducible representations of the quantum matrix algebra $ M_q(n) $ ( the coordinate ring of $ GL_q(n) $ ) 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^N \over 2^k } $ where $ N = {n(n...
1993-06-12
2007-05-23
[ "hep-th" ]
Vahid Karimipour
hep-th/9306057
Spacetime Variable Superstring Vacua
In a general superstring vacuum configuration, the `internal' space (sector) varies in spacetime. When this variation is non-trivial only in two space-like dimensions, the vacuum contains static cosmic strings with finite energy per unit length and which is, up to interactions with matter, an easily computed topologica...
1993-06-11
2015-06-26
[ "hep-th" ]
Paul S. Green and Tristan Hubsch
hep-th/9306053
Combinatorial $B_n$-analogues of Schubert polynomials
Combinatorial $B_n$-analogues of Schubert polynomials and corresponding symmetric functions are constructed from an exponential solution of the $B_n$-Yang-Baxter equation that involves the nilCoxeter algebra of the hyperoctahedral group.
1993-06-11
2008-02-03
[ "hep-th", "math.CO" ]
Sergey Fomin, Anatol N. Kirillov
hep-th/9306054
Anomaly candidates and invariants of D=4, N=1 supergravity theories
All anomaly candidates and the form of the most general invariant local action are given for old and new minimal supergravity, including the cases where additional Yang--Mills and chiral matter multiplets are present. Furthermore nonminimal supergravity is discussed. In this case local supersymmetry itself may be anoma...
1993-06-11
2010-04-06
[ "hep-th" ]
Friedemann Brandt
hep-th/9306055
Chern - Simons Gauge Field Theory of Two - Dimensional Ferromagnets
A Chern-Simons gauged Nonlinear Schr\"odinger Equation is derived from the continuous Heisenberg model in 2+1 dimensions. The corresponding planar magnets can be analyzed whithin the anyon theory. Thus, we show that static magnetic vortices correspond to the self-dual Chern - Simons solitons and are described by the Li...
1993-06-11
2009-10-22
[ "hep-th" ]
L. Martina(1), O. K. Pashaev(2) and G. Soliani(1) ((1)Dipartimento di Fisica dell'Universita' and (2)Sezione INFN, Lecce, Italy Joint Institute for Nuclear Research)
hep-th/9306056
Mass Spectrum and Correlation Functions of Nonabelian Quantum Magnetic Monopoles
The method of quantization of magnetic monopoles based on the order-disorder duality existing between the monopole operator and the lagrangian fields is applied to the description of the quantum magnetic monopoles of `t Hooft and Polyakov in the SO(3) Georgi-Glashow model. The commutator of the monopole operator with...
1993-06-11
2009-10-22
[ "hep-th" ]
E.C.Marino and R.O.Ramos
hep-th/9306050
Canonical Chern-Simons Theory and the Braid Group on a Riemann Surface
We examine the problem of determining which representations of the braid group on a Riemann surface are carried by the wave function of a quantized Abelian Chern-Simons theory interacting with non-dynamical matter. We generalize the quantization of Chern-Simons theory to the case where the coefficient of the Chern-Simo...
1993-06-10
2011-07-19
[ "hep-th", "math.QA" ]
Mario Bergeron and Gordon Semenoff
hep-th/9306052
Black and super p-branes in diverse dimensions
We present a generic Lagrangian, in arbitrary spacetime dimension $D$, describing the interaction of a dilaton, a graviton and an antisymmetric tensor of arbitrary rank $d$. For each $D$~and~$d$, we find ``solitonic'' black $\tilde{p}$-brane solutions where $\tilde{p} = \tilde{d} - 1$~and~ $\tilde d = D - d - 2$. These...
1993-06-10
2009-10-22
[ "hep-th" ]
M. J. Duff and J. X. Lu
hep-th/9306051
Thirring Model with Non-conserved Chiral Charge
We study the Abelian Thirring Model when the fermionic fields have non-conserved chiral charge: $\Delta {\cal Q}_5 =N$. One of the main features we find for this model is the dependence of the Virasoro central charge on both the Thirring coupling constant and $N$. We show how to evaluate correlation functions and in pa...
1993-06-10
2009-10-22
[ "hep-th" ]
D.C.Cabra, E.F.Moreno and C.M.Na\'on
hep-th/9306047
String Quantum Symmetries and the SL(2,Z) Group
We prove, using arguments relying only on the "special K\"ahler" structure of the moduli space of the Calabi-Yau three-fold, that in the case of one single modulus the quantum modular group of the string effective action corresponding to Calabi-Yau vacua can not be SL(2,${Z\kern -4.6pt Z}$).
1993-06-09
2009-10-22
[ "hep-th" ]
M. Cadoni
hep-th/9306046
Comment on thickness-corrections to Nambu-wall
We comment on some calculations concerning the finite-thickness corrections to the (generalized) Nambu action for a curved domain wall in Minkowski space. Contrary to a recent claim in the literature, we find no first order corrections in the wall-thickness, and only one second order correction proportional to the Ricc...
1993-06-09
2009-10-22
[ "hep-th" ]
A.L. Larsen
hep-th/9306049
The class of universality of integrable and isotropic GL(N) mixed magnets
We discuss a class of transfer matrix built by a particular combination of isomorphic and non-isomorphic GL(N) invariant vertex operators. We construct a conformally invariant magnet co nstituted of an alternating mixture of GL(N) ``spins'' operators at different order of represent ation. The corresponding central char...
1993-06-09
2016-09-06
[ "hep-th" ]
S.R. Aladim and M.J. Martins
hep-th/9306048
String Phase Transitions in a Strong Magnetic Field
We consider open strings in an external constant magnetic field $H$. For an (infinite) sequence of critical values of $H$ an increasing number of (highest spin component) states lying on the first Regge trajectory becomes tachyonic. In the limit of infinite $H$ all these states are tachyons (with a common tachyonic mas...
1993-06-09
2010-11-01
[ "hep-th" ]
Sergio Ferrara and Massimo Porrati
hep-th/9306041
Black Holes and Quantum Predictability
A brief review of the confrontation between black hole physics and quantum-mechanical unitarity is presented. Possibile reconciliations are modifying the laws of physics to allow fundamental loss of information, escape of information during the Hawking process, or black hole remnants. Each of these faces serious object...
1993-06-08
2008-02-03
[ "hep-th", "gr-qc" ]
S.B. Giddings
hep-th/9306043
Some Remarks About the Two-Matrix Penner Model and the Kazakov-Migdal Model
I consider the Hermitean two-matrix model with a logarithmic potential which is associated in the one-matrix case with the Penner model. Using loop equations I find an explicit solution of the model at large N (or in the spherical approximation) and demonstrate that it solves the corresponding Riemann-Hilbert problem. ...
1993-06-08
2009-10-22
[ "hep-th" ]
Yu. Makeenko
hep-th/9306045
Extended Structures in Topological Quantum Field Theory
In this note, based on a conference talk, we show how a 3 dimensional topological field theory leads to an algebraic gadget roughly equivalent to a quantum group. This is an expository version of some material in hep-th/9212115 (where we also carry out computations for a specific finite example). We also explain how to...
1993-06-08
2007-05-23
[ "hep-th" ]
Daniel S. Freed
hep-th/9306044
On the Operator Content of the Sinh-Gordon Model
We classify the operator content of local hermitian scalar operators in the Sinh-Gordon model by means of independent solutions of the form-factor bootstrap equations. The corresponding linear space is organized into a tower-like structure of dimension $n$ for the form factors $F_{2n}$ and $F_{2n-1}$. Analyzing the clu...
1993-06-08
2009-10-22
[ "hep-th" ]
A. Koubek and G. Mussardo
hep-th/9306038
BRST analysis of N=2 superconformal minimal unitary models in Coulomb gas formalism
We perform a BRST analysis of the N=2 superconformal minimal unitary models. A bosonic as well as fermionic BRST operators are used to construct irreducible representations of the N=2 superconformal algebra on the Fock space as BRST cohomology classes of the BRST operators. Also a character formula is rederived by usin...
1993-06-07
2010-11-01
[ "hep-th" ]
Katsuyuki Sugiyama
hep-th/9306036
Finite dimensional representations of $U_q(C(n+1))$ at arbitrary $q$
A method is developed to construct irreducible representations(irreps) of the quantum supergroup $U_q(C(n+1))$ in a systematic fashion. It is shown that every finite dimensional irrep of this quantum supergroup at generic $q$ is a deformation of a finite dimensional irrep of its underlying Lie superalgebra $C(n+1)$, an...
1993-06-07
2009-10-22
[ "hep-th", "math.QA" ]
R. B. Zhang
hep-th/9306040
Hidden invariance of the free classical particle
A formalism describing the dynamics of classical and quantum systems from a group theoretical point of view is presented. We apply it to the simple example of the classical free particle. The Galileo group $G$ is the symmetry group of the free equations of motion. Consideration of the free particle Lagrangian semi-inva...
1993-06-07
2016-08-17
[ "hep-th" ]
Santiago Garc\'ia
hep-th/9306039
Equation of State of an Anyon Gas in a Strong Magnetic Field
The statistical mechanics of an anyon gas in a magnetic field is addressed. An harmonic regulator is used to define a proper thermodynamic limit. When the magnetic field is sufficiently strong, only exact $N$-anyon groundstates, where anyons occupy the lowest Landau level, contribute to the equation of state. Particula...
1993-06-07
2009-10-22
[ "hep-th" ]
Alain DASNI\`ERES de VEIGY and St\a'ephane OUVRY (Division de Physique Th\'eorique, IPN Orsay Fr-91406)
hep-th/9306042
Fredholm Determinants, Differential Equations and Matrix Models
Orthogonal polynomial random matrix models of NxN hermitian matrices lead to Fredholm determinants of integral operators with kernel of the form (phi(x) psi(y) - psi(x) phi(y))/x-y. This paper is concerned with the Fredholm determinants of integral operators having kernel of this form and where the underlying set is a ...
1993-06-07
2009-07-11
[ "hep-th", "math-ph", "math.MP", "nlin.SI", "solv-int" ]
Craig A. Tracy and Harold Widom
hep-th/9306037
Correlators of the Kazakov-Migdal Model
We derive loop equations for the one-link correlators of gauge and scalar fields in the Kazakov-Migdal model. These equations determine the solution of the model in the large N limit and are similar to analogous equations for the Hermitean two-matrix model. We give an explicit solution of the equations for the case of ...
1993-06-07
2015-06-26
[ "hep-th" ]
M.I. Dobroliubov, Yu. Makeenko and G.W. Semenoff
hep-th/9306035
Construction of KP Hierarchies in Terms of Finite Number of Fields and their Abelianization
The $2M$-boson representations of KP hierarchy are constructed in terms of $M$ mutually independent two-boson KP representations for arbitrary number $M$. Our construction establishes the multi-boson representations of KP hierarchy as consistent Poisson reductions of standard KP hierarchy within the $R$-matrix scheme. ...
1993-06-06
2009-10-22
[ "hep-th" ]
H.Aratyn, E.Nissimov and S.Pacheva
hep-th/9306034
Null vectors of the superconformal algebra: the Ramond sector
We consider the Ramond sector of the $N=1$ superconformal algebra and find expressions for the singular vectors in reducible highest weight Verma module representations by the fusion principle of Bauer et al.
1993-06-06
2009-10-22
[ "hep-th" ]
G.M.T. Watts
hep-th/9306033
Extensions of the Virasoro Algebra and Gauged WZW Models
To any non-trivial embedding of sl(2) in a (super) Lie algebra, one can associate an extension of the Virasoro algebra. We realize the extended Virasoro algebra in terms of a WZW model in which a chiral, solvable group is gauged, the gauge group being determined by the sl(2) embedding. The resulting BRST cohomology is ...
1993-06-05
2009-10-22
[ "hep-th" ]
A. Sevrin and W. Troost
hep-th/9306023
Nambu-Jona-Lasinio Model in Curved Space-Time
The phase structure of Nambu-Jona-Lasinio model with N-component fermions in curved space-time is studied in the leading order of the 1/N expansion. The effective potential for composite operator $\bar{\psi}\psi$ is calculated by using the normal coordinate expansion in the Schwinger proper-time method. The existen...
1993-06-04
2009-09-17
[ "hep-th" ]
T.Inagaki, T.Muta, S.D.Odinstov
hep-th/9306025
The Complete structure of the nonlinear $W_4$ and $W_5$ algebras from quantum Miura transformation
Starting from the well-known quantum Miura transformation for the Lie algebra $A_n$, we compute explicitly the OPEs for $n=3$ and 4. The primary fields with spin 3, 4 and 5 are found (for general $n$). By using these primary fields and the OPEs from quantum Miura transformation, we derive the complete structure of the ...
1993-06-04
2009-10-22
[ "hep-th" ]
Chuan-Jie Zhu
hep-th/9306026
The BRST quantization of the nonlinear $WB_2$ and $W_4$ algebras
We construct the BRST operator for the nonlinear $WB_2$ and $W_4$ algebras. Contrary to the general belief, the nilpotent condition of the BRST operator doesn't determine all the coefficients. We find a three and seven parameter family of nilpotent BRST operator for $WB_2$ and $W_4$ respectively. These free parameters ...
1993-06-04
2009-10-22
[ "hep-th" ]
Chuan-Jie Zhu
hep-th/9306032
Inconsistency of Canonically Quantized N=1 Supergravity?
D'Eath's proof (hep-th/9304084) that there can be at most two allowed quantum states of N=1 supergravity with zero or a finite number of fermions can be extended to show that there are no such states.
1993-06-04
2008-02-03
[ "hep-th", "gr-qc" ]
Don N. Page
hep-th/9306031
On the Topological Charges of Affine Toda Solitons
We provide a proof of a formula conjectured in \cite{OU93} for some coefficients relevant in the principal vertex operator construction of a simply-laced affine algebra $\gh$. These coefficients are important for the study of the topological charges of the solitons of affine Toda theories, and the construction of repre...
1993-06-04
2007-05-23
[ "hep-th" ]
Jonathan Underwood
hep-th/9306024
Discretized Superstring in Three Dimensional Superspace
The partition function of the discretized superstring in a target superspace of three (Euclidean) bosonic dimensions, is shown, for a fixed triangulation of the random world sheet, to be derived from the partition function of a discretized bosonic string with an external field present in the action in the form of a spe...
1993-06-04
2009-10-22
[ "hep-th" ]
Parthasarathi Majumdar
hep-th/9306029
N-String Vertices in String Field Theory
We give the general form of the vertex corresponding to the interaction of an arbitrary number of strings. The technique employed relies on the ``comma" representation of String Field Theory where string fields and interactions are represented as matrices and operations between them such as multiplication and trace. Th...
1993-06-04
2009-10-22
[ "hep-th" ]
J. Bordes, A. Abdurrahman and F. Anton
hep-th/9306030
The $SO_q(N,{\bf R})$-Symmetric Harmonic Oscillator on the Quantum Euclidean Space ${\bf R}_q^N$ and its Hilbert Space Structure
We show that the isotropic harmonic oscillator in the ordinary euclidean space ${\bf R}^N$ ($N\ge 3$) admits a natural q-deformation into a new quantum mechanical model having a q-deformed symmetry (in the sense of quantum groups), $SO_q(N,{\bf R})$. The q-deformation is the consequence of replacing $ R^N$ by ${\bf R}^...
1993-06-04
2010-11-01
[ "hep-th" ]
Gaetano Fiore
hep-th/9306027
Spontaneous Symmetry Breaking and the Renormalization of the Chern-Simons Term
We calculate the one-loop perturbative correction to the coefficient of the \cs term in non-abelian gauge theory in the presence of Higgs fields, with a variety of symmetry-breaking structures. In the case of a residual $U(1)$ symmetry, radiative corrections do not change the coefficient of the \cs term. In the case of...
1993-06-04
2009-10-22
[ "hep-th" ]
Avinash Khare, R. B. MacKenzie, P. K. Panigrahi, and M. B. Paranjape
hep-th/9306028
Universal Properties of Self-Avoiding Walks from Two-Dimensional Field Theory
We use the recently conjectured exact $S$-matrix of the massive ${\rm O}(n)$ model to derive its form factors and ground state energy. This information is then used in the limit $n\to0$ to obtain quantitative results for various universal properties of self-avoiding chains and loops. In particular, we give the first th...
1993-06-04
2014-11-18
[ "hep-th", "cond-mat" ]
John Cardy and G. Mussardo
hep-th/9306022
Cartan Calculus for Hopf Algebras and Quantum Groups
A generalization of the differential geometry of forms and vector fields to the case of quantum Lie algebras is given. In an abstract formulation that incorporates many existing examples of differential geometry on quantum groups, we combine an exterior derivative, inner derivations, Lie derivatives, forms and function...
1993-06-03
2008-02-03
[ "hep-th", "math.QA" ]
Peter Schupp, Paul Watts, and Bruno Zumino
hep-th/9306020
String Quantum Symmetries From Picard-Fuchs Equations And Their Monodromy
Local and global properties of the moduli space of Calabi--Yau type compactifications determine the low energy parameters of the string effective action. We show that the moduli space geometry is entirely encoded in the Picard--Fuchs equations for the periods of the Calabi--Yau $H^{(3)}$--cohomology.
1993-06-03
2016-09-06
[ "hep-th" ]
R. D'Auria and S. Ferrara
hep-th/9306018
Graph Rings and Integrable Perturbations of $N=2$ Superconformal Theories
We show that the connection between certain integrable perturbations of $N=2$ superconformal theories and graphs found by Lerche and Warner extends to a broader class. These perturbations are such that the generators of the perturbed chiral ring may be diagonalized in an orthonormal basis. This allows to define a dual ...
1993-06-03
2009-10-22
[ "hep-th" ]
P. Di Francesco, F. Lesage and J.-B. Zuber
hep-th/9306019
Explicit Construction of the BRST Charge for W_4
We give the explicite form of the BRST charge Q for the algebra W_4=WA_3 in the basis where the spin-3 and the spin-4 field are primary as well as for a basis where the algebra closes quadratically.
1993-06-03
2009-10-22
[ "hep-th" ]
K. Hornfeck
hep-th/9306016
Quantisation of U$_q$[OSP(1/2N)] with Deformed Para-Bose Operators
The observation that $n$ pairs of para-Bose (pB) operators generate the universal enveloping algebra of the orthosymplectic Lie superalgebra $osp(1/2n)$ is used in order to define deformed pB operators. It is shown that these operators are an alternative to the Chevalley generators. On this background $U_q[osp(1/2n)]$,...
1993-06-03
2007-05-23
[ "hep-th" ]
T. D. Palev
hep-th/9306017
Dirac versus reduced phase space quantization for systems admitting no gauge conditions
The constrained Hamiltonian systems admitting no gauge conditions are considered. The methods to deal with such systems are discussed and developed. As a concrete application, the relationship between the Dirac and reduced phase space quantizations is investigated for spin models belonging to the class of systems under...
1993-06-03
2009-10-22
[ "hep-th" ]
Mikhail S. Plyushchay and Alexander V. Razumov
hep-th/9306021
Operadic formulation of topological vertex algebras and Gerstenhaber or Batalin-Vilkovisky algebras
We give the operadic formulation of (weak, strong) topological vertex algebras, which are variants of topological vertex operator algebras studied recently by Lian and Zuckerman. As an application, we obtain a conceptual and geometric construction of the Batalin-Vilkovisky algebraic structure (or the Gerstenhaber algeb...
1993-06-03
2009-10-22
[ "hep-th", "math.QA" ]
Yi-Zhi Huang