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hep-th/9304067
Vertex Operators for the BF System and its Spin-Statistics Theorems
Let $B$ and $F=\frac 12F_{\mu \nu}dx^\mu \wedge dx^\nu $ be two forms, $F_{\mu \nu}$ being the field strength of an abelian connection $A$. The topological $BF$ system is given by the integral of $B\wedge F$. With "kinetic energy'' terms added for $B$ and $A$, it generates a mass for $A$ thereby suggesting an alternati...
1993-04-16
2009-10-22
[ "hep-th" ]
A.P. Balachandran and P. Teotonio-Sobrinho
hep-th/9304062
Flat World of Dilatonic Domain Walls
We study dilatonic domain walls specific to superstring theory. Along with the matter fields and metric the dilaton also changes its value in the wall background. We found supersymmetric (extreme) solutions which in general interpolate between isolated superstring vacua with non-equal value of the matter potential; t...
1993-04-16
2009-09-17
[ "hep-th", "gr-qc" ]
Mirjam Cvetic
hep-th/9304064
Relation between Classical and Pseudo-classical Spinning Particle
The spin degrees of freedom for the relativistic particle are described by either Poincar\'{e} group variables (classically) or Grassmann variables (pseudo-classically). The relationship between those two descriptions are given. In doing that, appropriate constraints are constructed to put into the lagrangian. Especial...
1993-04-16
2008-02-03
[ "hep-th" ]
Jin-Ho Cho, Seungjoon Hyun and Jae-Kwan Kim
hep-th/9304066
Yukawa Couplings involving Excited Twisted Sector States for ${\bf Z}_M\times {\bf Z}_N$ Orbifolds
A study is made for ${\bf Z}_M\times {\bf Z}_N$ orbifolds of the modification of the form of the twisted sector Yukawa couplings when some of the states involved are excited twisted sectors rather than twisted sector ground states.
1993-04-16
2010-11-01
[ "hep-th" ]
D. Bailin, A. Love and W.A. Sabra
hep-th/9304068
Relating black holes in two and three dimensions
The three dimensional black hole solutions of Ba\~nados, Teitelboim and Zanelli (BTZ) are dimensionally reduced in various different ways. Solutions are obtained to the Jackiw-Teitelboim theory of two dimensional gravity for spinless BTZ black holes, and to a simple extension with a non-zero dilaton potential for black...
1993-04-16
2014-11-18
[ "hep-th", "gr-qc" ]
Ana Ach\'ucarro and Miguel Ortiz
hep-th/9304063
Level-Spacing Distributions and the Bessel Kernel
The level spacing distributions which arise when one rescales the Laguerre or Jacobi ensembles of hermitian matrices is studied. These distributions are expressible in terms of a Fredholm determinant of an integral operator whose kernel is expressible in terms of Bessel functions of order $\alpha$. We derive a system o...
1993-04-16
2009-07-11
[ "hep-th", "math-ph", "math.MP", "nlin.SI", "solv-int" ]
Craig A. Tracy and Harold Widom
hep-th/9304060
N=2 Topological Yang-Mills Theory on Compact K\"{a}hler Surfaces
We study a topological Yang-Mills theory with $N=2$ fermionic symmetry. Our formalism is a field theoretical interpretation of the Donaldson polynomial invariants on compact K\"{a}hler surfaces. We also study an analogous theory on compact oriented Riemann surfaces and briefly discuss a possible application of the Witt...
1993-04-16
2009-10-22
[ "hep-th" ]
Jae-Suk Park
hep-th/9304058
Superfield Formalism of Stochastic Quantization Method with Field-Dependent Kernels
I consider a Langevin equation with field-dependent kernels and investigate supersymmetry of the stochastic generating functional constructed from the Langevin equation. Moreover I describe the stochastic generating functional in terms of a superfield. In the superfield formalism, it becomes clear that the stochastic q...
1993-04-15
2007-05-23
[ "hep-th" ]
K.Ikegami
hep-th/9304059
Dissipation of the String Embedding Dimension in the Singlet Sector of a Matrix Model at Large $\alpha^\prime$
The one dimensional Fermi gas of matrix eigenvalues of the Marinari-Parisi model at positive values of the cosmological constant is generalised.The number of matrix eigenvalues (i.e. gas particles) is varied while keeping the effective potential fixed. This model exhibits a transition from a phase whose continuum behav...
1993-04-15
2010-11-01
[ "hep-th" ]
Joshua Feinberg
hep-th/9304061
Closed string field theory, strong homotopy Lie algebras and the operad actions of moduli space
This is an expanded and updated version of a talk given at the Conference on Topics in Geometry and Physics at the University of Southern California, November 6, 1992. It is a survey talk, aimed at mathematicians AND physicists, which attempts to bring together the topics in the title without assuming much background i...
1993-04-15
2007-05-23
[ "hep-th" ]
Jim Stasheff
hep-th/9304056
The sums of Rogers, Schur and Ramanujan and the Bose-Fermi correspondence in $1+1$-dimensional quantum field theory
We discuss the relation of the two types of sums in the Rogers-Schur-Ramanujan identities with the Bose-Fermi correspondence of massless quantum field theory in $1+1$ dimensions. One type, which generalizes to sums which appear in the Weyl-Kac character formula for representations of affine Lie algebras and in expressi...
1993-04-14
2008-02-03
[ "hep-th" ]
Rinat Kedem, Barry M. McCoy, and Ezer Melzer
hep-th/9304057
Consistent couplings between fields with a gauge freedom and deformations of the master equation
The antibracket in BRST theory is known to define a map $\rm{H^p \times H^q \longrightarrow H^{p+q+1}}$ associating with two equivalence classes of BRST invariant observables of respective ghost number p and q an equivalence class of BRST invariant observables of ghost number p+q+1. It is shown that this map is trivial...
1993-04-14
2009-10-22
[ "hep-th" ]
G. Barnich and M. Henneaux
hep-th/9304051
Massless Flows II: the exact S-matrix approach
We study the spectrum, the massless S-matrices and the ground-state energy of the flows between successive minimal models of conformal field theory, and within the sine-Gordon model with imaginary coefficient of the cosine term (related to the minimal models by ``truncation''). For the minimal models, we find exact S-m...
1993-04-13
2015-06-26
[ "hep-th" ]
P. Fendley, H. Saleur and Al.B. Zamolodchikov
hep-th/9304048
Tachyon Condensates and String Theoretic Inflation
Cosmological solutions of the beta function equations for the background fields of the closed bosonic string are investigated at the one-loop level. Following recent work of Kostelecky and Perry, it is assumed that the spatial sections of the space-time are conformally flat. Working in the sigma-model frame, the non-tr...
1993-04-13
2010-11-01
[ "hep-th" ]
Eric Raiten
hep-th/9304053
Connections on the State-Space over Conformal Field Theories
Motivated by the problem of background independence of closed string field theory we study geometry on the infinite vector bundle of local fields over the space of conformal field theories (CFT's). With any connection we can associate an excluded domain $D$ for the integral of marginal operators, and an operator one-fo...
1993-04-13
2009-10-22
[ "hep-th" ]
K. Ranganathan, H. Sonoda, and B. Zwiebach
hep-th/9304052
Continued Fraction as a Discrete Nonlinear Transform
The connection between a Taylor series and a continued-fraction involves a nonlinear relation between the Taylor coefficients $\{ a_n \}$ and the continued-fraction coefficients $\{ b_n \}$. In many instances it turns out that this nonlinear relation transforms a complicated sequence $\{a_n \}$ into a very simple one $...
1993-04-13
2009-10-22
[ "hep-th" ]
Carl M. Bender and Kimball A. Milton
hep-th/9304055
Dilaton, Antisymmetric Tensor and Gauge Fields in String Effective Theories at the One--loop Level
We investigate the dependence of the gauge couplings on the dilaton field in string effective theories at the one--loop level. First we resolve the discrepancies between statements based on symmetry considerations and explicit calculations in string effective theories on this subject. A calculation of the relevant one-...
1993-04-13
2009-10-22
[ "hep-th" ]
P. Mayr and S. Stieberger
hep-th/9304054
Global Aspects of p-Branes
We generalize to dimension $p>1$ the notion of string structure and discuss the related obstruction. We apply our results to a model of bosonic $p$-branes propagating on a principal $G$-bundle, coupled to a Yang--Mills field and an antisymmetric tensor field and in the presence of a Wess-Zumino term in the Lagrangian. ...
1993-04-13
2015-06-26
[ "hep-th" ]
J. Mickelsson and R. Percacci
hep-th/9304050
Massless Flows I: the sine-Gordon and O(n) models
The massless flow between successive minimal models of conformal field theory is related to a flow within the sine-Gordon model when the coefficient of the cosine potential is imaginary. This flow is studied, partly numerically, from three different points of view. First we work out the expansion close to the Kosterlit...
1993-04-13
2015-06-26
[ "hep-th" ]
P. Fendley, H. Saleur and Al. B. Zamolodchikov
hep-th/9304046
A Twistor Formulation of the Non-Heterotic Superstring with Manifest Worldsheet Supersymmetry
We propose a new formulation of the $D=3$ type II superstring which is manifestly invariant under both target-space $N=2$ supersymmetry and worldsheet $N=(1,1)$ super reparametrizations. This gives rise to a set of twistor (commuting spinor) variables, which provide a solution to the two Virasoro constraints. The world...
1993-04-12
2009-10-22
[ "hep-th" ]
A. Galperin and E. Sokatchev
hep-th/9304049
The hamiltonian reduction of the BRST complex and N=2 SUSY
We study the nonunitary representations of N=2 Super Virasoro algebra for the rational central charges c<3. The resolutions for the irreducible representations of N=2 SVir in terms of the "2-d gravity modules" are obtained and their characters are computed. The correspondence between the N=2 nonunitary "minimal" models...
1993-04-12
2008-02-03
[ "hep-th" ]
V. Sadov
hep-th/9304047
Hamiltonian systems of Calogero type and two dimensional Yang-Mills theory
We obtain integral representations for the wave functions of Calogero-type systems,corresponding to the finite-dimentional Lie algebras,using exact evaluation of path integral.We generalize these systems to the case of the Kac-Moody algebras and observe the connection of them with the two dimensional Yang-Mills theory....
1993-04-12
2009-10-22
[ "hep-th" ]
A.Gorsky and N.Nekrasov
hep-th/9304045
Generalized Calabi-Yau Manifolds and the Mirror of a Rigid Manifold
We describe the mirror of the Z orbifold as a representation of a class of generalized Calabi-Yau manifolds that can be realized as manifolds of dimension five and seven. Despite their dimension these correspond to superconformal theories with $c=9$ and so are perfectly good for compactifying the heterotic string to th...
1993-04-11
2009-10-22
[ "hep-th", "alg-geom", "math.AG" ]
P. Candelas, E. Derrick and L. Parkes
hep-th/9304044
Chronology Protection in Two-Dimensional Dilaton Gravity
The global structure of 1 + 1 dimensional compact Universe is studied in two-dimensional model of dilaton gravity. First we give a classical solution corresponding to the spacetime in which a closed time-like curve appears, and show the instability of this spacetime due to the existence of matters. We also observe ...
1993-04-11
2009-12-30
[ "hep-th" ]
Takashi Mishima and Akika Nakamichi
hep-th/9304043
Towards complete integrability of two dimensional Poincar\'e gauge gravity
It is shown that gravity on the line can be described by the two dimensional (2D) Hilbert-Einstein Lagrangian supplemented by a kinetic term for the coframe and a translational {\it boundary} term. The resulting model is equivalent to a Yang-Mills theory of local {\it translations} and frozen Lorentz gauge degrees. We ...
1993-04-10
2009-10-22
[ "hep-th", "gr-qc" ]
E.W. Mielke, F. Gronwald, Y.N. Obukhov, R. Tresguerres, and F.W. Hehl
hep-th/9304042
Poisson Lie Groups, Quantum Duality Principle, and the Quantum Double
The Heisenberg double of a Hopf algebra may be regarded as a quantum analogue of the cotangent bundle of a Lie group. Quantum duality principle describes relations between a Hopf algebra, its dual, and their Heisenberg double in a way which extends both the theory of coadjoint orbits and the classical Fourier transform...
1993-04-10
2008-02-03
[ "hep-th", "math.QA" ]
M. A. Semenov-Tian-Shansky
hep-th/9304038
Free Superfield Realization of N=2 Quantum Super W_{3} Algebra
We rewrite $ N=2$ quantum super $W_{3}$ algebra, a nonlinear extended $N=2$ super Virasoro algebra, containing one additional primary superfield of dimension $2$ which has no $U(1)$ charge, besides the super stress energy tensor of dimension $1$ in $N=2$ superspace. The free superfield realization of this algebra is ob...
1993-04-09
2015-06-26
[ "hep-th" ]
Changhyun Ahn
hep-th/9304039
c=1 String as a Topological Model
The discrete states in the $c=1$ string are shown to be the physical states of a certain topological sigma model. We define a set of new fields directly from $c=1$ variables, in terms of which the BRST charge and energy-momentum tensor are rewritten as those of the topological sigma model. Remarkably, ground ring gener...
1993-04-09
2009-10-22
[ "hep-th" ]
H.Ishikawa and M.Kato
hep-th/9304040
Classical $N=1$ and $N=2$ super W-algebras from a zero-curvature condition
Starting from superdifferential operators in an $N=1$ superfield formulation, we present a systematic prescription for the derivation of classical $N=1$ and $N=2$ super W-algebras by imposing a zero-curvature condition on the connection of the corresponding first order system. We illustrate the procedure on the first n...
1993-04-09
2015-06-26
[ "hep-th" ]
Francois Gieres and Stefan Theisen
hep-th/9304041
Affine Strings
A new model of bosonic strings is considered. An action of the model is the sum of the standard string action and a term describing an interaction of a metric with a linear (affine) connection. The Lagrangian of this interaction is an arbitrary analytic function $f(R)$ of the scalar curvature. This is a classically int...
1993-04-09
2019-06-05
[ "hep-th" ]
I.V.Volovich
hep-th/9304032
Current Algebra and Conformal Field Theory on a Figure Eight
We examine the dynamics of a free massless scalar field on a figure eight network. Upon requiring the scalar field to have a well defined value at the junction of the network, it is seen that the conserved currents of the theory satisfy Kirchhoff's law, that is that the current flowing into the junction equals the curr...
1993-04-08
2015-06-26
[ "hep-th" ]
A.P.Balachandran, G.Bimonte, K.S.Gupta, G.Marmo, P.Salomonson, A.Simoni, A.Stern
hep-th/9304035
BRS Cohomology of the Supertranslations in D=4
Supersymmetry transformations are a kind of square root of spacetime translations. The corresponding Lie superalgebra always contains the supertranslation operator $ \delta = c^{\alpha} \sigma^{\mu}_{\alpha \dot \beta} {\overline c}^{\dot \beta} (\epsilon^{\mu})^{\dag} $. We find that the cohomology of this operator de...
1993-04-08
2008-11-26
[ "hep-th" ]
J. A. Dixon and R. Minasian
hep-th/9304031
On Functional Determinants of Laplacians in Polygons and Simplices
The functional determinant of an elliptic operator with positive, discrete spectrum may be defined as $e^{-Z'(0)}$, where $Z(s)$, the zeta function, is the sum $\sum_n^{\infty} \lambda_n^{-s}$ analytically continued to $s$ around the origin. In this paper $Z'(0)$ is calculated for the Laplace operator with Dirichlet bo...
1993-04-08
2009-10-22
[ "hep-th", "math.DG" ]
Erik Aurell and Per Salomonson
hep-th/9304034
Mirror Maps and Instanton Sums for Complete Intersections in Weighted Projective Space
We consider a class of Calabi-Yau compactifications which are constructed as a complete intersection in weighted projective space. For manifolds with one K\"ahler modulus we construct the mirror manifolds and calculate the instanton sum.
1993-04-08
2010-11-01
[ "hep-th", "math.AG" ]
A. Klemm and S. Theisen
hep-th/9304033
The Electromagnetic Interactions of Electrons in the Lowest Landau Level
Starting from a system of planar electrons in a strong magnetic field normal to the plane, interacting with perturbing electromagnetic fields, an effective Lagrangian for the fermions in the lowest Landau level (L.L.L.) has been derived. By choosing a suitable background electrostatic potential, an incompressible dropl...
1993-04-08
2009-10-22
[ "hep-th", "cond-mat" ]
Rashmi Ray & B. Sakita
hep-th/9304037
The Light Cone in String Theory
The causal boundary of string propagation -- defined as the hypersurface in loop space bordering the timelike(spacelike) domains in which two successive measurements of the string field do(do not) interfere with one another -- is argued to be $0=\int d\sigma\bigl(\delta X(\sigma)\bigr)^2 = \sum_{\ell=-\infty}^\infty ...
1993-04-08
2010-04-06
[ "hep-th" ]
Emil Martinec
hep-th/9304029
Instanton and Spectral Flow in Topological Conformal Field Theories
A class of two-dimensional topological conformal field theories (TCFTs) is studied within the framework of gauged WZW models in order to gain some insights on the global geometrical nature of TCFTs. The BRST quantizations of topological G/H gauged WZW models (the twisted versions of SUSY gauged WZW models) are given un...
1993-04-08
2009-10-22
[ "hep-th" ]
Toshio Nakatsu and Yuji Sugawara
hep-th/9304036
Quantum Phase and Quantum Phase Operators: Some Physics and Some History
After reviewing the role of phase in quantum mechanics, I discuss, with the aid of a number of unpublished documents, the development of quantum phase operators in the 1960's. Interwoven in the discussion are the critical physics questions of the field: Are there (unique) quantum phase operators and are there quantum s...
1993-04-08
2011-07-19
[ "hep-th" ]
Michael Martin Nieto
hep-th/9304030
A Global Analogue of the Aharonov-Bohm Effect
This paper has been heavily revised, the final results now being contained in hep-ph/9311202 and hep-ph/9311203.
1993-04-08
2008-02-03
[ "hep-th" ]
A.C.Davis and A.P.Martin
hep-th/9304025
Schwinger--Dyson BRST symmetry and the Batalin--Vilkovisky Lagrangian Quantisation of Gauge Theories with Open or Reducible Gauge Algebras
In this short note we extend the results of Alfaro and Damgaard on the origin of antifields to theories with a gauge algebra that is open or reducible.
1993-04-07
2009-10-22
[ "hep-th" ]
Frank De Jonghe
hep-th/9304022
The Geodesic Motion on Generalized Taub-Nut Gravitational Instantons
A class of generalized Taub-NUT gravitational instantons is reported in five - dimensional Einstein gravity coupled to a non-linear sigma model. The geodesic dynamics of a spinless particle of unit mass on these static gravitational instantons is studied. This is accomplished by finding a generalized Runge-Lenz vector....
1993-04-07
2009-10-22
[ "hep-th", "gr-qc" ]
Mihai Visinescu (Department of Theoretical Physics, Institute of Atomic Physics, P.O.Box MG-6, Magurele,Bucharest,Romania)
hep-th/9304024
Nilpotent Gauging of SL(2,R)$WZNW$ models, and Liouville Field
We consider the gauging of $ SL(2,R) $ WZNW model by its nilpotent subgroup E(1). The resulting space-time of the corresponding sigma model is seen to collapse to a one dimensional field theory of Liouville. Gauging the diagonal subgroup $ E(1) \times U(1) $ of $SL(2,R) \times U(1)$ theory yields an extremal three dime...
1993-04-07
2009-10-22
[ "hep-th" ]
M.Alimohammadi, F.Ardalan, H.Arfaei
hep-th/9304027
Constraints on Black Hole Remnants
One possible fate of information lost to black holes is its preservation in black hole remnants. It is argued that a type of effective field theory describes such remnants (generically referred to as informons). The general structure of such a theory is investigated and the infinite pair production problem is revisited...
1993-04-07
2014-11-18
[ "hep-th", "gr-qc" ]
S.B. Giddings
hep-th/9304026
On the Landau-Ginzburg Description of $N=2$ Minimal Models
The conjecture that $N=2$ minimal models in two dimensions are critical points of a super-renormalizable Landau-Ginzburg model can be tested by computing the path integral of the Landau-Ginzburg model with certain twisted boundary conditions. This leads to simple expressions for certain characters of the $N=2$ models w...
1993-04-07
2010-04-07
[ "hep-th" ]
Edward Witten
hep-th/9304028
Energy--Level Statistics of Model Quantum Systems: Universality and Scaling in a Lattice--Point Problem
We investigate the statistics of the number $N(R,S)$ of lattice points, $n\in \Z^2$, in a ``random'' annular domain $\Pi(R,w)=\,(R+w)A\,\setminus RA$, where $R,w >0$. Here $A$ is a fixed convex set with smooth boundary and $w$ is chosen so that the area of $\Pi (R,w)$ is $S$. The randomness comes from $R$ being taken a...
1993-04-07
2009-10-22
[ "hep-th" ]
Pavel M. Bleher
hep-th/9304021
Matter-ghost mixing and the exact 2d black hole metric
We study a revised version of Witten's 2d black hole, in which the matter and (b,c) ghosts are mixed. The level of the coset model is still 9/4. We show that this model is equivalent to that of Mukhi and Vafa, in which the level of the coset model is taken as 3, and the stress tensor is improved. We argue that the exac...
1993-04-07
2009-10-22
[ "hep-th" ]
Miao Li
hep-th/9304023
SO(10) Unification in Non-Commutative Geometry
We construct an $SO(10)$ grand unified theory in the formulation of non-com-\break mutative geometry. The geometry of space-time is that of a product of a continuos four dimensional manifold times a discrete set of points. The properties of the fermionic sector fix almost uniquely the Higgs structure. The simplest mode...
1993-04-07
2009-10-22
[ "hep-th", "hep-ph" ]
A. H. Chamseddine and J. Fr/''ohlich
hep-th/9304017
Charged Particle with Magnetic Moment in the Aharonov-Bohm Potential
We considered a charged quantum mechanical particle with spin ${1\over 2}$ and gyromagnetic ratio $g\ne 2$ in the field af a magnetic string. Whereas the interaction of the charge with the string is the well kown Aharonov-Bohm effect and the contribution of magnetic moment associated with the spin in the case $g=2$ is ...
1993-04-06
2009-10-22
[ "hep-th" ]
M. Bordag and S. Voropaev
hep-th/9304019
$C_2$ Toda theory in the reduced WZNW framework
We consider the $C_2$ Toda theory in the reduced WZNW framework. Analysing the classical representation space of the symmetry algebra (which is the corresponding $C_2$ $W$ algebra) we determine its classical highest weight representations. We quantise the model promoting only the relevant quantities to operators. Using...
1993-04-06
2009-10-22
[ "hep-th" ]
Z. Bajnok
hep-th/9304018
Finite-Temperature and -Density QED: Schwinger-Dyson Equation in the Real-Time Formalism
Based on the real-time formalism, especially, on Thermo Field Dynamics, we derive the Schwinger-Dyson gap equation for the fermion propagator in QED and Four-Fermion model at finite-temperature and -density. We discuss some advantage of the real-time formalism in solving the self-consistent gap equation, in comparison ...
1993-04-06
2015-06-26
[ "hep-th" ]
K.-I. Kondo and K. Yoshida
hep-th/9304020
The Relation between Linear and Non-Linear $N=3,4$ Supergravity Theories
The effective actions for $d=2$, $N=3,4$ chiral supergravities with a linear and a non-linear gauge algebra are related to each other by a quantum reduction, the latter is obtained from the former by putting quantum currents equal to zero. This implies that the renormalisation factors for the quantum actions are identi...
1993-04-06
2009-10-22
[ "hep-th" ]
Alexander Sevrin, Kris Thielemans and Walter Troost
hep-th/9304015
Two dimensional QCD is a one dimensional Kazakov-Migdal model
We calculate the partition functions of QCD in two dimensions on a cylinder and on a torus in the gauge $\partial_{0} A_{0} = 0$ by integrating explicitly over the non zero modes of the Fourier expansion in the periodic time variable. The result is a one dimensional Kazakov-Migdal matrix model with eigenvalues on a cir...
1993-04-05
2009-10-22
[ "hep-th" ]
M. Caselle, A. D'Adda, L. Magnea and S. Panzeri
hep-th/9304012
General Form of Dilaton Gravity and Nonlinear Gauge Theory
We construct a gauge theory based on general nonlinear Lie algebras. The generic form of `dilaton' gravity is derived from nonlinear Poincar{\' e} algebra, which exhibits a gauge-theoretical origin of the non-geometric scalar field in two-dimensional gravitation theory.
1993-04-05
2017-02-01
[ "hep-th" ]
Noriaki Ikeda and Izawa K.-I
hep-th/9304013
Naked Singularities in Four-Dimensional String Backgrounds
It is shown that gauged nonlinear sigma models can be always deformed by terms proportional to the field strength of the gauge fields (nonminimal gauging). These deformations can be interpreted as perturbations, by marginal operators, of conformal coset models. When applied to the SL(2,R)*SU(2)/[U(1)*U(1)] WZWN model, ...
1993-04-05
2009-10-22
[ "hep-th", "gr-qc" ]
Noureddine Mohammedi
hep-th/9304010
Macroscopic Loop Amplitudes in Two-Dimensional Dilaton Gravity
Macroscopic loop amplitudes are obtained for the dilation gravity in two-dimensions. The dependence on the macroscopic loop length $l$ is completely determined by using the Wheeler-DeWitt equation in the mini-superspace approximation. The dependence on the cosmological constant $\Lambda$ is also determined by using the...
1993-04-05
2017-02-01
[ "hep-th" ]
Yoichro Matsumura, Norisuke Sakai and Hiroshi Shirokura
hep-th/9304009
Intertwiners and \ade Lattice Models
Intertwiners between \ade lattice models are presented and the general theory developed. The intertwiners are discussed at three levels: at the level of the adjacency matrices, at the level of the cell calculus intertwining the face algebras and at the level of the row transfer matrices. A convenient graphical represen...
1993-04-05
2009-10-22
[ "hep-th" ]
Paul A. Pearce and Yu-kui Zhou
hep-th/9304014
1-Loop Analysis of the Photon Self-Energy due to 3D-Gravity
A Maxwell-Chern-Simons field is minimally coupled to 3D-gravity. Feynman rules are written down and 1-loop corrections to the gauge-field self-energy are calculated. Transversality is verified and gauge-field dynamical mass generation does not take place.
1993-04-05
2010-12-17
[ "hep-th" ]
C. Pinheiro, G. O. Pires and F. A. B. Rabelo de Carvalho
hep-th/9304011
Lectures on 2D gravity and 2D string theory (TASI 1992)
Emphasis is on 2d target space (c=1 coupled to gravity). Contents: 0. Introduction, Overview, and Purpose 1. Loops and States in Conformal Field Theory 2. 2D Euclidean Quantum Gravity I: Path Integral Approach 3. Brief Review of the Liouville Theory 4. 2D Euclidean Quantum Gravity II: Canonical Approach 5...
1993-04-05
2007-05-23
[ "hep-th" ]
P. Ginsparg and Gregory Moore
hep-th/9304008
Normalization of Scattering States, Scattering Phase Shifts and Levinson's Theorem
We show that the normalization integral for the Schr\"odinger and Dirac scattering wave functions contains, besides the usual delta-function, a term proportional to the derivative of the phase shift. This term is of zero measure with respect to the integration over momentum variables and can be discarded in most cases....
1993-04-04
2008-02-03
[ "hep-th", "nucl-th" ]
Nathan Poliatzky
hep-th/9304007
Algebraic Characterization of the Lorentz and Diffeomorphism Anomalies
The Wess-Zumino consistency conditions for Lorentz and diffeomorphism anomalies are discussed by introducing an operator 'delta' which allows to decompose the exterior derivative as a BRS commutator.
1993-04-03
2015-06-26
[ "hep-th" ]
S.P. Sorella and M. Werneck de Oliveira
hep-th/9304005
Higgs Mass and Noncommutative Geometry
We show that the description of the electroweak interactions based on noncommutative geometry of a continuous and a discrete space gives no special relations between the Higgs mass and other parameters of the model. We prove that there exists a gauge invariant term, linear in the curvature, which is trivial in the stan...
1993-04-02
2009-10-22
[ "hep-th", "hep-ph" ]
Andrzej Sitarz
hep-th/9304004
The Space-Time Manifold as a Critical Solid
It is argued that the problems of the cosmological constant, stability and renormalizability of quantum gravity can be solved if the space-time manifold arises through spontaneous symmetry breaking. A ``pre-manifold" model is presented in which many points are connected by random bonds. A set of $D$ real numbers assign...
1993-04-02
2007-05-23
[ "hep-th" ]
Peter Orland
hep-th/9304006
Contact Terms and Duality Symmetry in The Critical Dissipative Hofstadter Model
The dissipative Hofstadter model describes the quantum mechanics of a charged particle in two dimensions subject to a periodic potential, uniform magnetic field, and dissipative force. Its phase diagram exhibits an SL(2,Z) duality symmetry and has an infinite number of critical circles in the dissipation/magnetic field...
1993-04-02
2009-10-22
[ "hep-th" ]
Denise E. Freed
hep-th/9304016
The Partition Function for Topological Field Theories
We use a Hodge decomposition and its generalization to non-abelian flat vector bundles to calculate the partition function for abelian and non- abelian BF theories in $n$ dimensions. This enables us to provide a simple proof that the partition function is related to the Ray-Singer torsion defined on flat vector bundles...
1993-04-02
2009-10-22
[ "hep-th" ]
J. Gegenberg and G. Kunstatter
hep-th/9304003
Discrete Strings and Deterministic Cellular Strings
A discrete string theory --a theory of embeddings from ${\bf Z}\times {\bf Z}_C\to {\bf R}^D$, where $C$ is the number of components of the string-- is explored. The closure of the algebra of constraints (`${\bf Z}_C$-Virasoro algebra') is exhibited. The ${\bf Z}_C$-Virasoro `algebra' is shown to be anomaly free in arb...
1993-04-01
2009-10-22
[ "hep-th", "hep-lat" ]
J.G. Russo
hep-th/9304001
Condensation of handles in the interface of 3D Ising model
We analyze the microscopic, topological structure of the interface between domains of opposite magnetization in 3D Ising model near the critical point. This interface exhibits a fractal behaviour with a high density of handles. The mean area is an almost linear function of the genus. The entropy exponent is affected by...
1993-04-01
2009-09-25
[ "hep-th", "hep-lat" ]
M. Caselle, F. Gliozzi and S. Vinti
hep-th/9304002
The Two-Dimensional Stringy Black-Hole: A New Approach and a Pathology
The string propagation in the two-dimensional stringy black-hole is investigated from a new approach. We completely solve the classical and quantum string dynamics in the lorentzian and euclidean regimes. In the lorentzian case all the physics reduces to a massless scalar particle described by a Klein-Gordon type equat...
1993-04-01
2009-10-22
[ "hep-th", "gr-qc" ]
H.J. de Vega, J. Ram\'irez Mittelbrun, M. Ram\'on Medrano and N. S\'anchez
hep-th/9303178
Two-Dimensional QCD at Infinite N and Finite T
We analyze two-dimensional large $N_c$ QCD at finite temperature and show explicitly that the free energy has the correct $N_c$ dependence.
1993-03-31
2009-10-22
[ "hep-th" ]
T.H. Hansson (Stockholm) and I. Zahed (Stony Brook)
hep-th/9303176
Quantum Fluctuations and Curvature Singularities in Jackiw-Teitelboim Gravity
The Jackiw-Teitelboim gravity with the matter degrees of freedom is considered. The classical model is exactly solvable and its solutions describe non-trivial gravitational scattering of matter wave-packets. For huge amount of the solutions the scattering space-times are free of curvature singularities. However, the qu...
1993-03-31
2008-11-26
[ "hep-th" ]
C. Klimcik
hep-th/9303172
$N\!=\!8$ Superconformal Algebra and the Superstring
The superstring in $D\!=\!3,4$ and 6 is invariant under an $N\!=\!D\!-\!2$ superconformal algebra based on $\widehat{S^{D-3}}$. There is a direct relationship between this (world-sheet) symmetry and the super-Poincar\'e (target space) symmetry. We establish this relationship using the light-cone gauge, show how the sta...
1993-03-31
2009-10-22
[ "hep-th" ]
Lars Brink, Martin Cederwall and Christian R. Preitschopf
hep-th/9303175
Cosmological String Backgrounds
Talk given at the ``4th Hellenic School on Elementary Particle Physics", Corfu, 2-20 September 1992: The propagation of strings in cosmological space-time backgrounds is reviewed. We show the relation of a special class of cosmological backgrounds to exact conformal field theory. Particular emphasis is put on the singu...
1993-03-31
2007-05-23
[ "hep-th", "gr-qc" ]
Dieter Luest
hep-th/9303173
The Zero Tension Limit of Strings and Superstrings
The string equivalent of a massless particle ($m=0$) is the tensionless string ($T=0$). The study of such strings is of interest when trying to understand the high energy limit of ordinary strings. I discuss the classical $T\to 0$ limit of the bosonic string, the spinning string and the superstring. A common feature is...
1993-03-31
2016-08-14
[ "hep-th" ]
Ulf Lindstr\"om
hep-th/9303174
From the Superparticle Path Integral to Superfield Theory
We investigate the hitherto unexplored relation between the superparticle path integral and superfield theory. Requiring that the path integral has the global symmetries of the classical action and obeys the natural composition property of path integrals, and also that the discretized action has the correct naive conti...
1993-03-31
2016-08-14
[ "hep-th" ]
Johan Grundberg and Ulf Lindstr\"om
hep-th/9303177
Topology in Physics - A Perspective
This article, written in honor of Fritz Rohrlich, briefly surveys the role of topology in physics.
1993-03-31
2009-10-22
[ "hep-th", "hep-ph" ]
A.P. Balachandran
hep-th/9303179
String Tension in QED from Coulomb Gauge Correlators
We discuss the new Coulomb gauge method for testing confinement and measuring the string tension in the context of the Schwinger model and compact QED in 3 dimensions.
1993-03-31
2007-05-23
[ "hep-th" ]
T.H. Hansson (Stockholm) and I. Zahed (Stony Brook)
hep-th/9303169
The Wave Function of a Collapsing Star and Quantization Conditions
A very simple minisuperspace describing the Oppenheimer-Snyder collapsing star is found. The semiclasical wave function of that model turn out to describe a bound state. For fixed initial radius of the collapsing star, the corrssponding Bohr-Sommerfeld quantization condition implies mass quantization. An extension of t...
1993-03-30
2007-05-23
[ "hep-th" ]
Yoav Peleg
hep-th/9303165
Classical $W_3^{(2)}$ algebra and its Miura map
We verify that the fractional KdV equation is a bi-hamiltonian system using the zero curvature equation in $SL(3)$ matrix valued Lax pair representation, and explicitly find the closed form for the hamiltonian operators of the system. The second hamiltonian operator is the classical version of the $W^{(2)}_3$ algebra. ...
1993-03-30
2010-02-05
[ "hep-th" ]
B.K. Chung, K.G. Joo, and Soonkeon Nam
hep-th/9303164
On the BRST structure of W_3 gravity coupled to c=2 matter
We present some explicit results on the structure of singular vectors in $c=2$ Verma modules of the $\cW_3$ algebra. Using the embedding patterns of those vectors we construct resolutions for the $c=2$ irreducible modules, and thus are able to compute some of the BRST cohomology of $\cW_3$ gravity coupled to $c=2$ matt...
1993-03-30
2007-05-23
[ "hep-th" ]
P. Bouwknegt, J. McCarthy and K. Pilch
hep-th/9303168
New Supersymmetrizations of the Generalized KdV Hierarchies
Recently we investigated a new supersymmetrization procedure for the KdV hierarchy inspired in some recent work on supersymmetric matrix models. We extend this procedure here for the generalized KdV hierarchies. The resulting supersymmetric hierarchies are generically nonlocal, except for the case of Boussinesque which...
1993-03-30
2015-06-26
[ "hep-th" ]
J.M. Figueroa-O'Farrill and S. Stanciu
hep-th/9303170
4D and 2D Evaporating Dilatonic Black Holes
The picture of S-wave scatering from a 4D extremal dilatonic black hole is examined. Classically, a small matter shock wave will form a non-extremal black hole. In the "throat region" the r-t geometry is exactly that of a collapsing 2D black hole. The 4D Hawking radiation (in this classical background) gives the 2D Haw...
1993-03-30
2009-10-22
[ "hep-th" ]
Yoav Peleg
hep-th/9303161
Multi-Colour Braid-Monoid Algebras
We define multi-colour generalizations of braid-monoid algebras and present explicit matrix representations which are related to two-dimensional exactly solvable lattice models of statistical mechanics. In particular, we show that the two-colour braid-monoid algebra describes the Yang-Baxter algebra of the critical dil...
1993-03-30
2009-10-22
[ "hep-th", "math.QA" ]
Uwe Grimm and Paul A. Pearce
hep-th/9303159
Conformal Field Theory Techniques for Large N Group Theory
We show how to use quantum mechanics on the group manifold U(N) as a tool for problems in U(N) representation theory. The quantum mechanics reduces to free fermions on the circle, which in the large N limit become relativistic. The theory can be bosonized giving the Das-Jevicki-Sakita collective field theory. The forma...
1993-03-30
2007-05-23
[ "hep-th" ]
Michael R. Douglas
hep-th/9303166
Lattice analogues of W-algebras and Classical Integrable Equations
We propose a regular way to construct lattice versions of $W$-algebras, both for quantum and classical cases. In the classical case we write the algebra explicitly and derive the lattice analogue of Boussinesq equation from the Hamiltonian equations of motion. Connection between the lattice Faddeev-Takhtadjan-Volkov al...
1993-03-30
2009-10-22
[ "hep-th" ]
Alexander A.Belov and Karen D.Chaltikian
hep-th/9303171
Effective description of axion defects
Axion strings and domain walls exhibit a number of novel effects in the presence of gauge fields, in particular the electromagnetic field. It is shown how these effects are reproduced in a model of Nambu-Goto-type strings and open or closed membranes coupled to gauge fields. The generalization to `axionic p-branes' is ...
1993-03-30
2009-10-22
[ "hep-th" ]
P.K. Townsend
hep-th/9303167
Antisymmetric tensor gauge theory
We analyze to all perturbative orders the properties of two possible quantum extensions of classically on-shell equivalent antisymmetric tensor gauge models in four dimensions. The first case, related to the soft breaking of a topological theory wants a gauge field of canonical dimension one. The other possibility, whi...
1993-03-30
2010-04-06
[ "hep-th" ]
G.Bandelloni A.Blasi
hep-th/9303155
The Ground State Structure and Modular Transformations of Fractional Quantum Hall States on a Torus
The structure of ground states of generic FQH states on a torus is studied by using both effective theory and electron wave function. The relation between the effective theory and the wave function becomes transparent when one considers the ground state structure. We find that the non-abelian Berry's phases of the abel...
1993-03-29
2009-10-22
[ "hep-th" ]
Esko Keski-Vakkuri and Xiao-Gang Wen
hep-th/9303154
Gauge Equivalence in Two--Dimensional Gravity
Two-dimensional quantum gravity is identified as a second-class system which we convert into a first-class system via the Batalin-Fradkin (BF) procedure. Using the extended phase space method, we then formulate the theory in most general class of gauges. The conformal gauge action suggested by David, Distler and Kawai ...
1993-03-29
2016-09-06
[ "hep-th" ]
T. Fujiwara, Y. Igarashi, J. Kubo, and T. Tabei
hep-th/9303156
Twistor--like Formulation of the Supermembrane in D=11 $^*$
We propose a new formulation of the D=11 supermembrane theory that involves commuting spinors (twistor--like variables) and exhibits a manifest $n$--extended world volume supersymmetry $(1\leq n\leq 8)$. This supersymmetry replaces $n$ components of the usual $\kappa$--symmetry. We show that this formulation is classic...
1993-03-29
2009-10-22
[ "hep-th" ]
P. Pasti and M. Tonin
hep-th/9303163
Comment on Operator Algebra in Chern-Simons Theory on a Torus
It is shown that "nonintegrable phases of Wilson line integrals" are not true dynamical variables in Chern-Simons field theory.
1993-03-29
2009-10-22
[ "hep-th" ]
C.R. Hagen and E.C.G. Sudarshan
hep-th/9303162
Physical States in Topological Phase of N=2 Supersymmetric WZNW Models
N=2 supersymmetric WZNW models associated with finite-dimensional Manin triples is considered. Physical states in topological phase of these models are computed and them N=2 WZNW representatives are constracted. Ring structure of the physical states is computed.
1993-03-29
2015-06-26
[ "hep-th" ]
S. E. Parkhomenko
hep-th/9303158
Couplings for Compactifications
A general formula is obtained for Yukawa couplings in compactification on \LGO{s} and corresponding \CY\ spaces. Up to the kinetic term normalizations, this equates the classical Koszul ring structure with the \LGO\ chiral ring structure and the true super\CFT\ ring structure.
1993-03-29
2010-11-01
[ "hep-th" ]
P. Berglund and T. H\"ubsch
hep-th/9303157
Explicit Resolution of an Integrable c(4,3) Open String Theory
We study the two-matrix model which represents the sum over closed and open random surfaces coupled to an Ising Model. The boundary conditions are characterized by the fact that the Ising spins sitting at the vertices of the boundaries are all in the same state. We obtain the string equation and discuss the results. (N...
1993-03-29
2010-11-01
[ "hep-th" ]
Laurent Houart
hep-th/9303160
Logarithmic Operators in Conformal Field Theory
Conformal field theories with correlation functions which have logarithmic singularities are considered. It is shown that those singularities imply the existence of additional operators in the theory which together with ordinary primary operators form the basis of the Jordan cell for the operator $L_{0}$. An example of...
1993-03-29
2009-10-22
[ "hep-th" ]
V. Gurarie
hep-th/9303153
Equivalence of Two Dimensional QCD and the $c=1$ Matrix Model
We consider two dimensional QCD with the spatial dimension compactified to a circle. We show that the states in the theory consist of interacting strings that wind around the circle and derive the Hamiltonian for this theory in the large $N$ limit, complete with interactions. Mapping the winding states into momentum st...
1993-03-27
2009-10-22
[ "hep-th" ]
Joseph A. Minahan and Alexios P. Polychronakos
hep-th/9303152
Differential geometry of the space of orbits of a Coxeter group
Differential-geometric structures on the space of orbits of a finite Coxeter group, determined by Groth\'endieck residues, are calculated. This gives a construction of a 2D topological field theory for an arbitrary Coxeter group.
1993-03-27
2007-05-23
[ "hep-th" ]
Boris Dubrovin
hep-th/9303144
A Candidate for Exact Continuum Dual Theory for Scalar QED$_3$
We discuss a possible exact equivalence of the Abelian Higgs model and a scalar theory of a magnetic vortex field in 2+1 dimensions. The vortex model has a current - current interaction and can be viewed as a strong coupling limit of a massive vector theory. The fixed point structure of the theory is discussed and mapp...
1993-03-26
2015-06-26
[ "hep-th" ]
A. Kovner, P. Kurzepa and B. Rosenstein
hep-th/9303150
Charge screening in the Higgs phase of Chern-Simons electrodynamics
Though screened at large distances, a point-like electric charge can still participate in a long-range electromagnetic interaction in the Higgs phase, namely that with the Aharonov-Bohm field produced by a localized magnetic flux. We show that this follows from the fact that the screening charge, induced in the presenc...
1993-03-26
2009-10-22
[ "hep-th", "cond-mat" ]
F.Alexander Bais, A. Morozov and M. de Wild Propitius
hep-th/9303151
Towards finiteness without supersymmetry
Some aspects of finite quantum field theories in 3+1 dimensions are discussed. A model with non--supersymmetric particle content and vanishing one-- and two--loop beta functions for the gauge coupling and one--loop beta functions for Yukawa--couplings is presented.
1993-03-26
2015-06-26
[ "hep-th" ]
Harald Skarke
hep-th/9303145
Bosonization in 2+1 dimensions without Chern - Simons attached
We perform the complete bosonization of 2+1 dimensional QED with one fermionic flavor in the Hamiltonian formalism. The fermion 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, a...
1993-03-26
2009-10-22
[ "hep-th" ]
A. Kovner and P. Kurzepa
hep-th/9303148
Quantum and Braided Lie Algebras
We introduce the notion of a braided Lie algebra consisting of a finite-dimensional vector space $\CL$ equipped with a bracket $[\ ,\ ]:\CL\tens\CL\to \CL$ and a Yang-Baxter operator $\Psi:\CL\tens\CL\to \CL\tens\CL$ obeying some axioms. We show that such an object has an enveloping braided-bialgebra $U(\CL)$. We show ...
1993-03-26
2009-10-22
[ "hep-th", "math.QA" ]
Shahn Majid