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hep-th/9210107
Matrix Models and Black Holes
We show that an integral transform of the fluctuations of the collective field of the $d=1$ matrix model satisfy the same linearized equation as that of the massless "tachyon" in the black hole background of the two dimensional critical string. This suggests that the $d=1$ matrix model may provide a non-perturbative de...
1992-10-20
2009-10-22
[ "hep-th" ]
Sumit R. Das
hep-th/9210104
Four-Parameter Point-Interaction in 1-D Quantum Systems
We construct a four-parameter point-interaction for a non-relativistic particle moving on a line as the limit of a short range interaction with range tending toward zero. For particular choices of the parameters, we can obtain a delta-interaction or the so-called delta'-interaction. The Hamiltonian corresponding to the...
1992-10-19
2009-10-22
[ "hep-th", "cond-mat" ]
Michel Carreau, (Boston University)
hep-th/9210101
Gravitational Collapse in 1+1 Dimensions and Quantum Gravity
We investigate the quantum theory of 1+1 dimensional dilaton gravity, which is an interesting toy model of the black hole dynamics. The functional measures of gravity part are explicitly evaluated and derive the Wheeler-DeWitt like equations as physical state conditions. In ADM formalism the measures are very ambiguous...
1992-10-19
2007-05-23
[ "hep-th" ]
K. Hamada
hep-th/9210098
Noncommutative Geometry and Gauge Theories on Discrete Groups
We build and investigate a pure gauge theory on arbitrary discrete groups. A systematic approach to the construction of the differential calculus is presented. We discuss the metric properties of the models and introduce the action functionals for unitary gauge theories. A detailed analysis of two simple models based o...
1992-10-19
2015-06-26
[ "hep-th" ]
Andrzej Sitarz
hep-th/9210102
On the Two-Point Correlation Function in Dynamical Scaling and SCHR\"Odinger Invariance
The extension of dynamical scaling to local, space-time dependent rescaling factors is investigated. For a dynamical exponent $z=2$, the corresponding invariance group is the Schr\"odinger group. Schr\"odinger invariance is shown to determine completely the two-point correlation function. The result is checked in two e...
1992-10-19
2015-06-26
[ "hep-th", "cond-mat", "hep-lat" ]
Malte Henkel
hep-th/9210105
Infinite symmetry and Ward identities in two-dimensional string theory
We review some of the recent progress in the continuum formulation of two-dimensional string theory, i.e. two-dimensional quantum gravity coupled to $c=1$ matter. Special attention is devoted to the discrete states and to the $w_\infty$ algebra they generate. To demonstrate the power of the infinite symmetry, we use th...
1992-10-19
2007-05-23
[ "hep-th" ]
Igor R. Klebanov and Andrea Pasquinucci
hep-th/9210099
The Supersymmetric Effective Action of the Heterotic String in Ten Dimensions
We construct the supersymmetric completion of quartic $R+R^4$-actions in the ten-dimensional effective action of the heterotic string. Two invariants, of which the bosonic parts are known from one-loop string amplitude calculations, are obtained. One of these invariants can be generalized to an $R+F^2+F^4$-invariant fo...
1992-10-19
2009-10-22
[ "hep-th" ]
M. de Roo, H. Suelmann and A. Wiedemann
hep-th/9210100
Quantum Group Symmetries in Conformal Field Theory
Quantum groups play the role of hidden symmetries of some two-dimensional field theories. We discuss how they appear in this role in the Wess-Zumino-Witten model of conformal field theory.
1992-10-19
2007-05-23
[ "hep-th" ]
Krzysztof Gaw\c{e}dzki
hep-th/9210103
Operator Algebra in Chern-Simons Theory on a Torus
We consider Chern-Simons gauge theory on a torus with both nonrelativistic and relativistic matter. It is shown that the Hamiltonian and two total momenta commute among themselves only in the physical Hilbert space. We also discuss relations among degenerate physical states, degenerate vacua, and the existence of multi...
1992-10-19
2009-10-22
[ "hep-th" ]
Choon-Lin Ho and Yutaka Hosotani
hep-th/9210097
Exactly Solvable Potentials and Quantum Algebras
Self-similar potentials and corresponding symmetry algebras are briefly discussed. Talk presented at the XIXth ICGTMP, Salamanca, 29 June - 4July 1992.
1992-10-18
2011-02-15
[ "hep-th" ]
V.Spiridonov
hep-th/9210096
Non-linear Field Theory of a Frustrated Heisenberg Spin Chain
We derive a continuum field theory for the Majumdar-Ghosh model in the large-$S$ limit, where the field takes values in the manifold of the $SO(3)$ group. No topological term is induced in the action and the cases for integer spin and half-integer spin appear to be indistinguishable. A one-loop $\beta -$function calcul...
1992-10-18
2009-10-22
[ "hep-th", "cond-mat" ]
Sumathi Rao and Diptiman Sen
hep-th/9210095
Symplectic Geometries on $T^*\widetilde{G}$, Hamiltonian Group Actions and Integrable Systems
Various Hamiltonian actions of loop groups $\wt G$ and of the algebra $\text{diff}_1$ of first order differential operators in one variable are defined on the cotangent bundle $T^*\wt G$ of a Loop Group. The moment maps generating the $\text{diff}_1$ actions are shown to factorize through those generating the loop grou...
1992-10-17
2014-10-07
[ "hep-th", "math.QA", "math.SG" ]
John Harnad and B. A. Kupershmidt
hep-th/9210094
A Candidate For The QCD String Based On Non-Backtracking Random Walks
A new string theory is proposed as a candidate for the large N limit of QCD. In this theory, strings are constrained to be non-backtracking; a condition that is essential for the gauge invariance of the underlying field theory.This condition is implemented by first placing the theory on a lattice and then introducing f...
1992-10-17
2009-10-22
[ "hep-th" ]
Korkut Bardakci
hep-th/9210086
Generalized $XYZ$ Model Associated to Sklyanin Algebra$^*$
The free energy of a lattice model, which is a generalization of the Heisenberg $XYZ$ model with the higher spin representation of the Sklyanin algebra, is calculated by the generalized Bethe Ansatz of Takhtajan and Faddeev. (Talk given at the XXI Differential Geometry Methods in Theoretical Physics, Tianjin, China 5-9...
1992-10-16
2007-05-23
[ "hep-th" ]
Takashi Takebe
hep-th/9210093
Exact Solutions for Self--Dual Yang--Mills and Self--Dual Tensor Multiplets on Gravitational Instanton Background
We give exact solutions for a recently developed ~$N=1$~ locally supersymmetric self-dual gauge theories in $~(2+2)\-$dimensions. We give the exact solutions for an $~SL(2)$~ self-dual Yang-Mills multiplet and what we call ``self-dual tensor multiplet'' on the gravitational instanton background by Eguchi-Hanson. We use...
1992-10-16
2009-10-22
[ "hep-th" ]
Hitoshi Nishino
hep-th/9210092
A Natural Mechanism for Supersymmetry Breaking with Zero Cosmological Constant (Minor corrections of some formulae, no substantial change)
Supersymmetric theories in four dimensions with chiral superfields have very rich BRS cohomology, which gives rise to potential anomalies in theories that contain composite antichiral spinor superfields. Assuming the coefficients are non-zero, absence of the anomalies would generate new constraints on theories. In addi...
1992-10-16
2008-02-03
[ "hep-th", "hep-ph" ]
J. A. Dixon
hep-th/9210089
Darboux Coordinates and Liouville-Arnold Integration in Loop Algebras
Darboux coordinates are constructed on rational coadjoint orbits of the positive frequency part $\wt{\frak{g}}^+$ of loop algebras. These are given by the values of the spectral parameters at the divisors corresponding to eigenvector line bundles over the associated spectral curves, defined within a given matrix repres...
1992-10-16
2009-10-22
[ "hep-th" ]
M.R. Adams, J. Harnad and J. Hurtubise
hep-th/9210084
Fermionic Coset Models as Topological Models
By considering the fermionic realization of $G/H$ coset models, we show that the partition function for the $U(1)/U(1)$ model defines a Topological Quantum Field Theory and coincides with that for a 2-dimensional Abelian BF system. In the non-Abelian case, we prove the topological character of $G/G$ coset models by exp...
1992-10-16
2015-06-26
[ "hep-th" ]
G.L. Rossini and F.A. Schaposnik
hep-th/9210088
A Conformal Affine Toda Model of 2D Black Holes: A Quantum Study of the Evaporation End-Point
In this paper we reformulate the dilaton-gravity theory of Callan \etal\ as a new effective conformal field theory which turns out to be a generalization of the so-called $SL_2$-conformal affine Toda (CAT) theory studied some times ago by Babelon and Bonora. We quantize this model, thus keeping in account the dilaton-g...
1992-10-16
2008-11-26
[ "hep-th" ]
F.Belgiorno, A.S.Cattaneo, M.Martellini and F.Fucito
hep-th/9210087
Chern-Simons Theory on the Torus
We compute explicitly the Schr\"odinger picture space of states of SU(2) Chern-Simons theory on $T^2\times R$ in the presence of temporal Wilson lines. Relation with Friedan-Shenker bundle of conformal field theory and the existence of a projective flat connection on this bundle is discussed. Talk given by the first au...
1992-10-16
2007-05-23
[ "hep-th" ]
F. Falceto, K. Gaw\c{e}dzki (IHES, France)
hep-th/9210085
A Novel Representation for the Free Energy in String Theory at Non-Zero Temperature
A novel representation ---in terms of a Laurent series--- for the free energy of string theory at non-zero temperature is constructed. The examples of open bosonic, open supersymmetric and closed bosonic strings are studied in detail. In all these cases the Laurent series representation for the free energy is obtained ...
1992-10-16
2009-09-17
[ "hep-th" ]
A.A. Bytsenko, E. Elizalde, S.D. Odintsov and S. Zerbini
hep-th/9210090
Nearby CFT's in the operator formalism: The role of a connection
There are two methods to study families of conformal theories in the operator formalism. In the first method we begin with a theory and a family of deformed theories is defined in the state space of the original theory. In the other there is a distinct state space for each theory in the family, with the collection of s...
1992-10-16
2009-10-22
[ "hep-th" ]
K.Ranganathan
hep-th/9210080
On The Hamiltonian Structures and The Reductions of The KP Hierarchy
Recent work on a free field realization of the Hamiltonian structures of the classical KP hierarchy and of its flows is reviewed. It is shown that it corresponds to a reduction of KP to the NLS system. (Talk given by D.A.D. at the NSERC-CAP Workshop on Quantum Groups, Integrable Models and Statistical Systems, Kingston...
1992-10-15
2007-05-23
[ "hep-th" ]
Didier A Depireux and Jeremy Schiff
hep-th/9210081
A note on 2D chiral gravity and chiral bosons
Quantization of two dimensional chiral matter coupled to gravity induces an effective action for the zweibein field which is both Weyl and Lorentz anomalous. Recently, the quantization of this induced action has been analyzed in the light-cone gauge as well as in the conformal gauge. An apparent mismatch between the re...
1992-10-15
2009-10-22
[ "hep-th" ]
Fiorenzo Bastianelli
hep-th/9210082
Chiral Non-Critical Strings
It is shown that conformal matter with $c_{\ssc L}\not=c_{\ssc R}$ can be consistently coupled to two-dimensional `frame' gravity. The theory is quantized in conformal gauge, following David, and Distler and Kawai. There is no analogue of the $c=1$ barrier found in nonchiral non-critical strings. A non-critical heterot...
1992-10-15
2007-05-23
[ "hep-th" ]
R.C. Myers and V. Periwal
hep-th/9210091
Even and odd symplectic and K\"ahlerian structures on projective superspaces
Supergeneralization of $\DC P(N)$ provided by even and odd K\"ahlerian structures from Hamiltonian reduction are construct.Operator $ \Delta$ which used in Batalin-- Vilkovisky quantization formalism and mechanics which are bi-Hamiltonian under corresponding even and odd Poisson brackets are considered.
1992-10-15
2008-11-26
[ "hep-th", "math.DG" ]
O. N. Khudaverdian, A. P. Nersessian
hep-th/9210079
Superstrings on Curved Spacetimes
In this lecture I summarize recent developments on strings propagating in curved spacetime. Exact conformal field theories that describe gravitational backgrounds such as black holes and more intricate gravitational singularities have been discovered and investigated at the classical and quantum level. These models are...
1992-10-15
2008-02-03
[ "hep-th" ]
Itzhak Bars
hep-th/9210083
Quasi-Periodic Solutions for matrix nonlinear Schroedinger Equations
The Adler-Kostant-Symes theorem yields isospectral hamiltonian flows on the dual $\tilde\grg^{+*}$ of a Lie subalgebra $\tilde\grg^+$ of a loop algebra $\tilde\grg$. A general approach relating the method of integration of Krichever, Novikov and Dubrovin to such flows is used to obtain finite-gap solutions of matrix No...
1992-10-15
2009-10-22
[ "hep-th" ]
M.A. Wisse
hep-th/9210073
Introduction to Random Matrices
These notes provide an introduction to the theory of random matrices. The central quantity studied is $\tau(a)= det(1-K)$ where $K$ is the integral operator with kernel $1/\pi} {\sin\pi(x-y)\over x-y} \chi_I(y)$. Here $I=\bigcup_j(a_{2j-1},a_{2j})$ and $\chi_I(y)$ is the characteristic function of the set $I$. In the G...
1992-10-14
2015-06-26
[ "hep-th", "cond-mat", "math-ph", "math.MP", "nlin.SI", "solv-int" ]
Craig A. Tracy and Harold Widom
hep-th/9210078
On The Algebraic Characterization of Aperiodic Tilings Related To ADE-Root Systems
\noindent The algebraic characterization of classes of locally isomorphic aperiodic tilings, being examples of quantum spaces, is conducted for a certain type of tilings in a manner proposed by A. Connes. These $2$-dimensional tilings are obtained by application of the strip method to the root lattice of an $ADE$-Cox...
1992-10-14
2008-02-03
[ "hep-th" ]
Johannes Kellendonk
hep-th/9210077
Isospectral flow in Loop Algebras and Quasiperiodic Solutions of the Sine-Gordon Equation
The sine-Gordon equation is considered in the hamiltonian framework provided by the Adler-Kostant-Symes theorem. The phase space, a finite dimensional coadjoint orbit in the dual space $\grg^*$ of a loop algebra $\grg$, is parametrized by a finite dimensional symplectic vector space $W$ embedded into $\grg^*$ by a mome...
1992-10-14
2009-10-22
[ "hep-th" ]
J. Harnad and M.-A. Wisse
hep-th/9210076
Gravitational Instantons in Heterotic String Theory: The H-Map and the Moduli Deformations of (4,4) Superconformal Field Theories
We study the problem of string propagation in a general instanton background for the case of the complete heterotic superstring. We define the concept of generalized HyperK\" ahler manifolds and we relate it to (4,4) superconformal theories. We propose a generalized h-map construction that predicts a universal SU(6) sy...
1992-10-14
2009-10-22
[ "hep-th" ]
M.Billo', P.Fre', L.Girardello, A.Zaffaroni
hep-th/9210074
Level-Spacing Distributions and the Airy Kernel
Scaling level-spacing distribution functions in the ``bulk of the spectrum'' in random matrix models of $N\times N$ hermitian matrices and then going to the limit $N\to\infty$, leads to the Fredholm determinant of the sine kernel $\sin\pi(x-y)/\pi (x-y)$. Similarly a double scaling limit at the ``edge of the spectrum''...
1992-10-14
2009-07-13
[ "hep-th", "cond-mat", "math-ph", "math.MP", "nlin.SI", "solv-int" ]
Craig A. Tracy and Harold Widom
hep-th/9210072
Topological versus Non--Topological Theories and $p-q$ Duality in $c \le 1$ 2d Gravity Models
We discuss the non--perturbative formulation for $c \leq 1$ string theory. The field theory like formulation of topological and non--topological models is presented. The integral representation for arbitrary $(p,q)$ solutions is derived which explicitly obeys $p-q$ duality of these theories. The exact solutions to stri...
1992-10-14
2007-05-23
[ "hep-th" ]
S.Kharchev, A.Marshakov
hep-th/9210075
On Paragrassmann Differential Calculus
Explicit general constructions of paragrassmann calculus with one and many variables are given. Relations of the paragrassmann calculus to quantum groups are outlined and possible physics applications are briefly discussed. This paper is the same as the original 9210075 except added Appendix and minor changes in Acknow...
1992-10-14
2009-10-22
[ "hep-th" ]
A.T. Filippov, A.P. Isaev and A.B. Kurdikov
hep-th/9210069
Hilbert space cocycles as representations of $(3+1)-$ D current algebras
It is proposed that instead of normal representations one should look at cocycles of group extensions valued in certain groups of unitary operators acting in a Hilbert space (e.g the Fock space of chiral fermions), when dealing with groups associated to current algebras in gauge theories in $3+1$ space-time dimensions....
1992-10-13
2010-11-01
[ "hep-th" ]
Jouko Mickelsson
hep-th/9210071
Matrix Nonlinear Schr\"odinger Equations and Moment Maps into Loop Algebras${}^\dag$
It is shown how Darboux coordinates on a reduced symplectic vector space may be used to parametrize the phase space on which the finite gap solutions of matrix nonlinear Schr\"odinger equations are realized as isospectral Hamiltonian flows. The parametrization follows from a moment map embedding of the symplectic vecto...
1992-10-13
2009-10-22
[ "hep-th" ]
J. Harnad and M.-. Wisse
hep-th/9210070
On the Quantization of Reducible Gauge Systems
Reducible gauge theories with constraints linear in the momenta are quantized. The equivalence of the reduced phase space quantization, Dirac quantization and BRST quantization is established. The ghosts of ghosts are found to play a crucial role in the equivalence proof.
1992-10-13
2014-11-18
[ "hep-th" ]
R. Ferraro, M. Henneaux and M. Puchin
hep-th/9210068
Symmetry structure of special geometries
Using techniques from supergravity and dimensional reduction, we study the full isometry algebra of K\"ahler and quaternionic manifolds with special geometry. These two varieties are related by the so-called c-map, which can be understood from dimensional reduction of supergravity theories or by changing chirality assi...
1992-10-13
2009-10-22
[ "hep-th" ]
B. de Wit, F. Vanderseypen and A. Van Proeyen
hep-th/9210067
The complete solution to the constant quantum Yang-Baxter equation in two dimensions
We describe how the complete solution to the two-dimensional constant quantum Yang-Baxter equation [J. Hietarinta, Phys. Lett. A165,245(1992)] was found. (Talk presented at the XIX International Colloquium on Group Theoretical Methods in Physics.)
1992-10-13
2009-10-22
[ "hep-th" ]
J. Hietarinta
hep-th/9210066
Generalized Integrability and two-dimensional Gravitation
We review the construction of generalized integrable hierarchies of partial differential equations, associated to affine Kac-Moody algebras, that include those considered by Drinfel'd and Sokolov. These hierarchies can be used to construct new models of 2D quantum or topological gravity, as well as new $\cal W$-algebra...
1992-10-12
2016-01-27
[ "hep-th" ]
T. Hollowood, J.L. Miramontes and J. Sanchez Guillen
hep-th/9210064
Fractional Superstrings with Critical Spacetime Dimensions Four and Six: A Status Report
Fractional superstrings are non-trivial generalizations of ordinary superstrings and heterotic strings, and have critical spacetime dimensions which are less than ten by virtue of a worldsheet fractional supersymmetry relating worldsheet bosons to worldsheet parafermions. In this paper, I provide a short non-technical ...
1992-10-12
2007-05-23
[ "hep-th" ]
Keith R. Dienes (McGill Univ.)
hep-th/9210063
Yang-Baxter Equation for $A^{(1)}_{n-1}$ Broken ${\Bf Z}_N $ Models
We construct a factorized representation of the $\frak g \frak l _n$-Sklyanin algebra from the vertex-face correspondence. Using this representation, we obtain a new solvable model which gives an $\frak s \frak l _n$-generalization of the broken $\bz _N $ model. We further prove the Yang-Baxter equation for this model.
1992-10-12
2009-10-22
[ "hep-th" ]
Yas-hiro Quano and Akira Fujii
hep-th/9210065
Some Computations in Background Independent Open-String Field Theory
Recently, background independent open-string field theory has been formally defined in the space of all two-dimensional world-sheet theories. In this paper, to make the construction more concrete, I compute the action for an off-shell tachyon field of a certain simple type. From the computation it emerges that, althoug...
1992-10-12
2010-04-07
[ "hep-th" ]
Edward Witten
hep-th/9210062
Critical String Vacua from Noncritical Manifolds: A Novel Framework for String Compactification
A new framework is found for the compactification of supersymmetric string theory. It is shown that the massless spectra of Calabi--Yau manifolds of complex dimension $D_{crit}$ can be derived from noncritical manifolds of complex dimension $2k + D_{crit}$, $k\geq 1$. These higher dimensional manifolds are spaces whose...
1992-10-12
2010-11-01
[ "hep-th" ]
Rolf Schimmrigk
hep-th/9210061
Symmetries of P-Branes
Using canonical methods, we study the invariance properties of a bosonic $p$--brane propagating in a curved background locally diffeomorphic to $M\times G$, where $M$ is spacetime and $G$ a group manifold. The action is that of a gauged sigma model in $p+1$ dimensions coupled to a Yang--Mills field and a $(p+1)$--form ...
1992-10-11
2015-06-26
[ "hep-th" ]
R. Percacci and E. Sezgin
hep-th/9210058
Boussinesq-type equations from nonlinear realizations of $W_3$
We construct new coset realizations of infinite-dimensional linear $W_3^{\infty}$ symmetry associated with Zamolodchikov's $W_3$ algebra which are different from the previously explored $sl_3$ Toda realization of $W_3^{\infty}$. We deduce the Boussinesq and modified Boussinesq equations as constraints on the geometry o...
1992-10-10
2015-06-26
[ "hep-th" ]
E. Ivanov, S. Krivonos and R.P. Malik
hep-th/9210059
N=3 Supersymmetric Extension of KdV Equation
We construct a one-parameter family of N=3 supersymmetric extensions of the KdV equation as a Hamiltonian flow on N=3 superconformal algebra and argue that it is non-integrable for any choice of the parameter. Then we propose a modified N=3 super KdV equation which possesses the higher order conserved quantities and so...
1992-10-10
2007-05-23
[ "hep-th" ]
S.Bellucci, E.Ivanov and S.Krivonos
hep-th/9210060
Supersymmetry and the Nonlocal Yangian Deformation Symmetry
In the quantized two-dimensional non-linear supersymmetric $\sigma$-model, the supercurrent supermultiplet, which contains the energy-momentum tensor, is transformed by the nonlocal symmetry of the model into the isospin current supermultiplet. This effect incorporates supersymmetry into the known infinite-dimensional ...
1992-10-10
2009-10-02
[ "hep-th" ]
T. Curtright and C. Zachos
hep-th/9210050
Black Holes and Solitons in String Theory
In this review, I discuss a general method for constructing classical solutions of the equations of motion arising in the effective low energy string theory, and discuss specific applications of this method. (Based on talks given at the Johns Hopkins Workshop held at Goteborg, June 8-10, 1992, and ICTP Summer Workshop ...
1992-10-09
2007-05-23
[ "hep-th", "gr-qc" ]
Ashoke Sen
hep-th/9210056
Simple Approach to Thermal Bethe Ansatz
We report on a new approach to the calculation of thermodynamic functions for crossing-invariant models solvable by Bethe Ansatz. In the case of the XXZ Heisenberg chain we derive, for arbitrary values of the anysotropy, a single non-linear integral equation from which the free energy can be exactly calculated.These eq...
1992-10-09
2007-05-23
[ "hep-th" ]
H.J. de Vega
hep-th/9210048
Rotation Symmetry and Nonabelian Berry Potential
We study the role of rotational symmetry in the systems where nonabelian Berry potentials emerge as a result of integrating out fast degrees of freedom. The conserved angular momentum is constructed in the presence of a non-abelian Berry potential, which is formulated using Grassmann variables. The modifications on con...
1992-10-09
2007-05-23
[ "hep-th", "hep-ph", "nucl-th" ]
Hyun Kyu Lee and Mannque Rho
hep-th/9210049
Heterotic Parafermionic Superstring
Superstrings have been postulated based on parafermionic partition functions which permit spacetime supersymmetry by generalized Jacobi identities. A comprehensive search finds new such identities. Quadrilateral anomaly cancellation gives constraints on allowed chiral fermions. Bosonic left-movers and $Z_4$ parafermion...
1992-10-09
2009-10-22
[ "hep-th" ]
Paul H. Frampton and James T. Liu
hep-th/9210055
Time-dependent perturbations in two-dimensional String Black Holes
We discuss time-dependent perturbations (induced by matter fields) of a black-hole background in tree-level two-dimensional string theory. We analyse the linearized case and show the possibility of having black-hole solutions with time-dependent horizons. The latter exist only in the presence of time-dependent `tachyon...
1992-10-09
2009-10-22
[ "hep-th" ]
G. A. Diamandis, B. C. Georgalas, X. Maintas and N.E. Mavromatos
hep-th/9210057
Peculiarity of String Theory on Orbifolds in the Presence of an Antisymmetric Background Field
We study string theory on orbifolds in the presence of an antisymmetric constant background field and discuss some of new aspects of the theory. It is shown that the term with the antisymmetric field has a topological nature like a Chern-Simons term or a Wess-Zumino term. Due to this property, the theory exhibits vario...
1992-10-09
2007-05-23
[ "hep-th" ]
Makoto Sakamoto
hep-th/9210053
On the Landau-Ginzburg description of $(A_1^{(1)})^{\oplus N}$ invariants
We search for a \Lg\ interpretation of non-diagonal modular invariants of tensor products of minimal $n=2$ superconformal models, looking in particular at automorphism invariants and at some exceptional cases. For the former we find a simple description as \lgo s, which reproduce the correct chiral rings as well as the...
1992-10-09
2015-06-26
[ "hep-th" ]
J\"urgen Fuchs and Maximilian Kreuzer
hep-th/9210051
Remarks on deformed and undeformed Knizhnik-Zamolodchikov equations
Deformed and undeformed KZ equations are considered for $k=0$. It is shown that they allow the same number of solutions, one being the asymptotics of others. Essential difference in analitical properties of the solutions is explained.
1992-10-09
2008-02-03
[ "hep-th" ]
Fedor A. Smirnov
hep-th/9210054
Localization of Massless Spinning Particles and the Berry Phase
The components of the position operator, at a fixed time, for a massless and spinning particle with given helicity $\lambda$ described in terms of bosonic degrees of freedom have an anomalous commutator proportional to $\lambda$. The position operator generates translations in momentum space. We show that a ray-represe...
1992-10-09
2007-05-23
[ "hep-th" ]
Bo-Sture K Skagerstam
hep-th/9210052
Form Factors, deformed Knizhnik-Zamolodchikov equations and finite-gap integration
We study the limit of asymptotically free massive integrable models in which the algebra of nonlocal charges turns into affine algebra. The form factors of fields in that limit are described by KZ equations on level 0. We show the limit to be connected with finite-gap integration of classical integrable equations.
1992-10-09
2009-10-22
[ "hep-th" ]
Fedor A. Smirnov
hep-th/9210047
String Theory: Lessons for Low Energy Physics
This talk considers possible lessons of string theory for low energy physics. These are of two types. First, assuming that string theory is the correct underlying theory of all interactions, we ask whether there are any generic predictions the theory makes, and we compare the predictions of string theory with those of ...
1992-10-08
2009-10-22
[ "hep-th", "hep-ph" ]
Michael Dine
hep-th/9210037
Generalized Drinfeld-Sokolov Reductions and KdV Type Hierarchies
Generalized Drinfeld-Sokolov (DS) hierarchies are constructed through local reductions of Hamiltonian flows generated by monodromy invariants on the dual of a loop algebra. Following earlier work of De Groot et al, reductions based upon graded regular elements of arbitrary Heisenberg subalgebras are considered. We show...
1992-10-08
2023-08-02
[ "hep-th", "math.QA" ]
L. Feher, John Harnad, I. Marshall
hep-th/9210042
The Braided Heisenberg Group
We compute the braided groups and braided matrices $B(R)$ for the solution $R$ of the Yang-Baxter equation associated to the quantum Heisenberg group. We also show that a particular extension of the quantum Heisenberg group is dual to the Heisenberg universal enveloping algebra $U_{q}(h)$, and use this result to derive...
1992-10-08
2009-10-22
[ "hep-th" ]
W.K.Baskerville and S.Majid
hep-th/9210045
Strings and QCD?
Is large-$N$ QCD equivalent to a string theory? Maybe, maybe not. I review various attempts to answer the question.
1992-10-08
2007-05-23
[ "hep-th" ]
Joseph Polchinski
hep-th/9210044
The Quantum Double as Quantum Mechanics
We introduce $*$-structures on braided groups and braided matrices. Using this, we show that the quantum double $D(U_q(su_2))$ can be viewed as the quantum algebra of observables of a quantum particle moving on a hyperboloid in q-Minkowski space (a three-sphere in the Lorentz metric), and with the role of angular momen...
1992-10-08
2008-02-03
[ "hep-th", "math.QA" ]
Shahn Majid
hep-th/9210040
Fusion Algebras Induced by Representations of the Modular Group
Using the representation theory of the subgroups SL_2(Z_p) of the modular group we investigate the induced fusion algebras in some simple examples. Only some of these representations lead to 'good' fusion algebras. Furthermore, the conformal dimensions and the central charge of the corresponding rational conformal fiel...
1992-10-08
2016-09-06
[ "hep-th" ]
W. Eholzer
hep-th/9210041
Physical States in Topological Coset Models
Recent results about topological coset models are summarized. The action of a topological ${G\over H}$ coset model ($rank\ H = rank\ G$) is written down as a sum of ``decoupled" matter, gauge and ghost sectors. The physical states are in the cohomology of a BRST-like operator that relates these secotrs. The cohomolog...
1992-10-08
2007-05-23
[ "hep-th" ]
J. Sonnenschein
hep-th/9210043
Finite $W$ symmetry in finite dimensional integrable systems
By generalizing the Drinfeld-Sokolov reduction a large class of $W$ algebras can be constructed. We introduce 'finite' versions of these algebras by Poisson reducing Kirillov Poisson structures on simple Lie algebras. A closed and coordinate free formula for the reduced Poisson structure is given. These finitely genera...
1992-10-08
2007-05-23
[ "hep-th" ]
T. Tjin
hep-th/9210046
Effective Field Theory and the Fermi Surface
This is an introduction to the method of effective field theory. As an application, I derive the effective field theory of low energy excitations in a conductor, the Landau theory of Fermi liquids, and explain why the high-$T_c$ superconductors must be described by a different effective field theory.
1992-10-08
2008-02-03
[ "hep-th", "cond-mat", "hep-lat", "hep-ph" ]
Joseph Polchinski
hep-th/9210038
A new insight into BRST anomalies in string theory
Using the generalized hamiltonian method of Batalin, Fradkin and Vilkovisky, we investigate the algebraic structure of anomalies in the Polyakov string theory that appear as the Schwinger terms in super-commutation relations between BRST charge and total hamiltonian. We obtain the most general form of the anomalies in ...
1992-10-08
2009-10-22
[ "hep-th" ]
T. Fujiwara, Y. Igarashi, J. Kubo, K. Maeda
hep-th/9210033
The weaving of curved geometries
In the physical interpretation of states in non-perturbative loop quantum gravity the so-called weave states play an important role. Until now only weaves representing flat geometries have been introduced explicitly. In this paper the construction of weaves for non-flat geometries is described; in particular, weaves re...
1992-10-07
2009-10-22
[ "hep-th" ]
Joost Zegwaard
hep-th/9210039
The universal R-matrix and its associated quantum algebra as functionals of the classical r-matrix: the $sl_{2}$ case
Using a geometrical approach to the quantum Yang-Baxter equation, the quantum algebra ${\cal U}_{\hbar}(sl_{2})$ and its universal quantum $R$-matrix are explicitely constructed as functionals of the associated classical $r$-matrix. In this framework, the quantum algebra ${\cal U}_{\hbar}(sl_{2})$ is naturally imbedded...
1992-10-07
2009-10-22
[ "hep-th", "math.QA" ]
Laurent Freidel and J. M. Maillet
hep-th/9210036
Geometric Gravitational Forces on Particles Moving in a Line
In two-dimensional space-time, point particles can experience a geometric, dimension-specific gravity force, which modifies the usual geodesic equation of motion and provides a link between the cosmological constant and the vacuum $\theta$-angle. The description of such forces fits naturally into a gauge theory of grav...
1992-10-07
2009-10-22
[ "hep-th", "gr-qc" ]
Daniel Cangemi and Roman Jackiw
hep-th/9210032
q-deformed lattice gauge theory and 3-manifold invariants
The notion of $q$-deformed lattice gauge theory is introduced. If the deformation parameter is a root of unity, the weak coupling limit of a 3-$d$ partition function gives a topological invariant for a corresponding 3-manifold. It enables us to define the generalized Turaev-Viro invariant for cell complexes. It is show...
1992-10-07
2015-06-26
[ "hep-th" ]
D.V. Boulatov
hep-th/9210035
Influence Functionals and the Accelerating Detector
The influence functional is derived for a massive scalar field in the ground state, coupled to a uniformly accelerating DeWitt monopole detector in $D+1$ dimensional Minkowski space. This confirms the local nature of the Unruh effect, and provides an exact solution to the problem of the accelerating detector without in...
1992-10-07
2009-10-22
[ "hep-th", "gr-qc" ]
J.R. Anglin
hep-th/9210034
Thermal Equilibrium from the Hu-Paz-Zhang Master Equation
The exact master equation for a harmonic oscillator coupled to a heat bath, derived recently by Hu, Paz and Zhang, is simplified by taking the weak-coupling, late-time limit. The unique time-independent solution to this simplified master equation is the canonical ensemble at the temperature of the bath. The frequency o...
1992-10-07
2007-05-23
[ "hep-th", "gr-qc" ]
J.R. Anglin
hep-th/9210027
On the definition of Quantum Free Particle on Curved Manifolds
A selfconsistent definition of quantum free particle on a generic curved manifold emerges naturally by restricting the dynamics to submanifolds of co-dimension one. PACS 0365 0240
1992-10-06
2008-11-26
[ "hep-th" ]
C. Destri, P. Maraner and E. Onofri
hep-th/9210026
Faddeev-Popov method for anomalous quasigroups
A generalization of the Faddeev-Popov procedure to deal with either anomalous and non-anomalous gauge theories with closed, irreducible gauge algebra is presented. An expression for the Wess-Zumino action is obtained.
1992-10-06
2016-08-14
[ "hep-th" ]
Jordi Par\'is
hep-th/9210028
Schwinger-Dyson equation in three-dimensional simplicial quantum gravity
We study the simplicial quantum gravity in three dimensions. Motivated by the Boulatov's model which generates a sum over simplicial complexes weighted with the Turaev-Viro invariant, we introduce boundary operators in the simplicial gravity associated to compact orientable surfaces. An amplitude of the boundary operat...
1992-10-06
2009-09-17
[ "hep-th" ]
Hirosi Ooguri
hep-th/9210030
Twisted Sector Yukawa Couplings for the $Z_3\times Z_3$ Orbifold
The moduli dependent Yukawa couplings between twisted sectors of the $Z_3\times Z_3$ orbifold are studied.
1992-10-06
2015-06-26
[ "hep-th" ]
D. Bailin, A. Love and W.A. Sabra
hep-th/9210031
Charged String-like Solutions of Low-energy Heterotic String Theory
Two string-like solutions to the equations of motion of the low-energy effective action for the heterotic string are found, each a source of electric and magnetic fields. The first carries an electric current equal to the electric charge per unit length and is the most general solution which preserves one half of the s...
1992-10-06
2009-10-22
[ "hep-th" ]
Daniel Waldram
hep-th/9210029
The Nonlinear Schrodinger Equation and Conserved Quantities in the Deformed Parafermion and SL(2,R)/U(1) Coset Models
The relationship between the nonlinear Schrodinger hierarchy and the parafermion and SL(2,R)/U(1) coset models, analogous to the relationship between the KdV hierarchy and the minimal models, is explained. To do this I first present an in depth study of a series of integrable hierarchies related to NLS, and write down ...
1992-10-06
2007-05-23
[ "hep-th" ]
Jeremy Schiff
hep-th/9210022
Comment on Gauge-Independent Analysis of Chern-Simons Theory with Matter Coupling
It is shown that a recently proposed relativistic field theory of anyons is mathematically flawed and also does not satisfy reasonable criteria for such a theory.
1992-10-05
2009-10-22
[ "hep-th" ]
C. R. Hagen
hep-th/9210023
Infinite Braided Tensor Products and 2-D quantum Gravity
Braided tensor products have been introduced by the author as a systematic way of making two quantum-group-covariant systems interact in a covariant way, and used in the theory of braided groups. Here we study infinite braided tensor products of the quantum plane (or other constant Zamolodchikov algebra). It turns out ...
1992-10-05
2007-05-23
[ "hep-th" ]
S. Majid
hep-th/9210024
Quantum Group Gauge Theory on Classical Spaces
We study the quantum group gauge theory developed elsewhere in the limit when the base space (spacetime) is a classical space rather than a general quantum space. We show that this limit of the theory for gauge quantum group $U_q(g)$ is isomorphic to usual gauge theory with Lie algebra $g$. Thus a new kind of gauge the...
1992-10-05
2011-07-19
[ "hep-th" ]
T. Brzezinski and S. Majid
hep-th/9210020
On the Linearized Artin Braid Representation
We linearize the Artin representation of the braid group given by (right) automorphisms of a free group providing a linear faithful representation of the braid group. This result is generalized to obtain linear representations for the coloured braid groupoid and pure braid group too. Applications to some areas of two-d...
1992-10-05
2008-02-03
[ "hep-th", "math.GR", "math.QA" ]
F. Constantinescu, F. Toppan
hep-th/9210021
Duality Symmetries from Non--Abelian Isometries in String Theories
In string theory it is known that abelian isometries in the sigma model lead to target space duality. We generalize this duality to backgrounds with non--abelian isometries. The procedure we follow consists of gauging the isometries of the original action and constraining the field strength $F$ to vanish. This new acti...
1992-10-05
2009-10-22
[ "hep-th", "gr-qc" ]
Xenia C. de la Ossa and Fernando Quevedo
hep-th/9210025
Rogers dilogarithm in integrable systems
We dicuss some curious aspects of the Rogers dilogarithm and the functional relations in integrable systems in two dimensions. This is for the proceedings of the XX1 Differential Geometry Methods in Theoretical Physics, Tianjin, China, 5-9 June 1992.
1992-10-05
2011-01-28
[ "hep-th" ]
A. Kuniba and T. Nakanishi
hep-th/9210019
On the quantisation of SU(2) magnetic monopole dynamics
We argue that there is no consistent quantisation of the two BPS SU(2) magnetic monopole dynamical system compatible with the correspondence principle.
1992-10-04
2007-05-23
[ "hep-th" ]
M. Temple-Raston
hep-th/9210018
The Cosmological Kibble Mechanism in the Laboratory: String Formation in Liquid Crystals
I report on the observation of the production of strings (disclination lines and loops) via the Kibble mechanism of domain (bubble) formation in the isotropic to nematic phase transition of a sample of uniaxial nematic liquid crystal. The probablity of string formation per bubble is measured to be $0.33 \pm 0.01$. This...
1992-10-03
2008-02-03
[ "hep-th" ]
Mark Bowick
hep-th/9210013
Vacuum energy on orbifold factors of spheres
The vacuum energy is calculated for a free, conformally-coupled scalar field on the orbifold space-time \R$\times \S^2/\Gamma$ where $\Gamma$ is a finite subgroup of O(3) acting with fixed points. The energy vanishes when $\Gamma$ is composed of pure rotations but not otherwise. It is shown on general grounds that the ...
1992-10-02
2010-11-01
[ "hep-th" ]
Peter Chang and J.S.Dowker
hep-th/9210016
Finite Temperature Strings
These are lecture notes for the 1992 Erice Workshop on String Quantum Gravity and Physics at the Planck Energy Scale. In this talk a review of earlier work on finite temperature strings was presented. Several topics were covered, including the canonical and microcanonical ensemble of strings, the behavior of strings ne...
1992-10-02
2007-05-23
[ "hep-th" ]
Mark J. Bowick
hep-th/9210015
Dilaton shift under duality and torsion of elliptic complex
We observe that the ratio of determinants of $2d$ Laplacians which appear in the duality transformation relating two sigma models with abelian isometries can be represented as a torsion of an elliptic (DeRham) complex. As a result, this ratio can be computed exactly and is given by the exponential of a local functional...
1992-10-02
2009-09-17
[ "hep-th" ]
A.S. Schwarz and A.A. Tseytlin
hep-th/9210014
Two--poles R-matrices
We study integrable dynamical systems described by a Lax pair involving a spectral parameter. By solving the classical Yang-Baxter equation when the R-matrix has two poles we show that they can be interpreted as natural motions on a twisted loop algebra.
1992-10-02
2007-05-23
[ "hep-th" ]
M. Talon
hep-th/9210017
Supersymmetry and Positive Energy in Classical and Quantum Two-Dimensional Dilaton Gravity
An $N = 1$ supersymmetric version of two dimensional dilaton gravity coupled to matter is considered. It is shown that the linear dilaton vacuum spontaneously breaks half the supersymmetries, leaving broken a linear combination of left and right supersymmetries which squares to time translations. Supersymmetry suggests...
1992-10-02
2008-11-26
[ "hep-th" ]
Youngchul Park and Andrew Strominger
hep-th/9210012
Black Holes Coupled to a Massive Dilaton
We investigate charged black holes coupled to a massive dilaton. It is shown that black holes which are large compared to the Compton wavelength of the dilaton resemble the Reissner-Nordstr\"om solution, while those which are smaller than this scale resemble the massless dilaton solutions. Black holes of order the Comp...
1992-10-02
2009-10-22
[ "hep-th", "gr-qc" ]
J. Horne and G. Horowitz
hep-th/9210007
Virasoro Representations on Fusion Graphs
For any non-unitary model with central charge c(2,q) the path spaces associated to a certain fusion graph are isomorphic to the irreducible Virasoro highest weight modules.
1992-10-01
2009-10-22
[ "hep-th" ]
J. Kellendonk and A. Recknagel
hep-th/9210011
Gauge Theories on a Cylinder
(a few typos and an error corrected)
1992-10-01
2009-10-22
[ "hep-th" ]
E. Langmann and G. Semenoff
hep-th/9210001
String Theory at Short Distance and the Principle of Equivalence
Point particles fall freely along geodesics; strings do not. In string theory all probes of spacetime structure, including photons, are extended objects and therefore always subject to tidal forces. We illustrate how string theory modifies the behavior of light in weak gravitational fields and limits the applicability ...
1992-10-01
2007-05-23
[ "hep-th", "astro-ph", "gr-qc" ]
Paul F. Mende
hep-th/9210006
Stability of Vacua and Domain Walls in Supergravity and Superstring Theory
We address the possibility of false vacuum decay in $N=1$ supergravity theories, including those corresponding to superstring vacua. By establishing a Bogomol'nyi bound for the energy density stored in the domain wall of the $O(4)$ invariant bubble, we show that supersymmetric vacua remain absolutely stable against fal...
1992-10-01
2009-10-22
[ "hep-th", "gr-qc" ]
Mirjam Cvetic
hep-th/9210004
W Algebras, W Gravities and their Moduli Spaces
By generalizing the Drinfel'd--Sokolov reduction we construct a large class of W algebras as reductions of Kac--Moody algebras. Furthermore we construct actions, invariant under local left and right W transformations, which are the classical covariant induced actions for W gravity. Talk presented by T. Tjin at the Trie...
1992-10-01
2007-05-23
[ "hep-th" ]
F. A. Bais, T. Tjin, P. van Driel, J. de Boer and J. Goeree