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hep-th/9311036
Differential Operator Algebras on compact Riemann Surfaces
Invited talk at the International Symposium on Generalized Symmetries in Physics at the Arnold-Sommerfeld-Institute, Clausthal, Germany, July 26 -- July 29, 1993. This talk reviews results on the structure of algebras consisting of meromorphic differential operators which are holomorphic outside a finite set of points ...
1993-11-05
2009-09-25
[ "hep-th", "alg-geom", "math.QA" ]
Martin Schlichenmaier
hep-th/9311038
Bardeen-Anomaly and Wess-Zumino Term in the Supersymmetric Standard Model
We construct the Bardeen anomaly and its related Wess-Zumino term in the supersymmetric standard model. In particular we show that it can be written in terms of a composite linear superfield related to supersymmetrized Chern-Simons forms, in very much the same way as the Green-Schwarz term in four-dimensional string th...
1993-11-05
2009-10-22
[ "hep-th", "hep-ph" ]
S. Ferrara, A. Masiero, M. Porrati and R. Stora
hep-th/9311025
Real Time Propagator in the First Quantised Formalism
We argue that a basic modification must be made to the first quantised formalism of string theory if the physics of `particle creation' is to be correctly described. The analogous quantisation of the relativistic particle is performed, and it is shown that the proper time along the world line must go both forwards and ...
1993-11-04
2007-05-23
[ "hep-th" ]
Samir D. Mathur
hep-th/9311028
Matrix Versions of the Calogero Model
Matrix generalizations of the N-particle quantum-mechanical Calogero model classifying according to representations of the symmetric group $S_N$ are considered. Symmetry properties of the eigen-wave functions in the matrix Calogero models are analyzed. Latex.
1993-11-04
2007-05-23
[ "hep-th" ]
O.V.Dodlov, S.E.Konstein, and M.A.Vasiliev
hep-th/9311030
Green Functions and Thermal Nature of Black Holes
There are several ways to establish and study thermal properties of black holes. I review here method of Fulling and Ruijsenaars, based on the analytic structure of Green functions on the complex plane. This method provides a clear distinction between zero and finite temperature field theories, and allows for quick eva...
1993-11-04
2007-05-23
[ "hep-th" ]
Milan Mijic
hep-th/9311034
Symmetries of the Dissipative Hofstadter Model
The dissipative Hofstadter model, which describes a particle in 2-D subject to a periodic potential, uniform magnetic field, and dissipation, is also related to open string boundary states. This model exhibits an SL(2,Z) duality symmetry and hidden reparametrization invariance symmetries. These symmetries are useful fo...
1993-11-04
2007-05-23
[ "hep-th" ]
Denise E. Freed
hep-th/9311026
New QCD Results from String Theory
We discuss new results in QCD obtained with string-based methods. These methods were originally derived from superstring theory and are significantly more efficient than conventional Feynman rules. This technology was a key ingredient in the first calculation of the one-loop five-gluon amplitude. We also present a conj...
1993-11-04
2007-05-23
[ "hep-th", "hep-ph" ]
Z. Bern, L. Dixon, D.A. Kosower
hep-th/9311029
Quantum Principal Bundles
A noncommutative-geometric generalization of the theory of principal bundles is sketched. A differential calculus over corresponding quantum principal bundles is analysed. The formalism of connections is presented. In particular, operators of covariant derivative and horizontal projection are described and analysed. Qu...
1993-11-04
2007-05-23
[ "hep-th" ]
Mico Durdevic
hep-th/9311031
The Liouville Theory and SL(2,R) Symmetry
The Liouville action emerges as the effective action of 2-d gravity in the process of path integral quantization of the bosonic string. It yields a measure of the violation of classical symmetries of the theory at the quantum level. Certain aspects of the residual SL(2,R) invariance of the gauge-fixed Liouville theory ...
1993-11-04
2007-05-23
[ "hep-th" ]
M. Blagojevic
hep-th/9311032
Hamiltonian Analysis of SL(2,R) Symmetry in Liouville Theory
We consider a Hamiltonian analysis of the Liouville theory and construction of symmetry generators using Castellani's method. We then discuss the light-cone gauge fixed theory. In particular, we clarify the difference between Hamiltonian approaches based on different choices of time, $\xi^0$ and $\xi^+$. Our main resul...
1993-11-04
2010-04-06
[ "hep-th" ]
M.Blagojevic and T.Vukasinac
hep-th/9311027
Reflection Bootstrap Equations for Toda Field Theory
An algebraic approach to integrable quantum field theory with a boundary (a half line) is presented and interesting algebraic equations, Reflection equations (RE) and Reflection Bootstrap equations (RBE) are discussed. The Reflection equations are a consistent generalisation of Yang-Baxter equations for factorisable sc...
1993-11-04
2007-05-23
[ "hep-th" ]
R. Sasaki
hep-th/9311033
QCD Originated Dynamical Symmetry for Hadrons
We extend previous work on the IR regime approximation of QCD in which the dominant contribution comes from a dressed two-gluon effective metric-like field $G_{\mu\nu} = g_{ab} B^{a}_{\mu} B^{b}_{\nu}$ ($g_{ab}$ a color SU(3) metric). The ensuring effective theory is represented by a pseudo-diffeomorphisms gauge theory...
1993-11-04
2007-05-23
[ "hep-th" ]
Djordje \v{S}ija\v{c}ki
hep-th/9311020
New series of 3D lattice integrable models
In this paper we present a new series of 3-dimensional integrable lattice models with $N$ colors. The case $N=2$ generalizes the elliptic model of our previous paper. The weight functions of the models satisfy modified tetrahedron equations with $N$ states and give a commuting family of two-layer transfer-matrices. The...
1993-11-03
2015-06-26
[ "hep-th" ]
V.V. Mangazeev, S.M. Sergeev, Yu.G. Stroganov
hep-th/9311016
Parity and Front-Form Quantization of Field Theories
Recently, we proposed a new front-form quantization which treated both the $x^{+}$ and the $x^{-}$ coordinates as front-form 'times.' This quantization was found to preserve parity explicitly. In this paper we extend this construction to fermion fields in the context of the Yukawa theory. We quantize this theory using ...
1993-11-03
2015-06-26
[ "hep-th" ]
Ovid C. Jacob
hep-th/9311024
Invariant Correlations in Simplicial Gravity
Some first results are presented regarding the behavior of invariant correlations in simplicial gravity, with an action containing both a bare cosmological term and a lattice higher derivative term. The determination of invariant correlations as a function of geodesic distance by numerical methods is a difficult task, ...
1993-11-03
2009-10-22
[ "hep-th" ]
Herbert W. Hamber
hep-th/9311018
Sum-over-histories representation for the causal Green function of free scalar field theory
A set of Green functions ${\cal G}_{\alpha}(x-y), \alpha \in [0, 2 \pi [$, for free scalar field theory is introduced, varying between the Hadamard Green function $\Delta_1(x-y) \equiv \linebreak[2] \lsta{0} \hspace{-0.1cm} \{ \varphi(x), \varphi(y) \} \hspace{-0.1cm} \rsta{0}$ and the causal Green function ${\cal G}_{...
1993-11-03
2014-12-15
[ "hep-th" ]
Oliver Rudolph
hep-th/9311021
Status of Fractional Superstrings
A brief review of the motivation and the present status of Fractional Superstring is presented. Talk at ``Strings 93'', Berkeley, May 1993.
1993-11-03
2007-05-23
[ "hep-th" ]
S.-H.H. Tye
hep-th/9311023
Hot QCD
I discuss a comprehensive approach to the spacelike physics in high temperature QCD in three dimensions. The approach makes use of dimensional reduction. I suggest that this approach is useful for high temperature QCD in four dimensions.
1993-11-03
2011-04-20
[ "hep-th" ]
I. Zahed
hep-th/9311019
Quantum Back Reaction on a Classical Field
We show how to apply post selection in the context of weak measurement of Aharonov and collaborators to construct the quantum back reaction on a classical field. The particular case which we study in this paper is pair creation in an external electric field and the back reaction is the counter field produced by the pai...
1993-11-03
2009-10-22
[ "hep-th" ]
R. Brout, S. Massar, S. Popescu, R. Parentani, Ph. Spindel
hep-th/9311022
Einstein-Yang-Mills Theory with a Massive Dilaton and Axion: String-Inspired Regular and Black Hole Solutions
We study the classical theory of a non-Abelian gauge field (gauge group $SU(2)$) coupled to a massive dilaton, massive axion and Einstein gravity. The theory is inspired by the bosonic part of the low-energy heterotic string action for a general Yang-Mills field, which we consider to leading order after compactificatio...
1993-11-03
2010-11-01
[ "hep-th" ]
Christopher M. O'Neill
hep-th/9311017
Quantization of Gauge Field Theories on the Front-Form without Gauge Constraints I : The Abelian Case
Recently, we have proposed a new front-form quantization which treated both the $x^{+}$ and the $x^{-}$ coordinates as front-form 'times.' This quantization was found to preserve parity explicitly. In this paper we extend this construction to local Abelian gauge fields . We quantize this theory using a method proposed ...
1993-11-03
2013-11-13
[ "hep-th" ]
Ovid C. Jacob
hep-th/9311014
Mirror Symmetry for Hypersurfaces in Weighted Projective Space and Topological Couplings
By means of toric geometry we study hypersurfaces in weighted projective space of dimension four. In particular we compute for a given manifold its intrinsic topological coupling. We find that the result agrees with the calculation of the corresponding coupling on the mirror model in the large complex structure limit.
1993-11-02
2009-10-22
[ "hep-th", "alg-geom", "math.AG" ]
P. Berglund and S. Katz
hep-th/9311012
Duality invariant class of exact string backgrounds
We consider a class of $2+D$ - dimensional string backgrounds with a target space metric having a covariantly constant null Killing vector and flat `transverse' part. The corresponding sigma models are invariant under $D$ abelian isometries and are transformed by $O(D,D)$ duality into models belonging to the same class...
1993-11-02
2009-09-17
[ "hep-th" ]
C. Klimcik and A.A.Tseytlin
hep-th/9311013
A One Dimensional Ideal Gas of Spinons, or Some Exact Results on the XXX Spin Chain with Long Range Interaction
We describe a few properties of the XXX spin chain with long range interaction. The plan of these notes is: 1. The Hamiltonian 2. Symmetry of the model 3. The irreducible multiplets 4. The spectrum 5. Wave functions and statistics 6. The spinon description 7. The thermodynamics
1993-11-02
2016-09-06
[ "hep-th" ]
D. Bernard, V. Pasquier and D. Serban
hep-th/9311011
Is the Lowest Order Supersymmetric WKB Approximation Exact for All Shape Invariant Potentials ?
It has previously been proved that the lowest order supersymmetric WKB approximation reproduces the exact bound state spectrum of shape invariant potentials. We show that this is not true for a new, recently discovered class of shape invariant potentials and analyse the reasons underlying this breakdown of the usual pr...
1993-11-02
2009-10-22
[ "hep-th" ]
D.T.Barclay, Avinash Khare and U.Sukhatme
hep-th/9311015
Glueball spectrum in a (1+1)-dimensional model for QCD
We consider (1+1)-dimensional QCD coupled to scalars in the adjoint representation of the gauge group SU($N$). This model results from dimensional reduction of the (2+1)-dimensional pure glue theory. In the large-N limit we study the spectrum of glueballs numerically, using the discretized \lcq. We find a discrete spec...
1993-11-02
2009-10-22
[ "hep-th" ]
Kre\v{s}imir Demeterfi, Igor R. Klebanov and Gyan Bhanot
hep-th/9311007
Dynamical Moving Mirrors and Black Holes
A simple quantum mechanical model of $N$ free scalar fields interacting with a dynamical moving mirror is formulated and shown to be equivalent to two-dimensional dilaton gravity. We derive the semi-classical dynamics of this system, by including the back reaction due to the quantum radiation. We develop a hamiltonian ...
1993-11-01
2010-11-01
[ "hep-th", "gr-qc" ]
Tze-Dan Chung and Herman Verlinde
hep-th/9311008
Chiral bosons and improper constraints
We argue that a consistent quantization of the Floreanini-Jackiw model, as a constrained system, should start by recognizing the improper nature of the constraints. Then each boundary conditon defines a problem which must be treated sparately. The model is settled on a compact domain which allows for a discrete formula...
1993-11-01
2009-10-22
[ "hep-th" ]
F. P. Devecchi and H. O. Girotti
hep-th/9311003
Theory of Superselection Sectors for Generalized Ising models
We apply the theory of superselection sectors in the same way as done by G.Mack and V.Schomerus for the Ising model to generalizations of this model described by J.Fr\"{o}hlich and T.Kerler.
1993-11-01
2016-08-14
[ "hep-th" ]
J.R.Reyes Mart\'inez
hep-th/9311004
Affine Lie Algebras in Massive Field Theory and Form-Factors from Vertex Operators
We present a new application of affine Lie algebras to massive quantum field theory in 2 dimensions, by investigating the $q\to 1$ limit of the q-deformed affine $\hat{sl(2)}$ symmetry of the sine-Gordon theory, this limit occurring at the free fermion point. Working in radial quantization leads to a quasi-chiral facto...
1993-11-01
2009-10-22
[ "hep-th" ]
Andre LeClair
hep-th/9311002
Unification of gauge couplings in Kaluza-Klein theory with two internal manifolds
We consider a Kaluza-Klein theory whose ground state is ${\bf R}^4 \times {\bf M } \times {\bf K}$ where ${\bf M}$ and ${\bf K}$ are compact, irreducible, homogenous internal mani folds. This is the simplest ground state compatible with the existence of the graviton, gauge fields, massless scalar fields and the absence...
1993-11-01
2009-10-22
[ "hep-th" ]
M. Arik and V. Gabay
hep-th/9311005
Tachyon Hair for Two-Dimensional Black Holes
Using a combination of analytical and numerical methods, we obtain a two-dimensional spacetime describing a black hole with tachyon hair. The physical ADM mass of the black hole is finite. The presence of tachyon hair increases the Hawking temperature.
1993-11-01
2009-09-25
[ "hep-th" ]
Alan Kostelecky and Malcolm Perry
hep-th/9311001
Path Integration and Separation of Variables in Spaces of Constant Curvature in Two and Three Dimensions
In this paper path integration in two- and three-dimensional spaces of constant curvature is discussed: i.e.\ the flat spaces $\bbbr^2$ and $\bbbr^3$, the two- and three-dimensional sphere and the two- and three dimensional pseudosphere. The Laplace operator in these spaces admits separation of variables in various coo...
1993-11-01
2011-07-19
[ "hep-th" ]
Christian Grosche
hep-th/9311006
Super--Lax Operator Embedded in Self--Dual Supersymmetric Yang--Mills Theory
We show that the super-Lax operator for $~N=1$~ supersymmetric Kadomtsev-Petviashvili equation of Manin and Radul in three-dimensions can be embedded into recently developed self-dual supersymmetric Yang-Mills theory in $~2+2\-$dimensions, based on general features of its underlying super-Lax equation. The differential...
1993-11-01
2015-06-26
[ "hep-th" ]
H. Nishino
hep-th/9311010
Gauging a Non-Semi-Simple WZW Model
We consider gauged WZW models based on a four dimensional non-semi-simple group. We obtain conformal $\s$-models in $D=3$ spacetime dimensions (with exact central charge $c=3$) by axially and vectorially gauging a one-dimensional subgroup. The model obtained in the axial gauging is related to the $3D$ black string afte...
1993-11-01
2009-10-22
[ "hep-th" ]
Konstadinos Sfetsos
hep-th/9311009
Quantum Background Independence of Closed String Field Theory
We prove local background independence of the complete quantum closed string field theory using the recursion relations for string vertices and the existence of connections in CFT theory space. Indeed, with this data we construct an antibracket preserving map between the state spaces of two nearby conformal theories ta...
1993-11-01
2009-09-15
[ "hep-th" ]
Ashoke Sen and Barton Zwiebach
hep-th/9310197
The WZNW model as an integrable perturbation of the Witten conformal point
We show that the WZNW model with arbitrary $\sigma$-model coupling constant may be viewed as a $\sigma$-model perturbation of the WZNW theory around the Witten conformal point. In order for the $\sigma$-model perturbation to be relevant, the level $k$ of the underlying affine algebra has to be negative. We prove that i...
1993-10-31
2011-07-19
[ "hep-th" ]
Oleg A. Soloviev
hep-th/9310201
Generalized Measures in Gauge Theory
Let P -> M be a principal G-bundle. Using techniques from the loop representation of gauge theory, we construct well-defined substitutes for ``Lebesgue measure'' on the space A of connections on P and for ``Haar measure'' on the group Ga of gauge transformations. More precisely, we define algebras of ``cylinder functio...
1993-10-31
2009-10-22
[ "hep-th", "math.OA" ]
John C. Baez
hep-th/9310200
On the Universal String Theory
Very recently Berkovits and Vafa have argued that the $N{=}0$ string is a particular choice of background of the $N{=}1$ string. Under the assumption that the physical states of the $N{=}0$ string theory came essentially from the matter degrees of freedom, they proved that the amplitudes of both string theories agree. ...
1993-10-31
2020-10-19
[ "hep-th" ]
J.M. Figueroa-O'Farrill
hep-th/9310199
Heating Field Theory the ``Environmentally Friendly'' Way!
We discuss how to implement an ``environmentally friendly'' renormalization in the context of finite temperature field theory. Environmentally friendly renormalization provides a method for interpolating between the different effective field theories which characterize different asymptotic regimes. We give explicit two...
1993-10-31
2007-05-23
[ "hep-th" ]
M. A. van Ejick, Denjoe O'Connor and C. R. Stephens
hep-th/9310202
String Propagation in Gravitational Wave Backgrounds
The Conformal Field Theory of the current algebra of the centrally extended 2-d Euclidean group is analyzed. Its representations can be written in terms of four free fields (without background charge) with signature ($-$+++). We construct all irreducible representations of the current algebra with unitary base out of t...
1993-10-31
2009-10-22
[ "hep-th" ]
E. Kiritsis and C. Kounnas
hep-th/9310198
Environmentally Friendly Renormalization
We analyze the renormalization of systems whose effective degrees of freedom are described in terms of fluctuations which are ``environment'' dependent. Relevant environmental parameters considered are: temperature, system size, boundary conditions, and external fields. The points in the space of \lq\lq coupling consta...
1993-10-31
2015-06-26
[ "hep-th" ]
Denjoe O'Connor and C. R. Stephens
hep-th/9310196
Quantum Weyl algebras
For any Hecke symmetry $R$ there is a natural quantization $A_n(R)$ of the Weyl algebra $A_n$. The aim of this paper is to study some general ring-theoretic aspects of $A_n(R)$ and its relations to formal deformations of $A_n$. We also obtain further information on those quantizations obtained from some well-known Heck...
1993-10-30
2008-02-03
[ "hep-th", "math.QA" ]
A. Giaquinto and J. J. Zhang
hep-th/9310192
Superconformal Covariantization Of Superdifferential Operator On (1|1) Superspace And Classical N=2 W-superalgebras
A study of the superconformal covariantization of superdifferential operators defined on $(1|1)$ superspace is presented. It is shown that a superdifferential operator with a particular type of constraint can be covariantized only when it is of odd order. In such a case, the action of superconformal transformation on t...
1993-10-29
2011-07-19
[ "hep-th" ]
Wen-Jui Huang
hep-th/9310194
Supersymmetry of the 2+1 black holes
The supersymmetry properties of the asymptotically anti-de Sitter black holes of Einstein theory in 2+1 dimensions are investigated. It is shown that (i) the zero mass black hole has two exact super- symmetries; (ii) extreme $lM=|J|$ black holes with $M \not= 0$ have only one; and (iii) generic black holes do not have ...
1993-10-29
2009-10-22
[ "hep-th", "gr-qc" ]
O. Coussaert and M. Henneaux
hep-th/9310190
Time-Dependent Backgrounds in 2D String Theory and the $S$-matrix Generating Functional
We study the time-dependent tachyon backgrounds of the string collective field theory using the formalism of the $S$-matrix generating functional. In the process we clarify the connection between two ways of calculating the $S$-matrix, the one using the Feynman rule and the other using the classical solution to the non...
1993-10-29
2013-11-13
[ "hep-th" ]
Julian Lee
hep-th/9310193
Scaling Violation in O(N) Vector Models
We investigate $O(N)$-symmetric vector field theories in the double scaling limit. Our model describes branched polymeric systems in $D$ dimensions, whose multicritical series interpolates between the Cayley tree and the ordinary random walk. We give explicit forms of residual divergences in the free energy, analogous ...
1993-10-29
2015-06-26
[ "hep-th" ]
Shinsuke Nishigaki
hep-th/9310191
Matrix Models of 2D Gravity and Induced QCD
I review some recent works on the Hermitean one-matrix and d-dimensional gauge-invariant matrix models. Special attention is paid to solving the models at large-N by the loop equations. For the one-matrix model the main result concerns calculations of higher genera, while for the d-dimensional model the large-N solutio...
1993-10-29
2007-05-23
[ "hep-th" ]
Yu. Makeenko
hep-th/9310195
Constrained effective potential in hot QCD
Constrained effective potentials in hot gauge theory give the probability that a configuration p of the order parameter (Polyakov loop) occurs. They are important in the analysis of surface effects and bubble formation in the plasma. The vector potential appears non-linearly in the loop; in weak coupling the linear ter...
1993-10-29
2010-11-01
[ "hep-th" ]
C.P.Korthals Altes
hep-th/9310187
Conformal Field Theory and Geometry of Strings
What is quantum geometry? This question is becoming a popular leitmotiv in theoretical physics and in mathematics. Conformal field theory may catch a glimpse of the right answer. We review global aspects of the geometry of conformal fields, such as duality and mirror symmetry, and interpret them within Connes' non-comm...
1993-10-28
2008-02-03
[ "hep-th" ]
Jurg Frohlich and Krzysztof Gawedzki
hep-th/9310186
Measurement Theory in Lax-Phillips Formalism
It is shown that the application of Lax-Phillips scattering theory to quantum mechanics provides a natural framework for the realization of the ideas of the Many-Hilbert-Space theory of Machida and Namiki to describe the development of decoherence in the process of measurement. We show that if the quantum mechanical ev...
1993-10-28
2009-10-22
[ "hep-th" ]
S. Tasaki, E. Eisenberg, L. P. Horwitz
hep-th/9310188
Bound State Boundary S-matrix of the sine-Gordon Model
We study the boundary S-matrix for the reflection of bound states of the two-dimensional sine-Gordon integrable field theory in the presence of a boundary.
1993-10-28
2010-01-07
[ "hep-th" ]
Subir Ghoshal
hep-th/9310183
Infinite Families of Gauge-Equivalent $R$-Matrices and Gradations of Quantized Affine Algebras
Associated with the fundamental representation of a quantum algebra such as $U_q(A_1)$ or $U_q(A_2)$, there exist infinitely many gauge-equivalent $R$-matrices with different spectral-parameter dependences. It is shown how these can be obtained by examining the infinitely many possible gradations of the corresponding q...
1993-10-28
2010-12-01
[ "hep-th" ]
Anthony J. Bracken, Gustav W. Delius, Mark D. Gould and Yao-Zhong Zhang
hep-th/9310185
BPST instanton and Spin from inequivalent quantizations
We present a simple alternative to Mackey's account of the (infinite) inequivalent quantizations possible on a coset space G/H. Our reformulation is based on the reduction ${\rm G \rightarrow G/H}$ and employs a generalized form of Dirac's approach to the quantization of constrained systems. When applied to the four-sp...
1993-10-28
2009-10-22
[ "hep-th" ]
David McMullan and Izumi Tsutsui
hep-th/9310189
Anyons as quon particles
The momentum operator representation of nonrelativistic anyons is developed in the Chern - Simons formulation of fractional statistics. The connection between anyons and the q-deformed bosonic algebra is established.
1993-10-28
2009-10-22
[ "hep-th" ]
V.Bardek, M.Doresic and S.Meljanac
hep-th/9310184
Orbifold Compactifications with continuous Wilson lines
We identify the untwisted moduli of heterotic orbifold compactifications for the case, when the gauge twist is realized by a rotation. The Wilson lines are found to have both continuous and discrete parts. For the case of the standard Z(3) orbifold we classify all possibilities of breaking the gauge group E(6) times SU...
1993-10-28
2014-11-18
[ "hep-th" ]
Thomas Mohaupt
hep-th/9310182
Classification of Non-Abelian Chern-Simons Vortices
The two-dimensional self-dual Chern-Simons equations are equivalent to the conditions for static, zero-energy vortex-like solutions of the (2+1) dimensional gauged nonlinear Schr\"odinger equation with Chern-Simons matter-gauge coupling. The finite charge vacuum states in the Chern-Simons theory are shown to be gauge e...
1993-10-27
2007-05-23
[ "hep-th" ]
Gerald Dunne
hep-th/9310177
A Note on the Relation between Different Forms of Superparticle Dynamics'
A formulation of $D\is 10$ superparticle dynamics is given that contain space-time and twistor variables. The set of constraints is entirely first class, and gauge conditions may be imposed that reduces the system to a Casalbuoni-Brink-Schwarz superparticle, a spinning particle or a twistor particle.
1993-10-27
2015-06-26
[ "hep-th" ]
Martin Cederwall
hep-th/9310176
Elements of Reality and the Failure of the Product Rule Measurability of Commuting Observables
The concept of ``elements of reality" is analyzed within the framework of quantum theory. It is shown that elements of reality fail to fulfill the product rule. This is the core of recent proofs of the impossibility of a Lorentz-invariant interpretation of quantum mechanics. A generalization and extension of the concep...
1993-10-27
2007-05-23
[ "hep-th" ]
Lev Vaidman
hep-th/9310180
Bosonization of a Topological Coset Model and Non-Critical String Theory
We analyze the relation between a topological coset model based on super $SL(2,R)/U(1)$ coset and non-critical string theory by using free field realization. We show that the twisted $N=2$ algebra of the coset model can be naturally transformed into that of non-critical string. The screening operators of the coset mode...
1993-10-27
2009-10-22
[ "hep-th" ]
Nobuyoshi Ohta and Hisao Suzuki
hep-th/9310178
Supercurrents on Asymmetric Orbifolds
We study $E_8 \times E_8$-heterotic string on asymmetric orbifolds associated with semi-simple simply-laced Lie algebras. Using the fact that $E_6$-model allows different twists, we present a new N=1 space-time supersymmetric model whose supercurrent appears from twisted sectors but not untwisted sector.
1993-10-27
2010-11-01
[ "hep-th" ]
Yasumasa Imamura
hep-th/9310181
Classification of Quantum Hall Universality Classes by $\ W_{1+\infty}\ $ symmetry
We show how two-dimensional incompressible quantum fluids and their excitations can be viewed as $\ W_{1+\infty}\ $ edge conformal field theories, thereby providing an algebraic characterization of incompressibility. The Kac-Radul representation theory of the $\ W_{1+\infty}\ $ algebra leads then to a purely algebraic ...
1993-10-27
2009-10-22
[ "hep-th", "cond-mat" ]
A. Cappelli, C. A. Trugenberger and G. R. Zemba
hep-th/9310179
Algebraic structure of Gravity with Torsion
The BRS transformations for gravity with torsion are discussed by using the Maurer-Cartan horizontality conditions. With the help of an operator $\d$ which allows to decompose the exterior space-time derivative as a BRS commutator we solve the Wess-Zumino consistency condition corresponding to invariant Lagrangians and...
1993-10-27
2010-04-06
[ "hep-th" ]
O. Moritsch, M. Schweda and S. P. Sorella
hep-th/9310172
Inter-Relations of Solvable Potentials
Solvable Natanzon potentials in nonrelativistic quantum mechanics are known to group into two disjoint classes depending on whether the Schr\"odinger equation can be reduced to a hypergeometric or a confluent hypergeometric equation. All the potentials within each class are connected via point canonical transformations...
1993-10-26
2009-09-25
[ "hep-th" ]
Asim Gangopadhyaya, Prasanta K. Panigrahi, and Uday P. Sukhatme
hep-th/9310168
Special functions from quantum canonical transformations
Quantum canonical transformations are used to derive the integral representations and Kummer solutions of the confluent hypergeometric and hypergeometric equations. Integral representations of the solutions of the non-periodic three body Toda equation are also found. The derivation of these representations motivate the...
1993-10-26
2009-10-22
[ "hep-th" ]
Arlen Anderson
hep-th/9310169
Gauss Decomposition, Wakimoto Realisation and Gauged WZNW Models
The implications of gauging the Wess-Zumino-Novikov-Witten (WZNW) model using the Gauss decomposition of the group elements are explored. We show that, contrary to standard gauging of WZNW models, this gauging is carried out by minimally coupling the gauge fields. We find that this gauging, in the case of gauging an ab...
1993-10-26
2015-06-26
[ "hep-th" ]
H. Arfaei and Noureddine Mohammedi
hep-th/9310167
Perturbative Gauge Anomalies in the Hamiltonian Formalism: A Cohomological Analysis
The quantum action principle of renormalisation theory is applied to the antibracket-antifield formalism for Hamiltonian systems. General results on the local BRST cohomology allow one to prove that the anomalies appear in the time development of the BRST charge and violate the nilpotency of this charge. Furthermore th...
1993-10-26
2009-10-22
[ "hep-th" ]
G. Barnich
hep-th/9310174
Dilaton Black Holes with Electric Charge
Static spherically symmetric solutions of the Einstein-Maxwell gravity with the dilaton field are described. The solutions correspond to black holes and are generalizations of the previously known dilaton black hole solution. In addition to mass and electric charge these solutions are labeled by a new parameter, the di...
1993-10-26
2008-11-26
[ "hep-th" ]
Malik Rakhmanov
hep-th/9310175
Spin Structures on Kleinian Manifolds
We derive the topological obstruction to spin-Klein cobordism. This result has implications for signature change in general relativity, and for the $N=2$ superstring.
1993-10-26
2010-04-06
[ "hep-th", "gr-qc", "math.DG", "math.GT" ]
Lloyd Alty and Andrew Chamblin
hep-th/9310171
Example of q-deformed Field Theory
The non-relativistic Chern-Simons theory with the single-valued anyonic field is proposed as an example of q-deformed field theory. The corresponding q-deformed algebra interpolating between bosons and fermions,both in position and momentum spaces, is analyzed.A possible generalization to a space with an arbitrary dime...
1993-10-26
2015-06-26
[ "hep-th" ]
V.Bardek, M.Doresic and S.Meljanac
hep-th/9310170
On the Uniqueness of String Theory
We show that bosonic strings may be viewed as a particular class of vacua for N=1 superstrings, and N=1 superstrings may be viewed as a particular class of vacua for N=2 strings. Continuing this line of string hierarchies, we are led to search for a universal string theory which includes all the rest as a special vacuu...
1993-10-26
2015-06-26
[ "hep-th" ]
Nathan Berkovits and Cumrun Vafa
hep-th/9310173
The Dirac-Coulomb Problem for the $\kappa$-Poincare Quantum Group
The recently introduced $\kappa$-Poincare-Dirac equation is gauged to treat the $\kappa$-Dirac-Coulomb problem. For the resulting equation, we prove that the perturbation to first order in the quantum group parameter vanishes identically. The second order perturbation is singular, but assuming a heuristic cut-off allow...
1993-10-26
2009-10-22
[ "hep-th" ]
L.C. Biedenharn, B. Mueller, and M. Tarlini
hep-th/9310165
Wilson loop for large N Yang-Mills theory on a two-dimensional sphere
We calculate various Wilson loop averages in a pure $SU(N)$-gauge theory on a two-dimensional sphere, in the large $N$ limit. The results can be expressed through the density of rows in the most probable Young tableau. They are valid in both phases (small and large areas of the sphere). All averages for self-intersecti...
1993-10-26
2009-10-22
[ "hep-th" ]
Jean-Marc DAUL and Vladimir A.KAZAKOV
hep-th/9310166
Construction of topological field theories using BV
We discuss in detail the construction of topological field theories using the Batalin--Vilkovisky (BV) quantisation scheme. By carefully examining the dependence of the antibracket on an external metric, we show that differentiating with respect to the metric and the BRST charge do not commute in general. We introduce ...
1993-10-26
2009-10-22
[ "hep-th" ]
F. De Jonghe and S. Vandoren
hep-th/9310163
Induced Polyakov supergravity on Riemann surfaces of higher genus
An effective action is obtained for the $N=1$, $2D-$induced supergravity on a compact super Riemann surface (without boundary) $\hat\Sigma$ of genus $g>1$, as the general solution of the corresponding superconformal Ward identity. This is accomplished by defining a new super integration theory on $\hat\Sigma$ which inc...
1993-10-25
2010-04-06
[ "hep-th" ]
J-P Ader and H.Kachkachi
hep-th/9310162
On the Path Integral in Imaginary Lobachevsky Space
The path integral on the single-sheeted hyperboloid, i.e.\ in $D$-dimensional imaginary Lobachevsky space, is evaluated. A potential problem which we call ``Kepler-problem'', and the case of a constant magnetic field are also discussed.
1993-10-25
2009-10-22
[ "hep-th" ]
Christian Grosche
hep-th/9310164
Spherical Categories
This paper is a study of monoidal categories with duals where the tensor product need not be commutative. The motivating examples are categories of representations of Hopf algebras and the motivating application is the definition of 6j-symbols as used in topological field theories. We introduce the new notion of a sp...
1993-10-25
2008-11-26
[ "hep-th", "math.QA" ]
John W. Barrett and Bruce W. Westbury
hep-th/9310161
A possible origin of symmetric/asymmetric vertex models
This paper is removed from the network permanently. The content in this paper has now been put together with hep-th/9310183. See the recently replaced and widely revised version of the latter.
1993-10-25
2008-02-03
[ "hep-th" ]
Anthony J. Bracken, Yao-Zhong Zhang and Mark D Gould
hep-th/9310160
Kac and New Determinants for Fractional Superconformal Algebras
We derive the Kac and new determinant formulae for an arbitrary (integer) level $K$ fractional superconformal algebra using the BRST cohomology techniques developed in conformal field theory. In particular, we reproduce the Kac determinants for the Virasoro ($K=1$) and superconformal ($K=2$) algebras. For $K\geq3$ ther...
1993-10-24
2009-10-22
[ "hep-th" ]
Zurab Kakushadze and S.-H. Henry Tye
hep-th/9310156
Space-time Geometry in Exactly Solvable Quantum Dilaton Gravity
We describe in detail how one can extract space-time geometry in an exactly solvable model of quantum dilaton gravity of the type proposed by Callan, Giddings, Harvey and Strominger ( CGHS ). Based on our previous work, in which a model with 24 massless matter scalars was quantized rigorously in BRST operator formalism...
1993-10-23
2009-10-22
[ "hep-th" ]
Y. Kazama and Y. Satoh
hep-th/9310159
Antisymmetric tensor coupling and conformal invariance in sigma models corresponding to gauged WZNW theories
String backgrounds associated with gauged $G/H$ WZNW models generically depend on $\alpha'$ or $1/k$. The exact expressions for the corresponding metric $G_{\m\n}$, antisymmetric tensor $B_{\m\n}$, and dilaton $\phi$ can be obtained by eliminating the $2d$ gauge field from the local part of the effective action of the ...
1993-10-23
2009-09-17
[ "hep-th" ]
K. Sfetsos and A.A. Tseytlin
hep-th/9310158
The Yangian symmetry of the Hubbard Model
We discovered new hidden symmetry of the one-dimensional Hubbard model. We showthat the one-dimensional Hubbard model on the infinite chain has the infinite-dimensional algebra of symmetries. This algebra is a direct sum of two $ sl(2) $-Yangians. This $ Y(sl(2)) \oplus Y(sl(2)) $ symmetry is an extension of the well-k...
1993-10-23
2009-10-22
[ "hep-th", "cond-mat" ]
D.B.Uglov and V.E.Korepin
hep-th/9310155
Extraction of Black Hole Geometry in Exactly Quantized Two Dimensional Dilaton Gravity
Based on our previous work, in which a model of two dimensional dilaton gravity of the type proposed by Callan, Giddings, Harvey and Strominger was rigorously quantized, we explicitly demonstrate how one can extract space-time geometry in exactly solvable theory of quantum gravity. In particular, we have been able to p...
1993-10-23
2009-12-30
[ "hep-th" ]
Y. Kazama and Y. Satoh
hep-th/9310157
Black Hole Complementarity and the Physical Origin of the Stretched Horizon
We discuss the idea of black hole complementarity, recently suggested by Susskind et al., and the notion of stretched horizon, in the light of the generalized uncertainty principle of quantum gravity. We discuss implications for the no-hair theorem and we show that within this approach quantum hair arises naturally.
1993-10-23
2009-10-22
[ "hep-th", "gr-qc" ]
Michele Maggiore
hep-th/9310151
Limits on extra dimensions in orbifold compactifications of superstrings
Perturbative breaking of supersymmetry in four-dimensional string theories predict in general the existence of new large dimensions at the TeV scale. Such dimensions can be consistent with perturbative unification up to the Planck scale in a class of string models and open the exciting possibility of lowering a part of...
1993-10-22
2008-11-26
[ "hep-th", "hep-ph" ]
I. Antoniadis and K. Benakli
hep-th/9310152
Scalar Fields Coupled to Four-Dimensional Lattice Gravity
I discuss some results we have obtained recently in a lattice model for quantized gravity coupled to scalar matter in four dimensions. We have looked at how the continuous phase transition separating the smooth from the rough phase of gravity is influenced by the presence of the scalar field. We find that close to the ...
1993-10-22
2007-05-23
[ "hep-th" ]
Herbert W. Hamber (UC Irvine)
hep-th/9310154
Lattice W algebras and quantum groups
We represent Feigin's construction [11] of lattice W algebras and give some simple results: lattice Virasoro and $W_3$ algebras. For simplest case $g=sl(2)$ we introduce whole $U_q(sl(2))$ quantum group on this lattice. We find simplest two-dimensional module as well as exchange relations and define lattice Virasoro al...
1993-10-22
2008-02-03
[ "hep-th", "math.QA" ]
S. V. Kryukov, Ya. P. Pugay
hep-th/9310148
Algebraic connections on parallel universes
For any manifold $M$, we introduce a $\ZZ $-graded differential algebra $\Xi$, which, in particular, is a bi-module over the associative algebra $C(M\cup M)$. We then introduce the corresponding covariant differentials and show how this construction can be interpreted in terms of Yang-Mills and Higgs fields. This is a ...
1993-10-22
2009-10-22
[ "hep-th" ]
R. Coquereaux, R. Haussling, F. Scheck
hep-th/9310147
Currents on Grassmann algebras
We define currents on a Grassmann algebra $Gr(N)$ with $N$ generators as distributions on its exterior algebra (using the symmetric wedge product). We interpret the currents in terms of ${\Z}_2$-graded Hochschild cohomology and closed currents in terms of cyclic cocycles (they are particular multilinear forms on $Gr(N)...
1993-10-22
2015-06-26
[ "hep-th" ]
R. Coquereaux, E. Ragoucy
hep-th/9310153
On equivalence of Floer's and quantum cohomology
(In the revised version the relevant aspect of noncompactness of the moduli of instantons is discussed. It is shown nonperturbatively that any BRST trivial deformation of A-model which does not change the ranks of BRST cohomology does not change the topological correlation functions either) We show that the Floer cohom...
1993-10-22
2009-10-22
[ "hep-th" ]
V. Sadov
hep-th/9310149
The Higgs model for anyons and Liouville action
We connect Liouville theory, anyons and Higgs model in a purely geometrical way.
1993-10-22
2009-10-22
[ "hep-th", "cond-mat", "hep-ph" ]
Marco Matone
hep-th/9310139
On the fundamental representation of Borcherds algebras with one imaginary simple root
Borcherds algebras represent a new class of Lie algebras which have almost all the properties that ordinary Kac-Moody algebras have, and the only major difference is that these generalized Kac-Moody algebras are allowed to have imaginary simple roots. The simplest nontrivial examples one can think of are those where on...
1993-10-21
2009-10-22
[ "hep-th", "math.QA" ]
R. W. Gebert, J. A. Teschner
hep-th/9310144
Lectures on 2d Gauge Theories: Topological Aspects and Path Integral Techniques
These are lecture notes of lectures presented at the 1993 Trieste Summer School, dealing with two classes of two-dimensional field theories, (topological) Yang-Mills theory and the G/G gauged WZW model. The aim of these lectures is to exhibit and extract the topological information contained in these theories, and to p...
1993-10-21
2007-05-23
[ "hep-th" ]
Matthias Blau and George Thompson
hep-th/9310145
Poisson Lie Group Symmetries for the Isotropic Rotator
We find a new Hamiltonian formulation of the classical isotropic rotator where left and right $SU(2)$ transformations are not canonical symmetries but rather Poisson Lie group symmetries. The system corresponds to the classical analog of a quantum mechanical rotator which possesses quantum group symmetries. We also exa...
1993-10-21
2015-06-26
[ "hep-th" ]
G. Marmo, A. Simoni, A. Stern
hep-th/9310142
Spinor and Isospinor Structure of Relativistic Particle Propagators
Representations by means of path integrals are used to find spinor and isospinor structure of relativistic particle propagators in external fields. For Dirac propagator in an external electromagnetic field all grassmannian integrations are performed and a general result is presented via a bosonic path integral. The spi...
1993-10-21
2009-10-22
[ "hep-th" ]
D.M.Gitman and Sh.M. Shvartsman (Institute of Physics University of S\~ao Paulo, Brasil; Dept. of Physics, Case Western Reserve University, Cleveland, USA)
hep-th/9310138
Symplectic Manifolds, Coherent States and Semiclassical Approximation
We describe the symplectic structure and Hamiltonian dynamics for a class of Grassmannian manifolds. Using the two dimensional sphere ($S^2$) and disc ($D^2$) as illustrative cases, we write their path integral representations using coherent state techniques. These path integrals can be evaluated exactly by semiclassic...
1993-10-21
2010-11-01
[ "hep-th" ]
S. G. Rajeev, S. Kalyana Rama, and Siddhartha Sen
hep-th/9310143
Non-Perturbative interactions in two-dimensional (super) string theory
Non-perturbative interactions in the effective action of two-dimensional bosonic string theory are described. These interactions are due to ``stringy" instantons that are associated with a space-varying coupling parameter. We present progress towards identifying similar non-perturbative interactions in the effective ac...
1993-10-21
2007-05-23
[ "hep-th" ]
R. Brustein, M. Faux and B. Ovrut
hep-th/9310146
A Generalized Gauge Invariant Regularization of the Schwinger Model
The Schwinger model is studied with a new one - parameter class of gauge invariant regularizations that generalizes the usual point - splitting or Fujikawa schemes. The spectrum is found to be qualitatively unchanged, except for a limiting value of the regularizing parameter, where free fermions appear in the spectrum.
1993-10-21
2009-10-22
[ "hep-th" ]
G. Bhattacharya, A. Ghosh and P. Mitra
hep-th/9310141
Finite temperature effective potential on hyperbolic spacetimes
The finite temperature one-loop effective potential for a scalar field defined on an ultrastatic spacetime, whose spatial part is a compact hyperbolic manifold, is studied. Different analytic expressions, especially valuable at low and high temperature are derived. Based on these results, the symmetry breaking and the ...
1993-10-21
2011-08-17
[ "hep-th" ]
Guido Cognola, Klaus Kirsten, Luciano Vanzo and Sergio Zerbini
hep-th/9310140
4D Quantum Affine Algebras and Space--Time q-Symmetries
A global model of $q$-deformation for the quasi--orthogonal Lie algebras generating the groups of motions of the four--dimensional affine Cayley--Klein geometries is obtained starting from the three dimensional deformations. It is shown how the main algebraic classical properties of the CK systems can be implemented in...
1993-10-21
2009-10-22
[ "hep-th", "math.QA" ]
A. Ballesteros, F.J. Herranz, M.A. del Olmo and M. Santander