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hep-th/9303041
Observing 4D Baby Universes in Quantum Gravity
We measure the fractal structure of four dimensional simplicial quantum gravity by identifying so-called baby universes. This allows an easy determination of the critical exponent $\g$ connected to the entropy of four-dimensional manifolds.
1993-03-08
2009-10-22
[ "hep-th", "gr-qc", "hep-lat" ]
J. Ambjorn, S. Jain, J. Jurkiewicz and C.F. Kristjansen
hep-th/9303043
Thermodynamics of Integrable Chains with Alternating Spins
We consider a two-parameter $(\bar c, \tilde c)$ family of quantum integrable Hamiltonians for a chain of alternating spins of spin $s=1/2$ and $s=1$. We determine the thermodynamics for low-temperature $T$ and small external magnetic field $H$, with $T << H$. In the antiferromagnetic $(\bar c > 0, \tilde c > 0)$ case,...
1993-03-08
2009-10-22
[ "hep-th", "cond-mat" ]
H.J. de Vega, Luca Mezincescu and Rafael I. Nepomechie
hep-th/9303042
4D Quantum Gravity Coupled to Matter
We investigate the phase structure of four-dimensional quantum gravity coupled to Ising spins or Gaussian scalar fields by means of numerical simulations. The quantum gravity part is modelled by the summation over random simplicial manifolds, and the matter fields are located in the center of the 4-simplices, which c...
1993-03-08
2009-10-22
[ "hep-th", "gr-qc", "hep-lat" ]
J. Ambjorn, Z. Burda, J. Jurkiewicz and C.F. Kristjansen
hep-th/9303044
Systematic Differential Renormalization to All Orders
We present a systematic implementation of differential renormalization to all orders in perturbation theory. The method is applied to individual Feynamn graphs written in coordinate space. After isolating every singularity. which appears in a bare diagram, we define a subtraction procedure which consists in replacing t...
1993-03-08
2019-08-17
[ "hep-th" ]
J.I. Latorre, C. Manuel and X. Vilasis-Cardona
hep-th/9303045
W-infinity structure of the $sl(N)$ conformal affine Toda theories
We reexamine the $W_{\infty}$ symmetry of the $sl(N)$ Conformal Affine Toda theories. It is shown that it is possible to reduce (nonuniquely) the zero curvature equation to a Lax equation for a first order pseudodifferential oprator, whose coefficients are the generators of the $W_{\infty}$ algebra. This clarifies the ...
1993-03-08
2009-10-22
[ "hep-th", "nlin.SI", "solv-int" ]
R. Paunov
hep-th/9303046
Twists and Wilson Loops in the String Theory of Two Dimensional QCD
Many Texo's have been corrected and a reference added.
1993-03-08
2008-11-26
[ "hep-th", "hep-ph" ]
David J. Gross and Washington Taylor
hep-th/9303040
Model-Independent Analysis of Soft Terms in Effective Supergravity and in String Theory
We discuss supersymmetry breakdown in effective supergravities such as emerge in the low-energy limit of superstring theory. Without specifying the precise trigger of the breakdown, we analyse the soft parameters in the Lagrangian of the supersymmetrized Standard Model.
1993-03-08
2010-02-18
[ "hep-th", "hep-ph" ]
Vadim Kaplunovsky and Jan Louis
hep-th/9303037
Group actions and deformations for harmonic maps
We obtain some new results on classical solutions of two dimensional Euclidean sigma models. From earlier work of Din-Zakrzewski, Glaser-Stora, and numerous differential geometers, one knows explicit solutions in the case of the $S^n$-model, the $CP^n$-model, and the $U(n)$-model. However, very little is known about th...
1993-03-05
2008-02-03
[ "hep-th", "math.DG" ]
M. A. Guest and Y. Ohnita
hep-th/9303034
Diffeomorphisms from higher dimensional W-algebras
Classical W-algebras in higher dimensions have been recently constructed. In this letter we show that there is a finitely generated subalgebra which is isomorphic to the algebra of local diffeomorphisms in D dimensions. Moreover, there is a tower of infinitely many fields transforming under this subalgebra as symmetric...
1993-03-05
2009-10-22
[ "hep-th", "math.QA" ]
Fernando Martinez Moras, Javier Mas and Eduardo Ramos
hep-th/9303036
On the fundamental group of the space of harmonic $2$-spheres in the $n$-sphere
We compute the fundamental group of the "moduli space" of classical solutions of the two dimensional Euclidean $S^n$-model.
1993-03-05
2008-02-03
[ "hep-th", "math.DG" ]
M. Furuta, M. A. Guest, M. Kotani, Y. Ohnita
hep-th/9303035
Quantum-double for a nonstandard deformation of a Borel subalgebra $sl(2,C)$
We give a construction of Drienfeld's quantum double for a nonstandard deformation of Borel subalgebra of $sl(2)$. We construct explicitly some simple representations of this quantum algebra and from the universal R-matrix we obtain the explicit solutions of the Yang-Baxter equation in those cases.
1993-03-05
2008-02-03
[ "hep-th", "math.QA" ]
C. Burdik and P. Hellinger
hep-th/9303039
Division Algebras, (1,9)-Space-Time, Matter-Antimatter Mixing
The tensor product of the division algebras, which is a kernel for the structure of the Standard Model, is also a root for the Clifford algebra of (1,9)-space-time. A conventional Dirac Lagrangian, employing the (1,9)-Dirac operator acting on the Standard Model hyperfield, gives rise to matter into antimatter transitio...
1993-03-05
2007-05-23
[ "hep-th" ]
Geoffrey Dixon
hep-th/9303031
Is Induced QCD really QCD? The preservation of asymptotic freedom by matter interactions
The program of induced QCD requires that there exist self-interactions among the heavy matter fields (an adjoint scalar and a few fermions in the fundamental representation) which tend to spoil the asymptotic freedom of SU(N) gauge theory. We consider general interactions between such matter fields and show that, on th...
1993-03-04
2009-10-22
[ "hep-th" ]
J.M. Cline and S. Paban
hep-th/9303033
Self-Dual Supersymmetric Yang-Mills Theory Generates Witten's Topological Field Theory
{}~~~We show that the recently constructed $~N=4$~ supersymmetric self-dual Yang-Mills theory as the consistent background of \hbox{$~N=2$} open superstring will generate Witten's topological field theory in two-dimensions as a descendant theory after appropriate twisted dimensional reduction/truncations. We also show ...
1993-03-04
2009-10-22
[ "hep-th" ]
H. Nishino
hep-th/9303022
SU(2)-Effective Action Wiht the Nonanalytic Term
The nonanalytic $g^3$-term is calculated for SU(2)-effective action at finite temperature and the status of a gauge fields condensation is briefly discussed.
1993-03-04
2007-05-23
[ "hep-th" ]
O.K.Kalashnikov
hep-th/9303029
Dirty black holes: Entropy versus area
Considerable interest has recently been expressed in the entropy versus area relationship for ``dirty'' black holes --- black holes in interaction with various classical matter fields, distorted by higher derivative gravity, or infested with various forms of quantum hair. In many cases it is found that the entropy is s...
1993-03-04
2009-10-22
[ "hep-th", "gr-qc" ]
Matt Visser
hep-th/9303026
Degenerations of Sklyanin algebra and Askey-Wilson polynomials
A new trigonometric degeneration of the Sklyanin algebra is found and the functional realization of its representations in space of polynomials in one variable is studied. A further contraction gives the standard quantum algebra $U_{q}(sl(2))$. It is shown that the degenerate Sklyanin algebra contains a subalgebra isom...
1993-03-04
2009-10-22
[ "hep-th", "math.QA" ]
A. S. Gorsky, A. V. Zabrodin
hep-th/9303028
The trace of the heat kernel on a compact hyperbolic 3-orbifold
The heat coefficients related to the Laplace-Beltrami operator defined on the hyperbolic compact manifold $H^3/\Ga$ are evaluated in the case in which the discrete group $\Ga$ contains elliptic and hyperbolic elements. It is shown that while hyperbolic elements give only exponentially vanishing corrections to the trace...
1993-03-04
2010-11-01
[ "hep-th", "math.DG" ]
Guido Cognola and Luciano Vanzo
hep-th/9303030
Large N Limit in the Quantum Hall Effect
The Laughlin states for $N$ interacting electrons at the plateaus of the fractional Hall effect are studied in the thermodynamic limit of large $N$. It is shown that this limit leads to the semiclassical regime for these states, thereby relating their stability to their semiclassical nature. The equivalent problem of t...
1993-03-04
2010-11-01
[ "hep-th", "cond-mat" ]
A. Cappelli, C. A. Trugenberger and G. R. Zemba
hep-th/9303027
Schwinger-Dyson BRST-Symmetry and the Equivalence of Hamiltonian and Lagrangian Quantistion
Implementing the requirement that a field theory be invariant under Schwinger-Dyson BRST symmetry in the Hamiltonian formalism, we show the equivalence between Hamiltonian and Lagrangian BRST-formalism at the path integral level. The Lagrangian quantum master equation is derived as a direct consequence of the Fradkin-V...
1993-03-04
2009-10-22
[ "hep-th" ]
Frank De Jonghe
hep-th/9303032
$O(\tilde d,\tilde d)$ Transformations and 3D Black Hole
We generalize the results of a previous paper by one of the authors to show a relationship among a class of string solutions through $O(\tilde d, \tilde d)$ transformations. The results are applied to a rotating black hole solution of three dimensional general relativity discussed recently. We extend the black hole sol...
1993-03-04
2010-11-01
[ "hep-th" ]
Abbas Ali and Alok Kumar
hep-th/9303021
Gauge Fields Condensation at Finite Temperature
The two-loop effective action for the SU(3) gauge model in a constant background field ${\bar A}_0(x,t)=B_0^3T_3+B_0^8T_8$ is recalculated for a gauge with an arbitrary $\xi$-parameter. The gauge-invariant thermodynamical potential is found and its extremum points are investigated. Within a two-loop order we find that ...
1993-03-04
2009-10-22
[ "hep-th" ]
O.K.Kalashnikov
hep-th/9303038
Symplectic structures associated to Lie-Poisson groups
The Lie-Poisson analogues of the cotangent bundle and coadjoint orbits of a Lie group are considered. For the natural Poisson brackets the symplectic leaves in these manifolds are classified and the corresponding symplectic forms are described. Thus the construction of the Kirillov symplectic form is generalized for Li...
1993-03-04
2009-10-22
[ "hep-th", "math.SG" ]
A. Yu. Alekseev, A. Z. Malkin
hep-th/9303020
van Vleck determinants: geodesic focussing and defocussing in Lorentzian spacetimes
The van Vleck determinant is an ubiquitous object, arising in many physically interesting situations such as: (1) WKB approximations to quantum time evolution operators and Green functions. (2) Adiabatic approximations to heat kernels. (3) One loop approximations to functional integrals. (4) The theory of caustics in g...
1993-03-03
2009-10-22
[ "hep-th", "gr-qc" ]
Matt Visser
hep-th/9303018
Representations of affine Lie algebras, elliptic r-matrix systems, and special functions
There were some errors in paper hep-th/9303018 in formulas 6.1, 6.6, 6.8, 6.11. These errors have been corrected in the present version of this paper. There are also some minor changes in the introduction.
1993-03-03
2009-10-22
[ "hep-th", "math.QA" ]
Pavel Etingof (Department of Mathematics, Yale University)
hep-th/9303017
Threshold Corrections to Gauge Couplings in Orbifold Compactifications
We derive the moduli dependent threshold corrections to gauge couplings in toroidal orbifold compactifications. The underlying six dimensional torus lattice of the heterotic string theory is not assumed ---as in previous calculations--- to decompose into a direct sum of a four--dimensional and a two--dimensional sublat...
1993-03-03
2010-11-01
[ "hep-th" ]
P. Mayr and S. Stieberger
hep-th/9303024
Effects of friction on cosmic strings
We study the evolution of cosmic strings taking into account the frictional force due to the surrounding radiation. We consider small perturbations on straight strings, oscillation of circular loops and small perturbations on circular loops. For straight strings, friction exponentially suppresses perturbations whose co...
1993-03-03
2009-10-22
[ "hep-th", "hep-ph" ]
J. Garriga and M. Sakellariadou
hep-th/9303019
Integrable Conformal Field Theory in Four Dimensions and Fourth-Rank Geometry
We consider the conformal properties of geometries described by higher-rank line elements. A crucial role is played by the conformal Killing equation (CKE). We introduce the concept of null-flat spaces in which the line element can be written as ${ds}^r=r!d\zeta_1\cdots d\zeta_r$. We then show that, for null-flat space...
1993-03-03
2009-10-22
[ "hep-th" ]
Victor Tapia
hep-th/9303025
A New Sigma Model Action for the Four-Dimensional Green-Schwarz Heterotic Superstring
The sigma model action described in this paper differs in four important features from the usual sigma model action for the four-dimensional Green-Schwarz heterotic superstring in a massless background. Firstly, the action is constructed on an N=(2,0) super-worldsheet using a Kahler potential and an Ogievetsky-Sokatche...
1993-03-03
2011-07-19
[ "hep-th" ]
Nathan Berkovits
hep-th/9303014
Exact Operator Quantization of a Model of Two-Dimensional Dilaton Gravity
Exact operator quantization is perfomed of a model of two-dimensional dilaton gravity in Lorentzian spacetime, classically equivalent to the one proposed by Callan, Giddings, Harvey and Strominger, in the special case with 24 massless matter scalars. This is accomplished by developing a non-linear and non-local quantum...
1993-03-03
2016-09-06
[ "hep-th" ]
S. Hirano, Y. Kazama and Y. Satoh
hep-th/9303015
Where are the Mirror Manifolds?
The recent classification of Landau--Ginzburg potentials and their abelian symmetries focuses attention on a number of models with large positive Euler number for which no mirror partner is known. All of these models are related to Calabi--Yau manifolds in weighted $\IP_4$, with a characteristic structure of the defini...
1993-03-03
2009-10-22
[ "hep-th" ]
Maximilian Kreuzer
hep-th/9303016
Axial Vector Duality as a Gauge Symmetry and Topology Change in String Theory
Lines generated by marginal deformations of WZW models are considered. The Weyl symmetry at the WZW point implies the existence of a duality symmetry on such lines. The duality is interpreted as a broken gauge symmetry in string theory. It is shown that at the two end points the axial and vector cosets are obtained. Th...
1993-03-03
2009-10-22
[ "hep-th" ]
A. Giveon and E. Kiritsis
hep-th/9303023
Hawking's chronology protection conjecture: singularity structure of the quantum stress--energy tensor
The recent renaissance of wormhole physics has led to a very disturbing observation: If traversable wormholes exist then it appears to be rather easy to to transform such wormholes into time machines. This extremely disturbing state of affairs has lead Hawking to promulgate his chronology protection conjecture. This pa...
1993-03-03
2009-10-22
[ "hep-th", "gr-qc" ]
Matt Visser
hep-th/9303010
Dynamical Realizability for Quantum Measurement and Factorization of Evolution Operator
By building a general dynamical model for quantum measurement process,it is shown that the factorization of reduced evolution operator sufficiently results in the quantum mechanical realization of the wave packet collapse and the state correlation between the measured system and the measuring instrument-detector.This r...
1993-03-02
2007-05-23
[ "hep-th" ]
Chang_Pu Sun
hep-th/9303008
Correlation functions of quantum q-oscillators
Nonlinearity of electromagnetic field vibrations described by q-oscillators is shown to produce essential dependence of second correlation functions on intensity and deformation of Planck distribution. Experimental tests of such nonlinearity are suggested.
1993-03-02
2009-10-22
[ "hep-th" ]
V.I.Man'ko, G.Marmo, S.Solimeno, F. Zaccaria
hep-th/9303006
Quantum $R^2$ Gravity in Two Dimensions
Two-dimensional quantum gravity with an $R^2$ term is investigated in the continuum framework. It is shown that the partition function for small area $A$ is highly suppressed by an exponential factor $exp \{ -2\pi (1-h)^2/(m^2A) \}$, where $1/m^2$ is the coefficient (times $32\pi$) of $R^2$ and $h$ is the genus of the ...
1993-03-02
2009-10-22
[ "hep-th" ]
Hikaru Kawai and Ryuichi Nakayama
hep-th/9303007
Miens of The Three Dimensional Black Hole
Some aspects of the rotating three-dimensional Einstein-Anti-de-Sitter black hole solution, constructed recently by Banados, Teitelboim and Zanelli are discussed. It is shown explicitly that this black hole represents the most general black hole type solution of the Einstein-Anti-de-Sitter theory. The interpretation of...
1993-03-02
2008-11-26
[ "hep-th", "gr-qc" ]
N. Kaloper
hep-th/9303013
Quasi-Particles, Conformal Field Theory, and $q$-Series
We review recent results concerning the representation of conformal field theory characters in terms of fermionic quasi-particle excitations, and describe in detail their construction in the case of the integrable three-state Potts chain. These fermionic representations are $q$-series which are generalizations of the s...
1993-03-02
2014-11-18
[ "hep-th", "cond-mat" ]
S. Dasmahapatra, R. Kedem, T.R. Klassen, B.M. McCoy and E. Melzer
hep-th/9303011
Is it possible to recover information from the black-hole radiation?
In the framework of communication theory, we analyse the gedanken experiment in which beams of quanta bearing information are flashed towards a black hole. We show that stimulated emission at the horizon provides a correlation between incoming and outgoing radiations consisting of bosons. For fermions, the mechanism re...
1993-03-02
2009-10-22
[ "hep-th" ]
M. Schiffer
hep-th/9303012
Spectral Density of the QCD Dirac Operator near Zero Virtuality
We investigate the spectral properties of a random matrix model, which in the large $N$ limit, embodies the essentials of the QCD partition function at low energy. The exact spectral density and its pair correlation function are derived for an arbitrary number of flavors and zero topological charge. Their microscopic l...
1993-03-02
2009-10-22
[ "hep-th" ]
J.J.M. Verbaarschot and I. Zahed
hep-th/9303009
Algebraic Aspects of Orbifold Models
: Algebraic properties of orbifold models on arbitrary Riemann surfaces are investigated. The action of mapping class group transformations and of standard geometric operations is given explicitly. An infinite dimensional extension of the quantum group is presented.
1993-03-02
2015-06-26
[ "hep-th" ]
Peter Bantay
hep-th/9303005
Higher-Derivative Supersymmetry and the Witten Index
Higher-derivative generalization of the supersymmetric quantum mechanics is proposed. It is formally based on the standard superalgebra but supercharges involve differential operators of the order $n$. As a result, their anticommutator entails polynomial of a Hamiltonian. The Witten index does not characterize spontane...
1993-03-01
2009-10-22
[ "hep-th" ]
A.A.Andrianov, M.V.Ioffe, and V.P.Spiridonov
hep-th/9303004
Symmetries of the Self-Similar Potentials
An application of the particular type of nonlinear operator algebras to spectral problems is outlined. These algebras are associated with a set of one-dimensional self-similar potentials, arising due to the q-periodic closure f_{j+N}(x)=qf_j(qx), k_{j+N}=q^2 k_j of a chain of coupled Riccati equations (dressing chain)....
1993-03-01
2011-03-02
[ "hep-th" ]
V.Spiridonov
hep-th/9303001
Propagation of perturbations along strings
A covariant formalism for physical perturbations propagating along a string in an arbitrary curved spacetime is developed. In the case of a stationary string in a static background the propagation of the perturbations is described by a wave-equation with a potential consisting of 2 terms: The first term describing the ...
1993-03-01
2009-10-22
[ "hep-th" ]
Arne L. Larsen and Valery P. Frolov
hep-th/9303002
Super Black Holes
A quantum version of 2D super dilaton gravity containing a black hole is constructed for $N>8$. A previous disagreement as to whether this is possible or not is resolved.
1993-03-01
2009-10-22
[ "hep-th" ]
Ulf H. Danielsson
hep-th/9303003
Consistency and Phenomenology of Four-Dimensional Strings
Talk given at the 26th Workshop: ``From Superstrings to Supergravity" Erice - Sicily, 5-12 December 1992: In this talk we discuss string consistency requirements on four dimensional string models, namely the cancellation of target space duality anomalies. The analysis is explicitly performed for (hypothetical) orbifold...
1993-03-01
2007-05-23
[ "hep-th", "hep-ph" ]
Dieter Luest
hep-th/9302143
Chiral Rings in Topological (W-)Gravity
Talk given at the 26th Workshop: ``From Superstrings to Supergravity", Erice - Sicily, 5-12 December 1992. We review the superconformal properties of 2d matter coupled to gravity, and extensions thereof. Focusing on topological strings, we recall how the superconformal structure helps to provide a direct link between L...
1993-02-28
2007-05-23
[ "hep-th" ]
W. Lerche
hep-th/9302144
Two Dimensional Quantum Dilaton Gravity and the Positivity of Energy
Using an argument due to Regge and Teitelboim, an expression for the ADM mass of 2d quantum dilaton gravity is obtained. By evaluating this expression we establish that the quantum theories which can be written as a Liouville-like theory, have a lower bound to energy, provided there is no critical boundary. This fact i...
1993-02-28
2009-10-22
[ "hep-th", "gr-qc" ]
S. P. de Alwis
hep-th/9302142
Wave Functional of Quantum Black Holes in Two Dimensions
The wheeler-DeWitt method is applied to the quantization of the 1 + 1 dimensional dilaton gravity coupled with the conformal matter fields. Exact solutions to the WD equations are found, which are interpreted as right(left)-moving black holes.
1993-02-28
2007-05-23
[ "hep-th" ]
Takayuki Hori and Masaru Kamata
hep-th/9302140
Exact solution of the deformed biquadratic spin 1 hamiltonian
Remarks about highest weight states of the underlying quantum group are corrected.
1993-02-27
2009-10-22
[ "hep-th" ]
R. Koberle and A. Lima - Santos
hep-th/9302141
A characterization of the differential in semi-infinite cohomology
Semi-infinite cohomology is constructed from scratch as the proper generalization of finite dimensional Lie algebra cohomology. The differential d and other operators are realized as universal inner deri- vations of a completed algebra, which acts on any appropriate semi-infinite complex. In particular, d is shown to b...
1993-02-27
2008-02-03
[ "hep-th", "math.QA" ]
Fusun Akman
hep-th/9302134
Solitons in Two--Dimensional Topological Field Theories
We consider a class of $N=2$ supersymmetric non--unitary theories in two--dimensional Minkowski spacetime which admit classical solitonic solutions. We show how these models can be twisted into a topological sector whose energy--momentum tensor is a BRST commutator. There is an infinite number of degrees of freedom ass...
1993-02-26
2009-10-22
[ "hep-th" ]
S. Penati, M. Pernici and D. Zanon
hep-th/9302139
The quantum bialgebra associated with the eight-vertex R-matrix
The quantum bialgebra related to the Baxter's eight-vertex R-matrix is found as a quantum deformation of the Lie algebra of sl(2)-valued automorphic functions on a complex torus.
1993-02-26
2009-10-22
[ "hep-th", "math.QA" ]
D. B. Uglov
hep-th/9302130
Canonical treatment of two dimensional gravity as an anomalous gauge theory
The extended phase space method of Batalin, Fradkin and Vilkovisky is applied to formulate two dimensional gravity in a general class of gauges. A BRST formulation of the light-cone gauge is presented to reveal the relationship between the BRST symmetry and the origin of $SL(2,R)$ current algebra. From the same princip...
1993-02-26
2015-06-26
[ "hep-th" ]
T. Fujiwara, T. Tabei, Y. Igarashi, K. Maeda and J. Kubo
hep-th/9302126
Exact Three Dimensional Black Holes in String Theory
A black hole solution to three dimensional general relativity with a negative cosmological constant has recently been found. We show that a slight modification of this solution yields an exact solution to string theory. This black hole is equivalent (under duality) to the previously discussed three dimensional black st...
1993-02-26
2010-11-01
[ "hep-th", "gr-qc" ]
Gary T. Horowitz and Dean L. Welch
hep-th/9302131
Natural Generalization of Bosonic String Amplitudes
The similarity between tree-level string theory scalar amplitudes, the Koba-Nielsen form ($S^{1}$) and the Virasoro-Shapiro form ($S^{2}$) suggests a natural $S^{n}$ generalization for a scalar amplitude. It is shown that the $S^{n}$ amplitude shares many essential properties of the string theory amplitudes, including ...
1993-02-26
2008-02-03
[ "hep-th" ]
Makoto Natsuume
hep-th/9302127
Quantum Black Holes
Clarified certain points and related it to other work.
1993-02-26
2008-02-03
[ "hep-th" ]
Juan Garcia-Bellido
hep-th/9302137
Harmonic BRST Quantization of Systems with Irreducible Holomorphic Boson and Fermion Constraints
We show that the harmonic Becchi-Rouet-Stora-Tyutin method of quantizing bosonic systems with second-class constraints or first-class holomorphic constraints extends to systems having both bosonic and fermionic second-class or first-class holomorphic constraints. Using a limit argument, we show that the harmonic BRST m...
1993-02-26
2013-11-13
[ "hep-th" ]
Theodore J. Allen and Dennis B. Crossley
hep-th/9302135
Subdivision Invariant Models in Lattice Gauge Theory
A class of lattice gauge theories is presented which exhibits novel topological properties. The construction is in terms of compact Wilson variables defined on a simplicial complex which models a four dimensional manifold with boundary. The case of Z2 and Z3 gauge groups is considered in detail, and we prove that at ce...
1993-02-26
2007-05-23
[ "hep-th", "hep-lat" ]
D. Birmingham and M. Rakowski
hep-th/9302132
Unrecognizable Black Holes in Two Dimensions
The classical 2D cosmological model of Callan, Giddings, Harvey and Strominger possesses a global symmetry that is responsible for decoupling of matter fields. The model is quantized on the basis of the extended phase space method to allow an exhaustive, algebraic analysis to find potential anomalies. Under a certain s...
1993-02-26
2009-10-22
[ "hep-th" ]
T. Fujiwara, Y. Igarashi and J. Kubo
hep-th/9302138
The Lie algebra of sl(2)-valued automorphic functions on a torus
It is shown that the Lie algebra of the automorphic, meromorphic sl(2, C) -valued functions on a torus is a geometric realization of a certain infinite-dimensional finitely generated Lie algebra. In the trigonometric limit, when the modular parameter of the torus goes to zero, the former Lie algebra goes over into the ...
1993-02-26
2009-10-22
[ "hep-th", "math.QA" ]
D. B. Uglov
hep-th/9302129
The Spectrum of Topologically Massive Quantum Electrodynamics
We discuss the possibility for the spectrum of topologically massive quantum electrodynamics with spinor matter fields to contain unexpected and unusual stable particle excitations for certain values of the topological photon mass. The new field theoretical phenomena arising from this novel spectral structure are brief...
1993-02-26
2015-06-26
[ "hep-th" ]
Mikhail I. Dobroliubov, David Eliezer, Ian I. Kogan, Gordon W. Semenoff and Richard J. Szabo
hep-th/9302136
Algebraic characterization of the Wess-Zumino consistency conditions in gauge theories
A new way of solving the descent equations corresponding to the Wess-Zumino consistency conditions is presented. The method relies on the introduction of an operator $\delta$ which allows to decompose the exterior space-time derivative $d$ as a $BRS$ commutator. The case of the Yang-Mills theories is treated in detail.
1993-02-26
2009-10-22
[ "hep-th" ]
S. P. Sorella
hep-th/9302133
Transfer Matrix Formalism for Two-Dimensional Quantum Gravity and Fractal Structures of Space-time
We develop a transfer matrix formalism for two-dimensional pure gravity. By taking the continuum limit, we obtain a "Hamiltonian formalism'' in which the geodesic distance plays the role of time. Applying this formalism, we obtain a universal function which describes the fractal structures of two dimensional quantum gr...
1993-02-26
2009-10-22
[ "hep-th", "hep-lat" ]
H. Kawai, N. Kawamoto, T. Mogami and Y. Watabiki
hep-th/9302123
Adler-Bardeen theorem and vanishing of the gauge beta function
The proof of the non-renormalization theorem for the gauge anomaly of four-dimensional theories is extended to the case of models with a vanishing one-loop gauge beta function.
1993-02-25
2009-10-22
[ "hep-th" ]
O. Piguet and S.P. Sorella
hep-th/9302124
How Complete is the Classification of W-Symmetries ?
In 2D conformal quantum field theory, we continue a systematic study of W-algebras with two and three generators and their highest weight representations focussing mainly on rational models. We review the known facts about rational models of W(2,\delta)-algebras. Our new rational models of W-algebras with two generator...
1993-02-25
2009-10-22
[ "hep-th" ]
W. Eholzer, A. Honecker, R. Huebel
hep-th/9302122
On the finiteness of the BRS modulo-d cocycles
Ladders of field polynomial differential forms obeying systems of descent equations and corresponding to observables and anomalies of gauge theories are renormalized. They obey renormalized descent equations. Moreover they are shown to have vanishing anomalous dimensions. As an application a simple proof of the nonreno...
1993-02-25
2009-10-22
[ "hep-th" ]
Olivier Piguet and Silvio P. Sorella
hep-th/9302125
Generalized Miura Transformations, Two-Boson KP Hierarchies and their Reduction to KDV Hierarchies
Bracket preserving gauge equivalence is established between several two-boson generated KP type of hierarchies. These KP hierarchies reduce under symplectic reduction (via Dirac constraints) to KdV, mKdV and Schwarzian KdV hierarchies. Under this reduction the gauge equivalence is taking form of the conventional Miura ...
1993-02-25
2015-06-26
[ "hep-th" ]
H. Aratyn, L.A. Ferreira, J.F. Gomes, R.T. Medeiros, and A.H. Zimerman
hep-th/9302128
On the problem of unboundedness from below of the spinor QED Hamiltonian
We show that the Hamiltonian $ h= H_{QED}+H_2$, where $H_{QED}$ is the spinor QED Hamiltonian and $H_2$ is the positive transversal photon mass term, is unbounded from below if the electromagnetic coupling constant $e^2$ is small enough, $e^2<e^2_0 $, and the transversal photon squared mass parameter $M^2$ is not too l...
1993-02-25
2007-05-23
[ "hep-th" ]
L.G. Zastavenko
hep-th/9302115
On RSOS models associated to Lie algebras and RCFT
RSOS models based on the Lie algebras $B_m$, $C_m$ and $D_m$ are derived from the braiding of conformal field theory. This gives the first systematic derivation of these models earlier described by Jimbo et al. The general two field Boltzmann weights associated to any RCFT are described, giving in particular the off cr...
1993-02-24
2009-10-22
[ "hep-th" ]
Doron Gepner
hep-th/9302117
Equations of Motion for Spinning Particles in External\\Electromagnetic and Gravitational Fields
The equations of motion for the position and spin of a classical particle coupled to an external electromagnetic and gravitational potential are derived from an action principle. The constraints insuring a correct number of independent spin components are automatically satisfied. In general the spin is not Fermi-Walker...
1993-02-24
2009-10-22
[ "hep-th" ]
Karl Yee and Myron Bander
hep-th/9302121
Multiple Chern-Simons Fields on a Torus
Intertwined multiple Chern-Simons gauge fields induce matrix statistics among particles. We analyse this theory on a torus, focusing on the vacuum structure and the Hilbert space. The theory can be mimicked, although not completely, by an effective theory with one Chern-Simons gauge field. The correspondence between th...
1993-02-24
2010-11-01
[ "hep-th", "cond-mat" ]
D. Wesolowski, Y. Hosotani, and C.-L. Ho
hep-th/9302114
The covariant scattering and cohomology of $W_3$ strings
A general formalism for covariant $W_3$ string scattering is given. It is found necessary to use screening charges that are constructed from the $W_3$ fields including ghosts. The scattering amplitudes so constructed contain within them Ising model correlation functions and agree with those found previously by the auth...
1993-02-24
2015-06-26
[ "hep-th" ]
Michael Freeman & Peter West
hep-th/9302119
Light-Front QCD: Role of Longitudinal Boundary Integrals
In the canonical light-front QCD, the elimination of unphysical gauge degrees of freedom leads to a set of boundary integrals which are associated with the light-front infrared singularity. We find that a consistent treatment of the boundary integrals leads to the cancellation of the light-front linear infrared diverge...
1993-02-24
2009-10-22
[ "hep-th" ]
Wei-Min Zhang and Avaroth Harindranath
hep-th/9302118
We Are Not Stuck With Gluing
We show that the construction of Ocneanu, which yields 1 for any 4D manifold, is not identical to our construction, which gives different numbers for different manifolds.
1993-02-24
2008-02-03
[ "hep-th", "math.QA" ]
David N. Yetter and Louis Crane
hep-th/9302116
Aharonov-Bohm Scattering, Contact Interactions and Scale Invariance
We perform a perturbative analysis of the Aharonov-Bohm problem to one loop in a field-theoretic formulation, and show that contact interactions are necessary for renormalizability. In general, the classical scale invariance of this problem is broken quantum mechanically. There exists however a critical point for which...
1993-02-24
2009-10-22
[ "hep-th" ]
O. Bergman and G. Lozano
hep-th/9302120
Condensates and Singularities in String Theory
We derive a class of solutions to the string sigma-model equations for the closed bosonic string. The tachyon field is taken to form a constant condensate and the beta-function equations at one-loop level are solved for the evolution of the metric and the dilaton. The solutions represent critical string theories in arb...
1993-02-24
2009-09-25
[ "hep-th" ]
Alan Kostelecky and Malcolm Perry
hep-th/9302112
Reaction-Diffusion Processes, Critical Dynamics and Quantum Chains
The master equation describing non-equilibrium one-dimensional problems like diffusion limited reactions or critical dynamics of classical spin systems can be written as a Schr\"odinger equation in which the wave function is the probability distribution and the Hamiltonian is that of a quantum chain with nearest neighb...
1993-02-23
2016-09-06
[ "hep-th", "cond-mat", "hep-lat" ]
Francisco C. Alcaraz, Michel Droz, Malte Henkel and Vladimir Rittenberg
hep-th/9302110
Lectures on W-Gravity, W-Geometry and \W-Strings
Lectures given at the Trieste Summer School, 1992. These notes are an update of my review article "Classical and Quantum W-Gravity", preprint QMW-92-1, published in in "Strings and Symmetries 1991", with some extra material on W-geometry, W-symmetry in conformal field theory and W-strings.
1993-02-23
2007-05-23
[ "hep-th" ]
C.M. Hull
hep-th/9302109
Charge Quantization of Axion-Dilaton Black Holes
We present axion-dilaton black-hole and multi-black-hole solutions of the low-energy string effective action. Under $SL(2,R)$ electric-magnetic duality rotations only the ``hair" (charges and asymptotic values of the fields) of our solutions is transformed. The functional form of the solutions is duality-invariant. Axi...
1993-02-23
2009-10-22
[ "hep-th" ]
Renata Kallosh and Tomas Ortin
hep-th/9302113
Division algebras, Galois fields, quadratic residues
Intended for mathematical physicists interested in applications of the division algebras to physics, this article highlights some of their more elegant properties with connections to the theories of Galois fields and quadratic residues.
1993-02-23
2008-02-03
[ "hep-th", "math.RA" ]
Geoffrey Dixon
hep-th/9302111
Anyonic Realization of $SU_q(N)$ Quantum Algebra
By considering a set of $N$ anyonic oscillators ( non-local, intrinsic two-dimensional objects interpolating between fermionic and bosonic oscillators) on a two-dimensional lattice, we realize the $SU_q(N)$ quantum algebra by means of a generalized Schwinger construction. We find that the deformation parameter $q$ of t...
1993-02-23
2009-10-22
[ "hep-th" ]
Raffaele Caracciolo and Marco A. R-Monteiro
hep-th/9302102
Yangians and Gelfand-Zetlin bases
We establish a relationship between the modern theory of Yangians and the classical construction of the Gelfand-Zetlin bases for the complex Lie algebra $\gn$. Our approach allows us to produce the $q$-analogues of the Gelfand-Zetlin formulae in a straightforward way.
1993-02-22
2008-02-03
[ "hep-th", "math.QA" ]
M. Nazarov and Vitaly Tarasov
hep-th/9302104
QCD at High Energies and Two-Dimensional Field Theory
Previous studies of high-energy scattering in QCD have shown a remarkable correspondence with two-dimensional field theory. In this paper we formulate a simple effective model in which this two-dimensional nature of the interactions is manifest. Starting from the (3+1)-dimensional Yang-Mills action, we implement the hi...
1993-02-22
2008-02-03
[ "hep-th" ]
Herman Verlinde and Erik Verlinde
hep-th/9302100
Static Quark Potential from the Polyakov Sum over Surfaces
Using the Polyakov string ansatz for the rectangular Wilson loop we calculate the static potential in the semiclassical approximation. Our results lead to a well defined sum over surfaces in the range $1<d<25$.
1993-02-22
2010-11-01
[ "hep-th" ]
Zbigniew Jaskolski and Krzysztof A. Meissner
hep-th/9302099
Anomaly Cancellations and Open-String Theories
In models of oriented closed strings, anomaly cancellations are deeply linked to the {\it modular invariance} of the torus amplitude. If open and/or unoriented strings are allowed, there are no non-trivial modular transformations in the additional genus-one amplitudes (Klein bottle, annulus and M\"obius strip). As orig...
1993-02-22
2007-05-23
[ "hep-th" ]
Augusto Sagnotti
hep-th/9302108
Instantons, Monopoles, Strings and Fivebranes
We discuss three classes of solitonic solutions in string theory: instantons, monopoles and string-like solitons. Instantons may provide a nonperturbative understanding of the vacuum structure of string theory, while monopoles may appear in string predictions for grand unification. The particular monopole solution show...
1993-02-22
2007-05-23
[ "hep-th" ]
Ramzi R. Khuri
hep-th/9302105
Super Elliptic Curves
A detailed study is made of super elliptic curves, namely super Riemann surfaces of genus one considered as algebraic varieties, particularly their relation with their Picard groups. This is the simplest setting in which to study the geometric consequences of the fact that certain cohomology groups of super Riemann sur...
1993-02-22
2009-10-22
[ "hep-th", "alg-geom", "math.AG" ]
Jeffrey M. Rabin
hep-th/9302107
Residual Gauge Fixing in Light-Front QCD
Understanding the nontrivial features of light-front QCD is a central goal in current investigations of nonperturbative light-front field theory. We find that, with the choice of light-front gauge with antisymmetric boundary conditions for the field variables, the residual gauge freedom is fixed and the light-front QCD...
1993-02-22
2015-06-26
[ "hep-th" ]
Wei-Min Zhang and Avaroth Harindranth
hep-th/9302101
Quantum Gravity and Black Hole
The quantum theory of the spherically symmetric gravity in 3+1 dimensions is investigated. The functional measures are explicitly evaluated and the physical state conditions are derived by using the technique developed in two dimensional quantum gravity. Then the new features which are not seen in ADM formalism come ou...
1993-02-22
2007-05-23
[ "hep-th" ]
Ken-ji Hamada and Asato Tsuchiya
hep-th/9302106
Fields and Symmetries of 2D Strings
We describe some recent progress in understanding and formulating string theory which is based on extensive studies of strings in lower (D=2) dimension. At the center is a large $W_{\infty}$ symmetry that appears most simply in the matrix model picture. In turn the symmetry defines the dynamics giving Ward identities a...
1993-02-22
2007-05-23
[ "hep-th" ]
A. Jevicki (BROWN)
hep-th/9302103
Holomorphic Anomalies in Topological Field Theories
We study the stringy genus one partition function of $N=2$ SCFT's. It is shown how to compute this using an anomaly in decoupling of BRST trivial states from the partition function. A particular limit of this partition function yields the partition function of topological theory coupled to topological gravity. As an ap...
1993-02-22
2009-09-17
[ "hep-th", "alg-geom", "math.AG" ]
M.Bershadsky, S.Cecotti, H.Ooguri and C.Vafa, S.Katz
hep-th/9302098
On the Squeezed Vacuum States Corresponding to the General Two-Mode Bogolubov Transformation
In this paper the explicit form of the operator of transformation of the vacuum states for the general two-mode Bogolubov transformation is found
1993-02-21
2008-02-03
[ "hep-th", "cond-mat", "funct-an", "math.FA" ]
Oleg Mokhov
hep-th/9302097
An Introduction into the Feynman Path Integral
In this lecture a short introduction is given into the theory of the Feynman path integral in quantum mechanics. The general formulation in Riemann spaces will be given based on the Weyl- ordering prescription, respectively product ordering prescription, in the quantum Hamiltonian. Also, the theory of space-time transf...
1993-02-20
2007-05-23
[ "hep-th" ]
Christian Grosche
hep-th/9302088
Quantum Chains with U_q(SL(2)) Symmetry and Unrestricted Representations
We consider two-state (q^2=-1) and three-state (q^3=1) one-dimensional quantum spin chains with U_q(SL(2)) symmetry. Taking unrestricted representations (periodic, semi-periodic and nilpotent), we show which are the necessary conditions to obtain a Hermitian Hamiltonian.
1993-02-19
2009-10-22
[ "hep-th", "cond-mat", "math.QA" ]
Daniel Arnaudon and Vladimir Rittenberg
hep-th/9302091
Space-Time Supersymmetry of Extended Fermionic Strings in $2 + 2$ Dimensions
The $N=2$ fermionic string theory is revisited in light of its recently proposed equivalence to the non-compact $N=4$ fermionic string model. The issues of space-time Lorentz covariance and supersymmetry for the BRST quantized $N=2$ strings living in uncompactified $2 + 2$ dimensions are discussed. The equivalent local...
1993-02-19
2010-04-06
[ "hep-th" ]
S.V.Ketov
hep-th/9302086
Semi-infinite cohomology of W-algebras
We generalize some of the standard homological techniques to $\cW$-algebras, and compute the semi-infinite cohomology of the $\cW_3$ algebra on a variety of modules. These computations provide physical states in $\cW_3$ gravity coupled to $\cW_3$ minimal models and to two free scalar fields.
1993-02-19
2009-09-11
[ "hep-th", "math.QA" ]
P. Bouwknegt, J. McCarthy and K. Pilch
hep-th/9302090
Quantum Group Gauge Theories and Covariant Quantum Algebras
The algebraic formulation of the quantum group gauge models in the framework of the $R$-matrix approach to the theory of quantum groups is given. We consider gauge groups taking values in the quantum groups and noncommutative gauge fields transformed as comodules under the coaction of the gauge quantum group $ G_{q}$. ...
1993-02-19
2009-10-22
[ "hep-th" ]
A.P.Isaev and Z.Popowicz
hep-th/9302087
On the Uniqueness of the Newton-Wigner Position Operator
It is shown that the quantum position operator of Newton and Wigner for non-zero mass systems is uniquely determined if one imposes a quantum ''manifest covariance'' condition of the same type as the similar condition of Currie, Jordan and Sudarshan in the the framework of the Hamiltonian formalism.
1993-02-19
2007-05-23
[ "hep-th" ]
Dan Radu Grigore
hep-th/9302096
Quantum Purity at a Small Price: Easing a Black Hole Paradox
Following Hawking, it is usual to mimic the effect of collapse space-time geometry on quantum fields in a semi-classical approximation by imposing suitable boundary conditions at the origin of coordinates, which effectively becomes a moving mirror. Suitable mirror trajectories induces a close analogue to the radiance o...
1993-02-19
2007-05-23
[ "hep-th" ]
Frank Wilczek