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hep-th/9203055
Interacting Euclidean 3D Quantum Gravity
We show that Euclidean 3D-gravity coupled to a Gaussian scalar massive matter field in first-order dreibein formalism gives a quantum theory which has a finite perturbative expansion around a non-vanishing background. We also discuss a possible mechanism to generate a non-trivial background metric starting from Rovelli...
1992-03-20
2014-11-18
[ "hep-th" ]
G.Bonacina, A.Gamba and M.Martellini
hep-th/9203054
Hawking Radiation and Back-Reaction
The puzzles of black hole evaporation can be studied in the simplified context of 1+1 dimensional gravity. The semi-classical equations of Callan, Giddings, Harvey and Strominger provide a consistent description of the evaporation process which we describe in detail. We consider the possibility that black hole evolutio...
1992-03-20
2008-11-26
[ "hep-th" ]
L. Susskind and L. Thorlacius
hep-th/9203056
Gauge Invariant Formulations of Lineal Gravity
It is shown that the currently studied ``string-inspired'' model for gravity on a line can be formulated as a gauge invariant theory based on the Poincar\'e group with central extension -- a formulation that complements and simplifies H.~Verlinde's construction based on the unextended Poincar\'e group.
1992-03-20
2009-10-22
[ "hep-th" ]
Daniel Cangemi and Roman Jackiw
hep-th/9203053
Combinatorial and topological phase structure of non-perturbative n-dimensional quantum gravity
We provide a non-perturbative geometrical characterization of the partition function of $n$-dimensional quantum gravity based on a coarse classification of riemannian geometries. We show that, under natural geometrical constraints, the theory admits a continuum limit with a non-trivial phase structure parametrized by t...
1992-03-19
2014-11-18
[ "hep-th" ]
M.Carfora, M.Martellini and A.Marzuoli
hep-th/9203052
Evaporation of Two Dimensional Black Holes
Callan, Giddings, Harvey and Strominger have proposed an interesting two dimensional model theory that allows one to consider black hole evaporation in the semi-classical approximation. They originally hoped the black hole would evaporate completely without a singularity. However, it has been shown that the semi-classi...
1992-03-18
2010-11-01
[ "hep-th" ]
S. W. Hawking
hep-th/9203051
A twistor-like D=10 superparticle action with manifest N=8 world-line supersymmetry
We propose a new formulation of the $D=10$ Brink-Schwarz superparticle which is manifestly invariant under both the target-space super-Poincar\'e group and the world-line local $N=8$ superconformal group. This twistor-like construction naturally involves the sphere $S^8$ as a coset space of the $D=10$ Lorentz group. Th...
1992-03-18
2009-10-22
[ "hep-th" ]
A.Galperin and E.Sokatchev
hep-th/9203043
Generalized Kontsevich Model Versus Toda Hierarchy and Discrete Matrix Models
We represent the partition function of the Generalized Kontsevich Model (GKM) in the form of a Toda lattice $\tau$-function and discuss various implications of non-vanishing "negative"- and "zero"-time variables: the appear to modify the original GKM action by negative-power and logarithmic contributions respectively. ...
1992-03-18
2009-10-22
[ "hep-th" ]
S.Kharchev, A.Marshakov, A.Mironov, A.Morozov
hep-th/9203044
$c = r_g$ Theories of $W_G$-Gravity: The Set of Observables as a Model of Simply Laced $G$
We propose to study a generalization of the Klebanov-Polyakov-Witten (KPW) construction for the algebra of observables in the $c = 1$ string model to theories with $c > 1$. We emphasize the algebraic meaning of the KPW construction for $c = 1$ related to occurrence of a {\it model} of {\it SU}(2) as original structure ...
1992-03-18
2009-10-22
[ "hep-th" ]
A.Marshakov, A.Mironov, A.Morozov, M.Olshanetsky
hep-th/9203050
The Causal Structure of Two-Dimensional Spacetimes
We investigate the causal structure of $(1+1)$-dimensional spacetimes. For two sets of field equations we show that at least locally any spacetime is a solution for an appropriate choice of the matter fields. For the theories under consideration we investigate how smoothness of their black hole solutions affects time o...
1992-03-18
2010-04-06
[ "hep-th" ]
Dan Christensen and Robert B. Mann
hep-th/9203049
Path-Integral Measure of Linearized Gravity in Curved Spacetime
The path-integral measure of linearized gravity around a saddle-point background with the cosmological term is considered in order to study the conformal rotation prescription proposed by Gibbons, Hawking and Perry. It is also argued that the most generally used measure, i.e., the covariant path-integral measure, does ...
1992-03-18
2008-02-03
[ "hep-th" ]
Hiroki Fukutaka
hep-th/9203045
Results of the classification of superconformal algebras in two dimensions
A list of superconformal chiral operator product expansion algebras with quadratic nonlinearity in two dimensions is completed on the basis of the known classification of little conformal Lie superalgebras. In addition to the previously known cases and the constructed in our previous paper exceptional $N=8$ superalgebr...
1992-03-18
2009-10-22
[ "hep-th" ]
E.S. Fradkin and V.Ya Linetsky
hep-th/9203048
Quantum Galilei Group as Symmetry of Magnons
Inhomogeneous quantum groups are shown to be an effective algebraic tool in the study of integrable systems and to provide solutions equivalent to the Bethe ansatz. The method is illustrated on the 1D Heisenberg ferromagnet whose symmetry is shown to be the quantum Galilei group Gamma_q(1) here introduced. Both the sin...
1992-03-18
2009-10-22
[ "hep-th" ]
F.Bonechi, E.Celeghini, R.Giachetti, E.Sorace and M.Tarlini
hep-th/9203042
Quantum Black Holes
Static solutions of large-$N$ quantum dilaton gravity in $1+1$ dimensions are analyzed and found to exhibit some unusual behavior. As expected from previous work, infinite-mass solutions are found describing a black hole in equilibrium with a bath of Hawking radiation. Surprisingly, the finite mass solutions are found ...
1992-03-18
2009-09-17
[ "hep-th" ]
B. Birnir, S.B. Giddings, J.A. Harvey, and A. Strominger
hep-th/9203040
How the Jones Polynomial Gives Rise to Physical States of Quantum General Relativity
Solutions to both the diffeomorphism and the hamiltonian constraint of quantum gravity have been found in the loop representation, which is based on Ashtekar's new variables. While the diffeomorphism constraint is easily solved by considering loop functionals which are knot invariants, there remains the puzzle why seve...
1992-03-17
2008-11-26
[ "hep-th" ]
Bernd Bruegmann, Rodolfo Gambini, Jorge Pullin
hep-th/9203046
Quantum symmetries in discrete gauge theories
We analyse the fusion, braiding and scattering properties of discrete non-abelian anyons. These occur in (2+1)-dimensional theories where a gauge group G is spontaneously broken down to some discrete subgroup H. We identify the quantumnumbers of the electrically and magnetically charged sectors of the remaining discret...
1992-03-17
2009-10-22
[ "hep-th" ]
F.Alexander Bais, Peter van Driel and Mark de Wild Propitius
hep-th/9203047
Anyons in discrete gauge theories with Chern-Simons terms
We study the effect of a Chern-Simons term in a theory with discrete gauge group H, which in (2+1)-dimensional space time describes (non-abelian) anyons. As in a previous paper, we emphasize the underlying algebraic structure, namely the Hopf algebra D(H). We argue on physical grounds that the addition of a Chern-Simon...
1992-03-17
2015-06-26
[ "hep-th" ]
F.Alexander Bais, Peter van Driel and Mark de Wild Propitius
hep-th/9203039
Black Holes from Non-Abelian Toda Theories
NON-ABELIAN TODA THEORIES are shown to provide EXACTLY SOLVABLE conformal systems in the presence of a BLACK HOLE which may be regarded as describing a string propagating in target space with a black-hole metric. These theories are associated with non-canonical $\bf Z$-gradations of simple algebras, where the gradation...
1992-03-17
2009-10-22
[ "hep-th" ]
Jean-Loup Gervais and Mikhail V. Saveliev
hep-th/9203041
Extremal variety as the foundation of a cosmological quantum theory
Dynamical systems of a new kind are described, which are motivated by the problem of constructing diffeomorphism invariant quantum theories. These are based on the extremization of a non-local and non-additive quantity that we call the variety of a system. In these systems all dynaqmical variables refer to relative coo...
1992-03-17
2007-05-23
[ "hep-th" ]
Julian Barbour and Lee Smolin
hep-th/9203038
Nonlocal regularisation and two-dimensional induced actions
We present an invariant regularisation scheme to compute two dimensional induced gauge theory actions, that is local in Polyakov's variables, but nonlocal in the original gauge potentials. Our method sheds light on the locality of this induced action, and leads to a straightforward proof that the $\varepsilon$-anomaly ...
1992-03-14
2009-10-22
[ "hep-th" ]
F. De Jonghe, R. Siebelink and W. Troost
hep-th/9203036
On the quantization of the N=2 supersymmetric non linear sigma model
A method for quantizing the bidimensional N=2 supersymmetric non-linear sigma model is developed. This method is both covariant under coordinate transformations (concerning the order relevant for calculations) and explicitly N=2 supersymmetric. The OPE of the supercurrent is computed accordingly, including also the dil...
1992-03-13
2015-06-26
[ "hep-th" ]
G.Aldazabal, J.M.Maldacena
hep-th/9203037
R-matrices for the semicyclic representations of U_q sl^(2)
R-matrices for the semicyclic representations of U_qsl^(2) are found as a limit in the checkerboard chiral Potts model.
1992-03-13
2009-10-22
[ "hep-th", "math.QA", "nlin.SI", "solv-int" ]
I. T. Ivanov and D. B. Uglov (SUNY Stony Brook)
hep-th/9203035
New Integrable Deformations of Higher Spin Heisenberg-Ising Chains
We show that the anisotropic Heisenberg-Ising chains with higher spin allow, for special values of the anisotropy, integrable deformations intimately related to the theory of quantum groups at roots of unity. For the spin one case we construct and study the symmetries of the hamiltonian which depends on a spectral vari...
1992-03-12
2009-10-22
[ "hep-th" ]
C. Gomez, G. Sierra
hep-th/9203033
Cosmological solutions with dilaton and maximally symmetric space in string theory
We discuss time - dependent solutions of the leading order string effective equations for a non-zero central charge deficit and curved maximally symmetric space. Some regular solutions are found for the case of non-trivial antisymmetric tensor and vector backgrounds (in various dimensions) and negative spatial curvatur...
1992-03-12
2009-09-17
[ "hep-th" ]
A.A. Tseytlin
hep-th/9203034
Volume-preserving diffeomorphisms in integrable deformations of selfdual gravity
A group of volume-preserving diffeomorphisms in 3D turns out to play a key role in an Einstein-Maxwell theory whose Weyl tensor is selfdual and whose Maxwell tensor has algebraically general anti-selfdual part. This model was first introduced by Flaherty and recently studied by Park as an integrable deformation of self...
1992-03-12
2009-10-22
[ "hep-th" ]
Kanehisa Takasaki
hep-th/9203031
Two Dimensional Stringy Black Holes with One Asymptotically Flat Domain
The exact black hole solution of 2D closed string theory has, as any other maximally extended Schwarzschild-like geometry, two asymptotically flat spacetime domains. One can get rid of the second domain by gauging the discrete symmetry on the SL(2,R)/U(1) coset that interchanges the two asymptotic domains and preserves...
1992-03-11
2009-10-22
[ "hep-th" ]
Petr Horava
hep-th/9203032
Relating Scattering Amplitudes in Bosonic and Topological String Theories
A formal relationship between scattering amplitudes in critical bosonic string theory and correlation functions of operators in topological string theory is found.
1992-03-11
2016-09-06
[ "hep-th" ]
Roger Brooks
hep-th/9203026
The Mathai-Quillen Formalism and Topological Field Theory
These lecture notes give an introductory account of an approach to cohomological field theory due to Atiyah and Jeffrey which is based on the construction of Gaussian shaped Thom forms by Mathai and Quillen. Topics covered are: an explanation of the Mathai-Quillen formalism for finite dimensional vector bundles; the de...
1992-03-10
2009-10-22
[ "hep-th", "math.QA" ]
M. Blau
hep-th/9203028
A note on the Zakharov-Shabat topological model
In this note I discuss some features of the topological theory obtained from the Zakharov-Shabat (or general sl(2,C)) hierarchy, and comment on some possible physical and/or mathematical interpretations of it.
1992-03-10
2015-06-26
[ "hep-th" ]
Andrea Pasquinucci
hep-th/9203029
Canonical Quantization of $(2+1)$ Dimensional Qed with Topological Mass Term
We discuss the canonical quantization of Quantum Electrodynamics in $2+1$ dimensions, with a Chern-Simons topological mass term and gauge-covariant coupling to a Dirac spinor field. A gauge-fixing term is used which generates a canonical momentum for $A_0$, so that there are no primary constraints on operator-valued fi...
1992-03-10
2009-10-22
[ "hep-th" ]
Kurt Haller and Edwin Lombridas
hep-th/9203027
Altering the Symmetry of Wavefunctions in Quantum Algebras and Supersymmetry
The statistics-altering operators present in the limit $q=-1$ of multiparticle SU_q(2)-invariant subspaces parallel the action of such operators which naturally occur in supersymmetric theories. We illustrate this heuristically by comparison to a toy $N=2$ superymmetry algebra, and ask whether there is a supersymmetry ...
1992-03-10
2009-10-02
[ "hep-th" ]
C.K. Zachos
hep-th/9203030
Multicritical Phases of the O(n) Model on a Random Lattice
We exhibit the multicritical phase structure of the loop gas model on a random surface. The dense phase is reconsidered, with special attention paid to the topological points $g=1/p$. This phase is complementary to the dilute and higher multicritical phases in the sense that dense models contain the same spectrum of bu...
1992-03-10
2009-10-22
[ "hep-th" ]
Ivan K. Kostov and Matthias Staudacher
hep-th/9203024
New Realisations of W Algebras and W Strings
We discuss new realisations of $W$ algebras in which the currents are expressed in terms of two arbitrary commuting energy-momentum tensors together with a set of free scalar fields. This contrasts with the previously-known realisations, which involve only one energy-momentum tensor. Since realisations of non-linear al...
1992-03-09
2009-10-07
[ "hep-th" ]
H. Lu, C.N. Pope, S. Schrans and X.J. Wang
hep-th/9203023
Semilocal strings and monopoles
A variation on the abelian Higgs model, with global SU(2) x local U(1) symmetry broken to global U(1) was recently shown by Vachaspati and Achucarro to admit stable, finite energy cosmic string solutions even though the manifold of minima of the potential energy does not have non-contractible loops. Here the most gener...
1992-03-09
2009-10-07
[ "hep-th" ]
G.W. Gibbons, M.E. Ortiz, F. Ruiz Ruiz and T.M. Samols
hep-th/9203020
The Extension Structure of 2D Massive Current Algebras
The extension structure of the 2-dimensional current algebra of non-linear sigma models is analysed by introducing Kostant Sternberg $(L,M)$ systems. It is found that the algebra obeys a two step extension by abelian ideals. The second step is a non-split extension of a representation of the quotient of the algebra by ...
1992-03-09
2015-06-26
[ "hep-th" ]
J. Laartz
hep-th/9203019
The Weingarten Model a la Polyakov
The Weingarten lattice gauge model of Nambu-Goto strings is generalised to allow for fluctuations of an intrinsic worldsheet metric through a dynamical quadrilation. The continuum limit is taken for $c\leq1$ matter, reproducing the results of hermitian matrix models to all orders in the genus expansion. For the compact...
1992-03-09
2015-06-26
[ "hep-th" ]
S.Dalley
hep-th/9203025
The Search for a realistic flipped SU(5) string model
We present an extensive search for a general class of flipped $SU(5)$ models built within the free fermionic formulation of the heterotic string. We describe a set of algorithms which constitute the basis for a computer program capable of generating systematically the massless spectrum and the superpotential of all pos...
1992-03-09
2009-10-22
[ "hep-th" ]
J. Lopez, D. Nanopoulos, and K. Yuan
hep-th/9203022
Stable Non--Perturbative Minimal Models Coupled to 2D Quantum Gravity
A generalisation of the non--perturbatively stable solutions of string equations which respect the KdV flows, obtained recently for the $(2m-1,2)$ conformal minimal models coupled to two--dimensional quantum gravity, is presented for the $(p,q)$ models. These string equations are the most general string equations compa...
1992-03-09
2009-10-22
[ "hep-th" ]
Clifford Johnson, Tim Morris and Bill Spence
hep-th/9203021
Covariant Currents in N=2 Super-Liouville Theory
Based on a path integral prescription for anomaly calculation, we analyze an effective theory of the two-dimensional $N=2$ supergravity, i.e., $N=2$ super-Liouville theory. We calculate the anomalies associated with the BRST supercurrent and the ghost number supercurrent. From those expressions of anomalies, we constru...
1992-03-09
2009-10-22
[ "hep-th" ]
Joaquim Gomis and Hiroshi Suzuki
hep-th/9203018
Supersymmetric, cold and lukewarm black holes in cosmological Einstein-Maxwell theory
In flat space, the extreme Reissner-Nordstr\o m (RN) black hole is distinguished by its coldness (vanishing Hawking temperature) and its supersymmetry. We examine RN solutions to Einstein-Maxwell theory with a cosmological constant $\Lambda$, classifying the cold black holes and, for positive $\Lambda$, the ``lukewarm"...
1992-03-08
2009-10-22
[ "hep-th" ]
L. J. Romans
hep-th/9203017
Current algebras and light-cone quantization in 3+1 dimensions
A polarization of the Lie algebras $Map(C, G)$ of gauge transformations on the light-cone $C\subset\RM^4$ is introduced, using splitting of the initial data on $C$ for the wave operator to positive and negative frequencies. This generalizes the usual polarization of affine Kac-Moody algebras to positive and negative fr...
1992-03-07
2007-05-23
[ "hep-th" ]
Jouko Mickelsson
hep-th/9203016
Nonlocal Yang-Mills
We present a very simple and explicit procedure for nonlocalizing the action of any theory which can be formulated perturbatively. When the resulting nonlocal field theory is quantized using the functional formalism --- with unit measure factor --- its Green's functions are finite to all orders. The construction also e...
1992-03-07
2009-10-22
[ "hep-th" ]
Gary Kleppe and R. P. Woodard
hep-th/9203014
Brst Cohomology and Invariants of 4D Gravity in Ashtekar Variables
We discuss the BRST cohomologies of the invariants associated with the description of classical and quantum gravity in four dimensions, using the Ashtekar variables. These invariants are constructed from several BRST cohomology sequences. They provide a systematic and clear characterization of non-local observables in ...
1992-03-06
2009-10-22
[ "hep-th" ]
Lay Nam Chang and Chopin Soo
hep-th/9203015
Chiral Current Algebras in Three--Dimensional Bf--Theory with Boundary
We consider the three--dimensional BF--model with planar boundary in the axial gauge. We find two--dimensional conserved chiral currents living on the boundary and satisfying Kac--Moody algebras.
1992-03-06
2007-05-23
[ "hep-th" ]
Nicola Maggiore and Paolo Provero
hep-th/9203012
Measuring the $W$-hair of String Black Holes
We have argued previously that the infinitely many gauge symmetries of string theory provide an infinite set of conserved (gauge) quantum numbers ($W$-hair) which characterise black hole states and maintain quantum coherence. Here we study ways of measuring the $W$-hair of spherically-symmetric four-dimensional objects...
1992-03-05
2009-09-11
[ "hep-th" ]
John Ellis, N.E. Mavromatos and D.V. Nanopoulos
hep-th/9203009
Higher Genus Correlators from the Hermitian One-Matrix Model
We develop an iterative algorithm for the genus expansion of the hermitian $N\times N$ one-matrix model ( = the Penner model in an external field). By introducing moments of the external field, we prove that the genus $g$ contribution to the $m$-loop correlator depends only on $3g-2+m$ lower moments ($3g-2$ for the par...
1992-03-04
2009-10-22
[ "hep-th" ]
J. Ambjorn, L. Chekhov and Yu. Makeenko
hep-th/9203010
On The Interpolating Solutions of Strings in Different Backgrounds
We analyze the beta-function equations for string theory in the case when the target space has one spacelike (or timelike) direction and rest is some conformal field theory (CFT) with appropriate central charge and has one nearly marginal operator. We show there always exists a space (time) dependent solution which int...
1992-03-04
2015-06-26
[ "hep-th" ]
Sudipta Mukherji
hep-th/9203011
Fusion Rules and R-Matrices For Representations of $SL(2)_q$ at Roots of Unity
We recall the classification of the irreducible representations of $SL(2)_q$, and then give fusion rules for these representations. We also consider the problem of $\cR$-matrices, intertwiners of the differently ordered tensor products of these representations, and satisfying altogether Yang--Baxter equations.
1992-03-04
2008-02-03
[ "hep-th", "math.QA" ]
Daniel Arnaudon
hep-th/9203007
No-Boundary Theta-Sectors in Spatially Flat Quantum Cosmology
Gravitational theta-sectors are investigated in spatially locally homogeneous cosmological models with flat closed spatial surfaces in 2+1 and 3+1 spacetime dimensions. The metric ansatz is kept in its most general form compatible with Hamiltonian minisuperspace dynamics. Nontrivial theta-sectors admitting a semiclassi...
1992-03-03
2009-10-22
[ "hep-th" ]
Domenico Giulini and Jorma Louko
hep-th/9203006
Mtric from Non-Metric Action of Gravity
The action of general relativity proposed by Capovilla, Jacobson and Dell is written in terms of $SO(3)$ gauge fields and gives Ashtekar's constraints for Einstein gravity. However, it does not depend on the space-time metric nor its signature explicitly. We discuss how the space-time metric is introduced from algebrai...
1992-03-03
2010-11-01
[ "hep-th" ]
Kiyoshi Kamimura, Sinobu Makita and Takeshi Fukuyama
hep-th/9203008
Gauge Symmetries of the N=2 String
We study the underlying gauge symmetry algebra of the $N=2$ string, which is broken down to a subalgebra in any spacetime background. For given toroidal backgrounds, the unbroken gauge symmetries (corresponding to holomorphic and antiholomorphic worldsheet currents) generate area-preserving diffeomorphism algebras of n...
1992-03-03
2010-11-01
[ "hep-th" ]
Amit Giveon and Alfred Shapere
hep-th/9203003
The Sub-leading Magnetic Deformation of the Tricritical Ising Model in 2D as RSOS Restriction of the Izergin-Korepin Model
We compute the $S$-matrix of the Tricritical Ising Model perturbed by the subleading magnetic operator using Smirnov's RSOS reduction of the Izergin-Korepin model. We discuss some features of the scattering theory we obtain, in particular a non trivial implementation of crossing-symmetry, interesting connections betwee...
1992-03-02
2009-10-22
[ "hep-th" ]
F. Colomo, A. Koubek, G. Mussardo
hep-th/9203013
Is the $O(3)~\sigma$ Model with the Hopf Term Exactly Equivalent to a Higher Spin Theory?
We write down a local $CP_1$ model involving two gauge fields, which is exactly equivalent to the O(3) $\sigma$ model with the Hopf term. We impose the $CP_1$ constraint by using the gaussian representation of the delta function. For the coefficient of the Hopf term, $\theta = {\pi \over 2s}$, 2s being an integer, we s...
1992-03-02
2009-10-22
[ "hep-th" ]
T.R.Govindarajan, R.Shankar, N.Shaji and M.Sivakumar
hep-th/9203002
Disk Amplitudes in Two-Dimensional Open String Theories
Disk amplitudes of tachyons in two-dimensional open string theories (two-dimensional quantum gravity coupled to $c \leq 1$ conformal field theories) are obtained using the continuum Liouville field approach. The structure of momentum singularities is different from that of sphere amplitudes and is more complicated. It ...
1992-03-02
2007-05-23
[ "hep-th" ]
Yoshiaki Tanii and Shun-ichi Yamaguchi
hep-th/9203004
Can fusion coefficients be calculated from the depth rule ?
The depth rule is a level truncation of tensor product coefficients expected to be sufficient for the evaluation of fusion coefficients. We reformulate the depth rule in a precise way, and show how, in principle, it can be used to calculate fusion coefficients. However, we argue that the computation of the depth itself...
1992-03-02
2009-10-22
[ "hep-th" ]
A.N. Kirillov, P. Mathieu, D. Senechal and M. Walton
hep-th/9203005
Unitary One Matrix Models: String Equations and Flows
We review the Symmetric Unitary One Matrix Models. In particular we discuss the string equation in the operator formalism, the mKdV flows and the Virasoro Constraints. We focus on the $\t$-function formalism for the flows and we describe its connection to the (big cell of the) Sato Grassmannian $\Gr$ via the Plucker em...
1992-03-02
2007-05-23
[ "hep-th" ]
K.N. Anagnostopoulos and M. J. Bowick
hep-th/9203001
Topological Phases of the Heterotic String
We analyze the phase structure of topological Calabi--Yau manifolds defined on the moduli space of instantons. We show in this framework that topological vacua describe new phases of the Heterotic String theory in which the flat directions corresponding to complex deformations are lifted. We also briefly discuss the ph...
1992-03-01
2009-10-22
[ "hep-th" ]
Jack Morse & Rolf Schimmrigk
hep-th/9202092
Strings on Curved Spacetimes: Black Holes, Torsion, and Duality
We present a general discussion of strings propagating on noncompact coset spaces $G/H$ in terms of gauged WZW models, emphasizing the role played by isometries in the existence of target space duality. Fixed points of the gauged transformations induce metric singularities and, in the case of abelian subgroups $H$, bec...
1992-02-29
2010-11-01
[ "hep-th" ]
Paul Ginsparg and Fernando Quevedo
hep-th/9202091
On a New Class of Integrable Models
We define a new class of integrable vertex models associated to quantum groups at roots of unit
1992-02-28
2015-06-26
[ "hep-th" ]
A. Berkovich, C. Gomez and G.SIERRA
hep-th/9202090
From wormhole to time machine: Comments on Hawking's Chronology Protection Conjecture
The recent interest in ``time machines'' has been largely fueled by the apparent ease with which such systems may be formed in general relativity, given relatively benign initial conditions such as the existence of traversable wormholes or of infinite cosmic strings. This rather disturbing state of affairs has led Hawk...
1992-02-26
2009-10-22
[ "hep-th" ]
By Matt Visser
hep-th/9202087
Picture Changing Operators in Closed Fermionic String Field Theory
We discuss appropriate arrangement of picture changing operators required to construct gauge invariant interaction vertices involving Neveu-Schwarz states in heterotic and closed superstring field theory. The operators required for this purpose are shown to satisfy a set of descent equations.
1992-02-26
2009-09-15
[ "hep-th" ]
R. Saroja and A. Sen
hep-th/9202089
Correlation Functions in non critical (super) string theory
We consider the correlation functions of the tachyon vertex operator of the super Liouville theory coupled to matter fields in the super Coulomb gas formulation, on world sheets with spherical topology. After integrating over the zero mode and assuming that the $s$ parameter takes an integer value, we subsequently cont...
1992-02-26
2015-06-26
[ "hep-th" ]
E. Abdalla, M.C.B. Abdalla, D. Dalmazi, K. Harada
hep-th/9202086
Area-Preserving Diffeomorphisms, w_\infty Algebras and w_\infty Gravity
The w_\infty algebra is a particular generalization of the Virasoro algebra with generators of higher spin 2,3,...,\infty. It can be viewed as the algebra of a class of functions, relative to a Poisson bracket, on a suitably chosen surface. Thus, w_\infty is a special case of area-preserving diffeomorphisms of an arbit...
1992-02-26
2007-05-23
[ "hep-th" ]
E. Sezgin
hep-th/9202088
The Index of discontinuous Vector Fields: Topological Particles and Vector Fields
We define the concepts of topological particles and topological radiation. These are nothing more than connected components of defects of a vector field. To each topological particle we assign an index which is an integer which is conserved under interactions with other particles much as electric charge is conserved. F...
1992-02-26
2008-02-03
[ "hep-th", "math.GT" ]
Daniel H. Gottlieb and Geetha Samaranayake
hep-th/9202084
Cocycle Properties of String Theories on Orbifolds
We study cocycle properties of vertex operators and present an operator representation of cocycle operators, which are attached to vertex operators to ensure the duality of amplitudes. It is shown that this analysis makes it possible to obtain the general class of consistent string theories on orbifolds.
1992-02-25
2008-11-26
[ "hep-th" ]
Tsutomu Horiguchi, Makoto Sakamoto and Masayoshi Tabuse
hep-th/9202083
The General Class of String Theories on Orbifolds
We investigate the following three consistency conditions for constructing string theories on orbifolds: i) the invariance of the energy-momentum tensors under twist operators, ii) the duality of amplitudes and iii) modular invariance of partition functions. It is shown that this investigation makes it possible to obta...
1992-02-25
2008-02-03
[ "hep-th" ]
Makoto Sakamoto and Masayoshi Tabuse
hep-th/9202079
Self Duality and Quantization
Quantum theory of the free Maxwell field in Minkowski space is constructed using a representation in which the self dual connection is diagonal. Quantum states are now holomorphic functionals of self dual connections and a decomposition of fields into positive and negative frequency parts is unnecessary. The constructi...
1992-02-24
2010-11-01
[ "hep-th" ]
Abhay Ashtekar, Carlo Rovelli and Lee Smolin
hep-th/9202082
The Pokrovski-Talapov Phase Transitions and Quantum Groups
We show that the XY quantum chain in a magnetic field is invariant under a two parameter deformation of the $SU(1/1)$ superalgebra. One is led to an extension of the braid group and the Hecke algebras which reduce to the known ones when the two parameter coincide. The physical significance of the two parameters is disc...
1992-02-24
2007-05-23
[ "hep-th" ]
Haye Hinrichsen and Vladimir Rittenberg
hep-th/9202085
Critical Theories of the Dissipative Hofstadter Model
It has recently been shown that the dissipative Hofstadter model (dissipative quantum mechanics of an electron subject to uniform magnetic field and periodic potential in two dimensions) exhibits critical behavior on a network of lines in the dissipation/magnetic field plane. Apart from their obvious condensed matter i...
1992-02-24
2009-10-22
[ "hep-th" ]
C. Callan, A. Felce, and D. Freed
hep-th/9202080
Schwinger-Dyson Equations of Matrix Models for Open and Closed Strings
We study the Schwinger-Dyson equations of a matrix model for an open-closed string theory. The free energy with source terms for scaling operators satisfies the same Virasoro conditions as those of the pure closed string and is obtained from that of the pure closed string by giving appropriate nonvanishing background v...
1992-02-24
2009-10-22
[ "hep-th" ]
Yukihisa Itoh and Yoshiaki Tanii
hep-th/9202081
Matrix model with superconformal symmetry
A matrix model is presented which leads to the discrete ``eigenvalue model'' proposed recently by Alvarez-Gaum\'e {\it et.al.} for 2D supergravity (coupled to superconformal matters).
1992-02-24
2009-10-22
[ "hep-th" ]
Michiaki Takama
hep-th/9202076
The G_Newton --> 0 Limit of Euclidean Quantum Gravity
Using the Ashtekar formulation, it is shown that the G_{Newton} --> 0 limit of Euclidean or complexified general relativity is not a free field theory, but is a theory that describes a linearized self-dual connection propagating on an arbitrary anti-self-dual background. This theory is quantized in the loop representat...
1992-02-22
2010-04-06
[ "hep-th" ]
Lee Smolin
hep-th/9202077
Non-Abelian Monopoles Coupled to Gravity
A static configuration of point charges held together by the gravitational attraction is known to be given by the Majumdar-Papapetrou solution in the Einstein-Maxwell theory. We consider a generalization of this solution to non-Abelian monopoles of the Yang-Mills Higgs system coupled to gravity. The solution is governe...
1992-02-22
2009-12-30
[ "hep-th" ]
B. S. Balakrishna and Kameshwar C. Wali
hep-th/9202078
A Possible Black Hole Background in c=1 Matrix Model
We propose a new space-time interpretation for c=1 matrix model with potential $V(x)=-x^{2}/2-\m^{2}/2x^{2}$. It is argued that this particular potential corresponds to a black hole background. Some related issues are discussed.
1992-02-22
2008-02-03
[ "hep-th" ]
Zhu Yang
hep-th/9202074
A Model of Three-Dimensional Lattice Gravity
A model is proposed which generates all oriented $3d$ simplicial complexes weighted with an invariant associated with a topological lattice gauge theory. When the gauge group is $SU_q(2)$, $q^n=1,$ it is the Turaev-Viro invariant and the model may be regarded as a non-perturbative definition of $3d$ simplicial quantum ...
1992-02-21
2010-11-01
[ "hep-th" ]
D. Boulatov
hep-th/9202075
S-Wave Scattering of Charged Fermions by a Magnetic Black Hole
We argue that, classically, $s$-wave electrons incident on a magnetically charged black hole are swallowed with probability one: the reflection coefficient vanishes. However, quantum effects can lead to both electromagnetic and gravitational backscattering. We show that, for the case of extremal, magnetically charged, ...
1992-02-21
2009-09-17
[ "hep-th" ]
Mark Alford and Andrew Strominger
hep-th/9202070
Duality in Quantum Toda theory and W-algebras
We consider Quantum Toda theory associated to a general Lie algebra. We prove that the conserved quantities in both conformal and affine Toda theories exhibit duality interchanging the Dynkin diagram and its dual, and inverting the coupling constant. As an example we discuss the conformal Toda theories based on $B_2,B_...
1992-02-20
2009-10-22
[ "hep-th" ]
H. G. Kausch and G. M. T. Watts
hep-th/9202069
Quantum Conserved Currents in Affine Toda Theories
We study the renormalization and conservation at the quantum level of higher-spin currents in affine Toda theories with particular emphasis on the nonsimply-laced cases. For specific examples, namely the spin-3 current for the $a_3^{(2)}$ and $c_2^{(1)}$ theories, we prove conservation to all-loop order, thus establish...
1992-02-20
2011-07-19
[ "hep-th" ]
G.W. Delius, M.T. Grisaru and D. Zanon
hep-th/9202073
$Z_n$ Baxter Models and Quantum Symmetric Spaces
The scattering of two excitations (both of the simplest kind) in the magnetic model related to the $Z_n$\--Baxter model is naturally described for $n \rightarrow \infty$ in terms of the Macdonald polynomials for root system $A_1$. These polynomials play the role of zonal spherical functions for a two parameter family o...
1992-02-20
2009-10-22
[ "hep-th" ]
Peter G. O. Freund and Anton V. Zabrodin
hep-th/9202071
The reality conditions for the new canonical variables of General Relativity
We examine the constraints and the reality conditions that have to be imposed in the canonical theory of 4--d gravity formulated in terms of Ashtekar variables. We find that the polynomial reality conditions are consistent with the constraints, and make the theory equivalent to Einstein's, as long as the inverse metric...
1992-02-20
2010-04-06
[ "hep-th" ]
Giorgio Immirzi (Universita' di Perugia & INFN Perugia, Italy)
hep-th/9202072
W-Infinity and String Theory
We review some recent developments in the theory of $W_\infty$. We comment on its relevance to lower-dimensional string theory.
1992-02-20
2009-10-22
[ "hep-th" ]
X. Shen
hep-th/9202062
The Plumbing of Minimal Area Metrics
We study the metric of minimal area on a punctured Riemann surface under the condition that all nontrivial homotopy closed curves be longer than or equal to $2\pi$. By constructing deformations of admissible metrics we establish necessary conditions on minimal area metrics and a partial converse to Beurling's criterion...
1992-02-19
2007-05-23
[ "hep-th" ]
Michael Wolf and Barton Zwiebach
hep-th/9202064
Anomalies and Deconfinement
I discuss how instanton effects can be wiped-out due to the existence of anomalies. I first consider Compact Quantum Electrodynamics in 3 dimensions where confinement of electric charge is destroyed when fermions are added so that a Chern-Simons term is generated as a one-loop effect. I also show that a similar phenome...
1992-02-19
2007-05-23
[ "hep-th" ]
F. A. Schaposnik
hep-th/9202065
Algebraic Structures and Eigenstates for Integrable Collective Field Theories
Conditions for the construction of polynomial eigen--operators for the Hamiltonian of collective string field theories are explored. Such eigen--operators arise for only one monomial potential $v(x) = \mu x^2$ in the collective field theory. They form a $w_{\infty}$--algebra isomorphic to the algebra of vertex operator...
1992-02-19
2009-10-22
[ "hep-th" ]
Jean Avan and Antal Jevicki
hep-th/9202067
Stringy Domain Walls and Other Stringy Topological Defects
We point out that the moduli sector of the $(2,2)$ string compactification with its nonperturbatively preserved non-compact symmetries is a framework to study global topological defects. Based on the target space modular invariance of the nonperturbative superpotential of the four-dimensional $N=1$ supersymmetric strin...
1992-02-19
2007-05-23
[ "hep-th" ]
Mirjam Cvetic
hep-th/9202063
A Loop Representation for the Quantum Maxwell Field
Quantization of the free Maxwell field in Minkowski space is carried out using a loop representation and shown to be equivalent to the standard Fock quantization. Because it is based on coherent state methods, this framework may be useful in quantum optics. It is also well-suited for the discussion of issues related to...
1992-02-19
2010-04-06
[ "hep-th" ]
Abhay Ashtekar and Carlo Rovelli
hep-th/9202061
Exceptional Superconformal Algebras
Reductive W-algebras which are generated by bosonic fields of spin-1, a single spin-2 field and fermionic fields of spin-3/2 are classified. Three new cases are found: a `symplectic' family of superconformal algebras which are extended by $su(2)\oplus sp(n)$, an $N=7$ and an $N=8$ superconformal algebra. The exceptiona...
1992-02-19
2009-10-22
[ "hep-th" ]
P. Bowcock
hep-th/9202068
Properties of Asymptotically Flat Two-Dimensional Black Holes
We investigate properties of two-dimensional asymptotically flat black holes which arise in both string theory and in scale invariant theories of gravity. By introducing matter sources in the field equations we show how such objects can arise as the endpoint of gravitational collapse. We examine the motion of test part...
1992-02-19
2010-04-06
[ "hep-th" ]
R.B. Mann, M.S. Morris and S.F. Ross
hep-th/9202066
QCD Instantons and 2D Surfaces
Some time ago, Atiyah showed that there exists a natural identification between the k-instantons of a Yang-Mills theory with gauge group $G$ and the holomorphic maps from $CP_1$ to $\Omega G$. Since then, Nair and Mazur, have associated the $\Theta $ vacua structure in QCD with self-intersecting Riemann surfaces immers...
1992-02-19
2015-06-26
[ "hep-th" ]
V.G.J. Rodgers
hep-th/9202060
On Sibling and Exceptional W Strings
We discuss the physical spectrum for $W$ strings based on the algebras $B_n$, $D_n$, $E_6$, $E_7$ and $E_8$. For a simply-laced $W$ string, we find a connection with the $(h,h+1)$ unitary Virasoro minimal model, where $h$ is the dual Coxeter number of the underlying Lie algebra. For the $W$ string based on $B_n$, we fi...
1992-02-18
2009-10-07
[ "hep-th" ]
H. Lu, C.N. Pope, S. Schrans and X.J. Wang
hep-th/9202058
Hamiltonian Reduction and Classical Extended Superconformal Algebras
We present a systematic construction of classical extended superconformal algebras from the hamiltonian reduction of a class of affine Lie superalgebras, which include an even subalgebra $sl(2)$. In particular, we obtain the doubly extended $N=4$ superconformal algebra $\tilde{A}_{\gamma}$ from the hamiltonian reductio...
1992-02-18
2009-10-22
[ "hep-th" ]
Katsushi Ito and Jens Ole Madsen
hep-th/9202059
Axion Couplings and Effective Cut-Offs in Superstring Compactifications
We use the linear supermultiplet formalism of supergravity to study axion couplings and chiral anomalies in the context of field-theoretical Lagrangians describing orbifold compactifications beyond the classical approximation. By matching amplitudes computed in the effective low energy theory with the results of string...
1992-02-18
2010-11-01
[ "hep-th" ]
Mary K. Gaillard and T.R. Taylor
hep-th/9202056
Universal Field Equations with Reparametrisation Invariance
New reparametrisation invariant field equations are constructed which describe $d$-brane models in a space of $d+1$ dimensions. These equations, like the recently discovered scalar field equations in $d+1$ dimensions, are universal, in the sense that they can be derived from an infinity of inequivalent Lagrangians, but...
1992-02-17
2009-10-22
[ "hep-th" ]
D.B. Fairlie and J. Govaerts
hep-th/9202055
Canonical Quantization of 2d Gravity Coupled to c<1 Matter
We study 2d gravity coupled to $c,1$ matter through canonical quantization of a free scalar field, with background charge, coupled to gravity. Various features of the theory can be more easily understood in the canonical approach, like gauge indipendence of the path-integral results and the absence of the local physica...
1992-02-17
2008-02-03
[ "hep-th" ]
A. Mikovic
hep-th/9202057
Exchange Operator Formalism for Integrable Systems of Particles
We formulate one dimensional many-body integrable systems in terms of a new set of phase space variables involving exchange operators. The hamiltonian in these variables assumes a decoupled form. This greatly simplifies the derivation of the conserved charges and the proof of their commutativity at the quantum level.
1992-02-17
2009-10-22
[ "hep-th" ]
Alexios P. Polychronakos
hep-th/9202053
Representations of the holonomy algebras of gravity and non-Abelian gauge theories
Holonomy algebras arise naturally in the classical description of Yang-Mills fields and gravity, and it has been suggested, at a heuristic level, that they may also play an important role in a non-perturbative treatment of the quantum theory. The aim of this paper is to provide a mathematical basis for this proposal. ...
1992-02-15
2010-04-06
[ "hep-th" ]
Abhay Ashtekar and C.J. Isham
hep-th/9202054
Gravitons and Loops
The recently proposed loop representation, used previously to find exact solutions to the quantum constraints of general relativity, is here used to quantize linearized general relativity. The Fock space of graviton states and its associated algebra of observables are represented in terms of functionals of loops. The `...
1992-02-15
2010-11-01
[ "hep-th" ]
Abhay Ashtekar, Carlo Rovelli and Lee Smolin
hep-th/9202046
Duality Anomaly Cancellation, Minimal String Unification and the Effective Low-Energy Lagrangian of 4-D Strings
We present a systematic study of the constraints coming from target-space duality and the associated duality anomaly cancellations on orbifold-like 4-D strings. A prominent role is played by the modular weights of the massless fields. We present a general classification of all possible modular weights of massless field...
1992-02-14
2009-10-07
[ "hep-th" ]
Luis E. Ibanez and Dieter Luest
hep-th/9202047
Quasi-Quantum Groups, Knots, Three-Manifolds, and Topological Field Theory
We show how to construct, starting from a quasi-Hopf algebra, or quasi-quantum group, invariants of knots and links. In some cases, these invariants give rise to invariants of the three-manifolds obtained by surgery along these links. This happens for a finite-dimensional quasi-quantum group, whose definition involves ...
1992-02-14
2009-10-22
[ "hep-th", "math.QA" ]
Daniel Altschuler and Antoine Coste
hep-th/9202048
Bloch Electron in a Magnetic Field : Diagonalization of Tight-Binding Models
A connection of a variety of tight-binding models of noninteracting electrons on a rectangular lattice in a magnetic field with theta functions is established. A new spectrum generating symmetry is discovered which essentialy reduces the problem of diagonalization of these models. Provided that one knows one eigenvecto...
1992-02-14
2008-02-03
[ "hep-th" ]
Alexander Moroz
hep-th/9202052
Topological Spin-Statistics Theorem for Strings
Recently, a topological proof of the spin-statistics Theorem has been proposed for a system of point particles which does not require relativity or field theory, but assumes the existence of antiparticles. We extend this proof to a system of string loops in three space dimensions and show that by assuming the existence...
1992-02-14
2015-06-26
[ "hep-th" ]
A.P.Balachandran, W.D.McGlinn, L.O'Raifeartaigh, S.Sen, R.D.Sorkin, A.M.Srivastava