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hep-th/9302093
Levinson's Theorem for Dirac Equation
Levinson's theorem for the Dirac equation is known in the form of a sum of positive and negative energy phase shifts at zero momentum related to the total number of bound states. In this letter we prove a stronger version of Levinson's theorem valid for positive and negative energy phase shifts separately. The surprisi...
1993-02-19
2009-10-22
[ "hep-th", "nucl-th" ]
Nathan Poliatzky
hep-th/9302092
Surgical invariants of four-manifolds
A new topological invariant of closed connected orientable four-dimensional manifolds is proposed. The invariant, constructed via surgery on a special link, is a four-dimensional counterpart of the celebrated SU(2) three-manifold invariant of Reshetikhin, Turaev and Witten.
1993-02-19
2008-02-03
[ "hep-th", "alg-geom", "math.QA" ]
B. Broda (U. Clausthal and U. Lodz)
hep-th/9302094
The Blob Algebra and the Periodic Temperley-Lieb Algebra
We determine the structure of two variations on the Temperley-Lieb algebra, both used for dealing with special kinds of boundary conditions in statistical mechanics models. The first is a new algebra, the `blob' algebra (the reason for the name will become obvious shortly!). We determine both the generic and all the ...
1993-02-19
2009-10-22
[ "hep-th" ]
Paul Martin and Hubert Saleur
hep-th/9302089
The Hidden Quantum Group of the 8-vertex Free Fermion Model: q-Clifford Algebras
We prove in this paper that the elliptic $R$--matrix of the eight vertex free fermion model is the intertwiner $R$--matrix of a quantum deformed Clifford--Hopf algebra. This algebra is constructed by affinization of a quantum Hopf deformation of the Clifford algebra.
1993-02-19
2009-10-22
[ "hep-th" ]
R.Cuerno, C.Gomez, E.Lopez and G.Sierra
hep-th/9302095
Algebras in Higher Dimensional Statistical Mechanics - the Exceptional Partition (MEAN Field) Algebras
We determine the structure of the partition algebra $P_n(Q)$ (a generalized Temperley-Lieb algebra) for specific values of $Q \in \C$, focusing on the quotient which gives rise to the partition function of $n$ site $Q$-state Potts models (in the continuous $Q$ formulation) in arbitrarily high lattice dimensions (the me...
1993-02-19
2009-10-22
[ "hep-th" ]
Paul Martin and Hubert Saleur
hep-th/9302082
Perturbation Theory in Two Dimensional Open String Field Theory
In this paper we develop the covariant string field theory approach to open 2d strings. Upon constructing the vertices, we apply the formalism to calculate the lowest order contributions to the 4- and 5- point tachyon--tachyon tree amplitudes. Our results are shown to match the `bulk' amplitude calculations of Bershads...
1993-02-18
2009-10-22
[ "hep-th" ]
Branko Urosevic (BROWN)
hep-th/9302083
Conformal sigma models corresponding to gauged Wess-Zumino-Witten theories
We develop a field-theoretical approach to determination of the background target space fields corresponding to general $G/H$ coset conformal theories described by gauged WZW models. The basic idea is to identify the effective action of a gauged WZW theory with the effective action of a sigma model. The derivation of t...
1993-02-18
2009-09-17
[ "hep-th" ]
A.A. Tseytlin
hep-th/9302084
Combinatorial expression for universal Vassiliev link invariant
The most general R-matrix type state sum model for link invariants is constructed. It contains in itself all R-matrix invariants and is a generating function for "universal" Vassiliev link invariants. This expression is more simple than Kontsevich's expression for the same quantity, because it is defined combinatoriall...
1993-02-18
2009-10-22
[ "hep-th", "math.QA" ]
Sergey Piunikhin (Harvard University)
hep-th/9302081
Threefold Family of Charged Spin-1/2 Dirac Bubbles
We extend Dirac's `extensible model of the electron' to include spin and family. $U(1)_{e.m.}$ charge conservation on the bubble is translated into a secondary $U(1)_{g}$ world-manifold gauge principle. Reflecting the secondary magnetic monopole configuration on spatial $S^2$, the harmonic excitations may furnish half ...
1993-02-18
2014-11-18
[ "hep-th", "hep-ph" ]
Aharon Davidson and Uzi Paz
hep-th/9302085
Difficulties of an Infrared Extension of Differential Renormalization
We investigate the possibility of generalizing differential renormalization of D.Z.Freedman, K.Johnson and J.I.Latorre in an invariant fashion to theories with infrared divergencies via an infrared $\tilde{R}$ operation. Two-dimensional $\sigma$ models and the four-dimensional $\phi^4$ theory diagrams with exceptional ...
1993-02-18
2009-10-22
[ "hep-th" ]
L.V.Avdeev, D.I.Kazakov and I.N.Kondrashuk
hep-th/9302080
Information Consumption by Reissner-Nordstrom Black Holes
The low-energy scattering of charged fermions by extremal magnetic Reissner-Nordstrom black holes is analyzed in the large-$N$ and $S$-wave approximations. It is shown that (in these approximations) information is carried into a causally inaccessible region of spacetime, and thereby effectively lost. It is also shown t...
1993-02-17
2009-09-17
[ "hep-th", "gr-qc" ]
A. Strominger and S.P. Trivedi
hep-th/9302076
Free Braided Differential Calculus, Braided Binomial Theorem and the Braided Exponential Map
Braided differential operators $\del^i$ are obtained by differentiating the addition law on the braided covector spaces introduced previously (such as the braided addition law on the quantum plane). These are affiliated to a Yang-Baxter matrix $R$. The quantum eigenfunctions $\exp_R(\vecx|\vecv)$ of the $\del^i$ (braid...
1993-02-17
2009-10-22
[ "hep-th", "math.QA" ]
Shahn Majid
hep-th/9302074
Renormalization-group improved effective potential for gauge theories in curved spacetime
The renormalization-group improved effective potential for an arbitrary renormalizable massless gauge theory in curved spacetime is found,thus generalizing Coleman-Weinberg's approach corresponding to flat space.Some explicit examples are considered,among of them:scalar self-interacting theory,scalar electrody namics,t...
1993-02-17
2009-09-17
[ "hep-th" ]
E. Elizalde and S.D. Odintsov
hep-th/9302078
Finite-Temperature Scalar Field Theory in Static de Sitter Space
The finite-temperature one-loop effective potential for a scalar field in the static de Sitter space-time is obtained. Within this framework, by using zeta-function regularization, one can get, in the conformally invariant case, the explicit expression for the stress tensor anomaly. Its value turns out to depend on the...
1993-02-17
2009-10-22
[ "hep-th" ]
D.V.Fursaev and G.Miele
hep-th/9302079
Fractional Superstring Tree Scattering Amplitudes
The spin-4/3 fractional superstring is characterized by a chiral algebra involving a spin-4/3 current on the world-sheet in addition to the energy-momentum tensor. These currents generate physical state conditions on the fractional superstring Fock space. Scattering amplitudes of these physical states are described whi...
1993-02-17
2007-05-23
[ "hep-th" ]
Philip Argyres
hep-th/9302075
Tachyon Splits the (d = 2 String) Black Hole Horizon and Turns it Singular
We present a static solution for $d = 2$ critical string theory including the tachyon $T$ but not its potential $V(T)$. This solution thus incorporates tachyon back reaction and, when $T = 0$, reduces to the black hole solution. When $T \neq 0$ one finds that (1) the Schwarzschild horizon of the above black hole splits...
1993-02-17
2010-11-01
[ "hep-th", "gr-qc" ]
S. Kalyana Rama
hep-th/9302077
WZW-Toda Reduction using the Casimir Operator
We construct a quantum Hamiltonian operator for the Wess-Zumino-Witten (WZW) model in terms of the Casimir operator. This facilitates the discussion of the reduction of the WZW model to Toda field theory at the quantum level and provides a very straightforward derivation of the quantum central charge for the Toda field...
1993-02-17
2009-10-22
[ "hep-th" ]
I. Jack and J. Panvel
hep-th/9302073
Kleinian Geometry and the N=2 Superstring
This paper is devoted to the exploration of some of the geometrical issues raised by the $N=2$ superstring. We begin by reviewing the reasons that $\beta$-functions for the $N=2$ superstring require it to live in a four-dimensional self-dual spacetime of signature $(--++)$, together with some of the arguments as to why...
1993-02-16
2009-10-07
[ "hep-th" ]
J. Barrett, G.W. Gibbons, M.J. Perry, C.N. Pope and P.J. Ruback
hep-th/9302071
Aspects of Fractional Superstrings
We investigate some issues relating to recently proposed fractional superstring theories with $D_{\rm critical}<10$. Using the factorization approach of Gepner and Qiu, we systematically rederive the partition functions of the $K=4,\, 8,$ and $16$ theories and examine their spacetime supersymmetry. Generalized GSO proj...
1993-02-16
2009-10-22
[ "hep-th" ]
Gerald B. Cleaver and Philip J. Rosenthal
hep-th/9302070
Nonsingular 2-D Black Holes and Classical String Backgrounds
We study a string-inspired classical 2-D effective field theory with {\it nonsingular} black holes as well as Witten's black hole among its static solutions. By a dimensional reduction, the static solutions are related to the $(SL(2,R)_{k}\otimes U(1))/U(1)$ coset model, or more precisely its $O\bigl((\alpha')^{0}\bigr...
1993-02-16
2009-10-22
[ "hep-th" ]
Piljin Yi
hep-th/9302072
Instantons and the Ground State of the Massive Schwinger Model
We study the massive Schwinger model, quantum electrodynamics of massive, Dirac fermions, in 1+1 dimensions; with space compactified to a circle. In the limit that transitions to fermion--anti-fermion pairs can be neglected, we study the full ground state. We focus on the effect of instantons which mediate tunnelling t...
1993-02-16
2009-10-22
[ "hep-th" ]
M. B. Paranjape and Robin Ross
hep-th/9302061
Quantum Canonical Transformations and Integrability: Beyond Unitary Transformations
Quantum canonical transformations are defined in analogy to classical canonical transformations as changes of the phase space variables which preserve the Dirac bracket structure. In themselves, they are neither unitary nor non-unitary. A definition of quantum integrability in terms of canonical transformations is prop...
1993-02-15
2010-11-01
[ "hep-th" ]
Arlen Anderson
hep-th/9302065
Dyonic Black Holes in String Theory
An exact solution of the low-energy string theory representing static, spherical symmetric dyonic black hole is found. The solution is labeled by their mass, electric charge, magnetic charge and asymptotic value of the scalar dilaton. Some interesting properties of the dyonic black holes are studied. In particular, the...
1993-02-15
2010-11-19
[ "hep-th" ]
Guang-Jiun Cheng, Rue-Ron Hsu and Wei-Fu Lin
hep-th/9302063
A Classically Singular Representation of $ su_q(n) $
A \rep of \sun, which diverges in the limit of \cl, is investigated. This is an infinite dimensional and a non-unitary \rep, defined for the real value of $ q, \ 0 < q < 1. $ Each \irrep is specified by $ n $ continuous variables and one discrete variable. This \rep gives a new solution of the Yang-Baxter equation, whe...
1993-02-15
2009-10-22
[ "hep-th" ]
N. Aizawa
hep-th/9302066
On the q-Deformed Hamiltonian Mechanics
We described the $q$-deformed phase space. The $q$-deformed Hamilton eqations of motion are derived and discussed. Some simple models are considered.
1993-02-15
2009-10-22
[ "hep-th" ]
P. Caban, A. Dobrosielski, A. Krajewska, Z. Walczak
hep-th/9302062
Quantum Canonical Transformations: Physical Equivalence of Quantum Theories
Two quantum theories are physically equivalent if they are related, not by a unitary transformation, but by an isometric transformation. The conditions under which a quantum canonical transformation is an isometric transformation are given.
1993-02-15
2010-11-01
[ "hep-th" ]
Arlen Anderson
hep-th/9302068
Energy Momentum Tensor in Conformal Field Theories Near a Boundary
The requirements of conformal invariance for the two point function of the energy momentum tensor in the neighbourhood of a plane boundary are investigated, restricting the conformal group to those transformations leaving the boundary invariant. It is shown that the general solution may contain an arbitrary function of...
1993-02-15
2009-10-22
[ "hep-th", "cond-mat" ]
D.M. McAvity and H. Osborn
hep-th/9302067
Canonical quantization approach to 2d gravity coupled to c<1 matter
We show that all important features of 2d gravity coupled to $c<1$ matter can be easily understood from the canonical quantization approach a la Dirac. Furthermore, we construct a canonical transformation which maps the theory into a free-field form, i.e. the constraints become free-field Virasoro generators with backg...
1993-02-15
2009-01-16
[ "hep-th" ]
A. Mikovic
hep-th/9302064
q-deformed superconformal algebra on quantum superspace
A quantum deformation of 4-dimensional superconformal algebra realized on quantum superspace is investigated. We study the differential calculus and the action of the quantum generators corresponding to $sl_q(1|4)$ which act on the quantum superspace. We derive deformed $su(1|2,2)$ algebras from the deformed $sl(1|4)$ ...
1993-02-15
2009-10-22
[ "hep-th" ]
Tatsuo Kobayashi and Tsuneo Uematsu
hep-th/9302069
Topology changing processes and symmetries of string effective action
Wormhole solutions corresponding to space-time geometries $R^1\times S^1\times S^2$ and $R^1\times S^3$ are obtained from reduced string effective action and the action is written in a manifestly $O(d,d)$ invariant form. A general treatment is given for obtaining wormhole solutions of different topologies from dimensio...
1993-02-14
2009-10-22
[ "hep-th" ]
S. Pratik Khastgir and Jnanadeva Maharana
hep-th/9302058
Construction of String Solutions around Non-trivial Backgrounds
We present a way of constructing string solutions around non-trivial gravitational backgrounds. The proposed solutions are constructed using $N = 4$ superconformal building blocks with $\hat c = 4$. We give two different and inequivalent realizations of non-trivial four-dimensional subspaces, and we show the emergence ...
1993-02-14
2007-05-23
[ "hep-th" ]
Costas Kounnas
hep-th/9302059
Free field resolution for nonunitary representations of N=2 SuperVirasoro
We study N=2 SuperVirasoro SCFT for the generic value of the central charge. The main tool is the nonstandard bosonisation suggested in \ref\rRoz{L. Rozansky a letter to M. Bershadsky, 1989}, \ref\rSeBGR{B. Gato-Rivera, A. Semikhatov Phys. Letts. B293 (1992) 72},\ref\rBLNW{M. Bershadsky, W. Lerche, D. Nemeshansky, N. W...
1993-02-14
2016-09-06
[ "hep-th" ]
V. Sadov
hep-th/9302060
On the spectra of $\hat{sl}(N)_k/\hat{sl}(N)_k$-cosets and $W_N$ gravities
We study the spectra of G/G coset models by computing BRST cohomology of affine Lie algebras with coefficients in tensor product of two modules. One-to-one correspondence between the spectra of $A_1^1/A_1^1$ and that of the minimal matter coupled to gravity (including boundary states of the Kac table) is observed. This...
1993-02-14
2009-10-22
[ "hep-th" ]
Vladimir Sadov
hep-th/9302057
On a New Supersymmetric KdV Hierarchy in $2{-}d$ Quantum Supergravity
Recently a new supersymmetric extension of the KdV hierarchy has appeared in a matrix-model-inspired approach to $2{-}d$ quantum supergravity. Here we prove that this hierarchy is essentially the KdV hierarchy, where the KdV field is now replaced by an even superfield. This allows us to find the conserved charges and t...
1993-02-14
2020-10-19
[ "hep-th" ]
J.M. Figueroa-O'Farrill and S. Stanciu
hep-th/9302055
$\delta$-Function Perturbations and Boundary Problems by Path Integration
A wide class of boundary problems in quantum mechanics is discussed by using path integrals. This includes motion in half-spaces, radial boxes, rings, and moving boundaries. As a preparation the formalism for the incorporation of $\delta$-function perturbations is outlined, which includes the discussion of multiple $\d...
1993-02-13
2016-09-06
[ "hep-th" ]
Christian Grosche
hep-th/9302053
Classification of Solvable Feynman Path Integrals
A systematic classification of Feynman path integrals in quantum mechanics is presented and a table of solvable path integrals is given which reflects the progress made during the last ten years or so, including, of course, the main contributions since the invention of the path integral by Feynman in 1942. An outline o...
1993-02-13
2007-05-23
[ "hep-th" ]
Christian Grosche and Frank Steiner
hep-th/9302054
Path Integral Solution of a Class of Explicitly Time-Dependent Potentials
A specific class of explicitly time-dependent potentials is studied by means of path integrals. For this purpose a general formalism to treat explicitly time-dependent space-time transformations in path integrals is sketched. An explicit time-dependent model under consideration is of the form $V(q,t)=V[q/\zeta(t)]/\zet...
1993-02-13
2009-10-22
[ "hep-th" ]
Christian Grosche
hep-th/9302056
Selberg Supertrace Formula for Super Riemann Surfaces III: Bordered Super Riemann Surfaces
This paper is the third in a sequel to develop a super-analogue of the classical Selberg trace formula, the Selberg supertrace formula. It deals with bordered super Riemann surfaces. The theory of bordered super Riemann surfaces is outlined, and the corresponding Selberg supertrace formula is developed. The analytic pr...
1993-02-13
2009-10-22
[ "hep-th" ]
Christian Grosche
hep-th/9302047
Geometric Classification of Conformal Anomalies in Arbitrary Dimensions
We give a complete geometric description of conformal anomalies in arbitrary, (necessarily even) dimension. They fall into two distinct classes: the first, based on Weyl invariants that vanish at integer dimensions, arises from finite -- and hence scale-free -- contributions to the effective gravitational action throug...
1993-02-12
2008-11-26
[ "hep-th" ]
S. Deser and A. Schwimmer
hep-th/9302052
Strings in Curved Spacetimes
Progress on the physics of strings in curved spacetime are comprehensively reviewed.We start by showing through renormalization group arguments that a meaningful quantum theory of gravity must be finite and must include all particle physics.Then, we review classical and quantum string propagation in curved spacetimes.W...
1993-02-12
2008-02-03
[ "hep-th", "astro-ph", "gr-qc" ]
H. J. de Vega
hep-th/9302048
Topological Strings, Flat Coordinates and Gravitational Descendants
We discuss physical spectra and correlation functions of topological minimal models coupled to topological gravity. We first study the BRST formalism of these theories and show that their BRST operator $Q=Q_s+Q_v$ can be brought to $Q_s$ by a certain homotopy operator $U$, $UQU^{-1}=Q_s$ ($Q_s$ and $Q_v$ are the $N=2$ ...
1993-02-12
2009-10-22
[ "hep-th" ]
T. Eguchi, H. Kanno, Y. Yamada and S.-K. Yang
hep-th/9302050
Master Equations for Extended Lagrangian BRST Symmetries
Starting from the requirement that a Lagrangian field theory be invariant under both Schwinger-Dyson BRST and Schwinger-Dyson anti-BRST symmetry, we derive the BRST--anti-BRST analogue of the Batalin-Vilkovisky formalism. This is done through standard Lagrangian gauge fixing respecting the extended BRST symmetry. The s...
1993-02-12
2009-10-22
[ "hep-th" ]
P.H. Damgaard and F. De Jonghe
hep-th/9302049
On the BRST Operator Structure of the N=2 String
The BRST operator cohomology of $N=2$ $2d$ supergravity coupled to matter is presented. Descent equations for primary superfields of the matter sector are derived. We find one copy of the cohomology at ghost number one, two independent copies at ghost number two, and conjecture that there is a copy at ghost number thre...
1993-02-12
2009-10-22
[ "hep-th" ]
Amit Giveon and Martin Rocek
hep-th/9302051
One-loop effective potential on hyperbolic manifolds
The one-loop effective potential for a scalar field defined on an ultrastatic space-time whose spatial part is a compact hyperbolic manifold, is studied using zeta-function regularization for the one-loop effective action. Other possible regularizations are discussed in detail. The renormalization group equations are d...
1993-02-12
2011-05-12
[ "hep-th" ]
Guido Cognola, Klaus Kirsten and Sergio Zerbini
hep-th/9302044
Finite Lorentz Transformations, Automorphisms, and Division Algebras
We give an explicit algebraic description of finite Lorentz transformations of vectors in 10-dimensional Minkowski space by means of a parameterization in terms of the octonions. The possible utility of these results for superstring theory is mentioned. Along the way we describe automorphisms of the two highest dimensi...
1993-02-12
2009-10-22
[ "hep-th", "gr-qc" ]
Corinne A. Manogue and J\"org Schray
hep-th/9302042
A method for obtaining quantum doubles from the Yang-Baxter R-matrices
We develop the approach of Faddeev, Reshetikhin, Takhtajan [1] and of Majid [2] that enables one to associate a quasitriangular Hopf algebra to every regular invertible constant solution of the quantum Yang-Baxter equations. We show that such a Hopf algebra is actually a quantum double.
1993-02-11
2009-10-22
[ "hep-th", "math.QA" ]
A. A. Vladimirov
hep-th/9302041
Comment on Gravity and the Poincare Group
Following the approach of Grignani and Nardelli [1], we show how to cast the two-dimensional model $L \sim curv^2 + torsion^2 + cosm.const$ -- and in fact any theory of gravity -- into the form of a Poincare gauge theory. By means of the above example we then clarify the limitations of this approach: The diffeomorphism...
1993-02-11
2009-10-22
[ "hep-th" ]
Thomas Strobl
hep-th/9302043
On the Hopf algebras generated by the Yang-Baxter R-matrices
We reformulate the method recently proposed for constructing quasitriangular Hopf algebras of the quantum-double type from the R-matrices obeying the Yang-Baxter equations. Underlying algebraic structures of the method are elucidated and an illustration of its facilities is given. The latter produces an example of a ne...
1993-02-11
2009-10-22
[ "hep-th", "math.QA" ]
A. A. Vladimirov
hep-th/9302039
Free Field Realization of $N=2$ Super $W_{3}$ Algebra
We study the quantum $N=2$ super-$W_{3}$ algebra using the free field realization, which is obtained from the supersymmetric Miura transformation associated with the Lie superalgebra $A(2|1)$. We compute the full operator product expansions of the algebra explicitly. It is found that the results agree with those obtain...
1993-02-10
2009-10-22
[ "hep-th" ]
Katsushi Ito
hep-th/9302046
Constrained Dynamics of the Coupled Abelian Two-Form
I present the reduction of phase space of the theory of an antisymmetric tensor potential coupled to an abelian gauge field, using Dirac's procedure. Duality transformations on the reduced phase space are also discussed.
1993-02-10
2015-06-26
[ "hep-th" ]
Amitabha Lahiri,10
hep-th/9302040
Two-dimensional Black Hole With Torsion
The 2D model of gravity with zweibeins $e^{a}$ and the Lorentz connection one-form $\omega^{a}_{\ b}$ as independent gravitational variables is considered and it is shown that the classical equations of motion are exactly integrated in coordinate system determined by components of 2D torsion. For some choice of integra...
1993-02-10
2009-10-22
[ "hep-th" ]
S.N.Solodukhin
hep-th/9302038
SL(2, Z) Duality and Magnetically Charged Strings
Postulate of SL(2,\Z) invariance of toroidally compactified heterotic string theory in four dimensions implies the existence of new string (dual string) states carrying both, electric and magnetic charges. In this paper we study the interaction between these dual strings. In particular, we consider scattering of two su...
1993-02-10
2009-09-15
[ "hep-th" ]
Ashoke Sen
hep-th/9302031
White Noise and Heating of Open Quantum Field Fermi Systems
I study the time evolution of the density matrices of quantum Fermi systems interacting with classic external Fermi fields. This interaction either changes the temperature of the system or it affects the density of particles. For relativistic Dirac fermions, variations of temperature lead to creation (annihilation) of ...
1993-02-09
2007-05-23
[ "hep-th" ]
A.A.Abrikosov Jr
hep-th/9302045
Poincare invariance in temporal gauge canonical quantization and \(\theta\)-vacua
The Poincare invariance in the temporal gauge canonical quantization of QCD is shown manifestly by verifying the energy-momentum-vector and angular-momentum-tensor satisfy the Poincare algebra in the physical Hilbert space. Two different values of \(\theta\) for the $\theta$-term in QCD lagrangian lead to different rep...
1993-02-09
2015-06-26
[ "hep-th" ]
Hisashi Kikuchi
hep-th/9302029
Solving the Conformal Bootstrap: Four-Fermion Interactions at 2<d<4
We formulate the conformal bootstrap approach to four--fermion theory at its strong coupling fixed point in dimensions $2<d<4$. We present a solution of the bootstrap equations in the five--vertex approximation. We show that the bootstrap approach gives a particularly simple way to obtain next to leading order correcti...
1993-02-09
2007-05-23
[ "hep-th", "cond-mat" ]
Wei Chen (UBC), Yuri Makeenko (ITP) and Gordon W Semenoff (UBC)
hep-th/9302036
Two-Vierbein Formalism for String-Inspired Axionic Gravity
Using independent left and right vierbeins to describe graviton plus axion as suggested by string mechanics, O(d,d) duality can be realized linearly.
1993-02-09
2009-10-22
[ "hep-th" ]
W. Siegel
hep-th/9302032
Correlators in non-critical superstrings including the spinor emission vertex
We discuss the structure of correlators involving the spinor emission vertex in non critical $N=1$ superstring theory. The technique used in the computation is the zero mode integration to arrive at the integral representation, and later an analysis of the pole structure of the integrals which are thus obtained. Our an...
1993-02-09
2009-10-22
[ "hep-th" ]
D. Dalmazi and E. Abdalla
hep-th/9302037
Non-Singularity of the Exact Two-Dimensional String Black Hole
We study the global structure of the exact two-dimensional space-time which emerges from string theory. Previous work has shown that in the semi-classical limit, this is a black hole similar to the Schwarzschild solution. However, we find that in the exact case, a new Euclidean region appears "between" the singularity ...
1993-02-09
2009-10-22
[ "hep-th" ]
Malcolm J. Perry and Edward Teo
hep-th/9302035
The Quantum Group Structure of 2D Gravity and Minimal Models II: The Genus-Zero Chiral Bootstrap
The F and B matrices associated with Virasoro null vectors are derived in closed form by making use of the operator-approach suggested by the Liouville theory, where the quantum-group symmetry is explicit. It is found that the entries of the fusing and braiding matrices are not simply equal to quantum-group symbols, bu...
1993-02-09
2016-09-06
[ "hep-th" ]
E. Cremmer, Jean-Loup Gervais, J.-F. Roussel
hep-th/9302033
Exact Duality Symmetries in CFT and String Theory
There is substancial overlap with hepth-9211081. More results are presented for duality in the non-compact case. It is argued that duality persists as a symmetry also in that case.
1993-02-09
2009-10-22
[ "hep-th" ]
E. Kiritsis
hep-th/9302030
Hermitian Jordan Triple Systems, the Standard Model plus Gravity, and Alpha = 1/137.03608
A physical interpretation is given for some Hermitian Jordan triple systems (HJTS) that were recently discussed by Gunaydin (hep-th/9301050). Quadratic Jordan algebras derived from HJTS provide a formulation of quantum mechanics that is a natural framework within which exceptional structures are identified with physica...
1993-02-09
2007-05-23
[ "hep-th" ]
F. D. T. Smith
hep-th/9302034
On Calculation of 1/n Expansions of Critical Exponents in the Gross-Neveu Model with the Conformal Technique
A proof of critical conformal invariance of Green's functions for a quite wide class of models possessing critical scale invariance is given. A simple method for establishing critical conformal invariance of a composite operator, which has a certain critical dimension, is also presented. The method is illustrated with ...
1993-02-09
2008-02-03
[ "hep-th" ]
S.E. Derkachov, N.A. Kivel, A.S. Stepanenko, A.N. Vasiliev
hep-th/9302026
Poincar\'e Gauge Theory for Gravitational Forces in (1+1) Dimensions
We discuss in detail how string-inspired lineal gravity can be formulated as a gauge theory based on the centrally extended Poincar\'e group in $(1+1)$ dimensions. Matter couplings are constructed in a gauge invariant fashion, both for point particles and Fermi fields. A covariant tensor notation is developed in which ...
1993-02-08
2009-10-22
[ "hep-th", "gr-qc" ]
Daniel Cangemi and Roman Jackiw
hep-th/9302025
The Crumpling Transition of Dynamically Triangulated Random Surfaces
We present the crumpling transition in three-dimensional Euclidian space of dynamically triangulated random surfaces with edge extrinsic curvature and fixed topology of a sphere as well as simulations of a dynamically triangulated torus. We used longer runs than previous simulations and give new and more accurate estim...
1993-02-08
2009-10-22
[ "hep-th", "cond-mat", "hep-lat" ]
Christian M\"unkel and Dieter W. Heermann
hep-th/9302028
A note on simplicial dimension shifting
We discuss a simplicial dimension shift which associates to each n-manifold an n-1-manifold. As a corollary we show that an invariant which was recently proposed by Ooguri and by Crane and Yetter for the construction of 4-dimensional quantum field theories out of 3-dimensional theories is trivial.
1993-02-08
2008-02-03
[ "hep-th", "math.QA" ]
Adrian Ocneanu
hep-th/9302027
c=1 String Theory as a Topological G/G Model
The physical states on the free field Fock space of the ${SL(2,R)\over SL(2,R)$ model at any level are computed. Using a similarity transformation on $Q_{BRST}$, the cohomology of the latter is mapped into a direct sum of simpler cohomologies. We show a one to one correspondence between the states of the $k=-1$ model a...
1993-02-08
2019-08-15
[ "hep-th" ]
O. Aharony, O. Ganor, J. Sonnenschein and S. Yankielowicz
hep-th/9302024
Black Hole from Black Hole in Two Dimensions
We present a new class of quantum two dimensional dilaton gravity model, which is described by $SL(2,R)/U(1)$ gauged Wess-Zumino-Witten model deformed by $(1,1)$-operator. We analyze the model by ${1 \over k}$ expansion ($k$ is the level of $SL(2,R)$ Wess-Zumino-Witten model) and we find that the curvature singularity ...
1993-02-08
2007-05-23
[ "hep-th" ]
Shin'ichi Nojiri and Ichiro Oda
hep-th/9302023
The Calogero Model - Anyonic Representation, Fermionic Extension and Supersymmetry
We discuss several applications and extensions of our previous operator solution of the $N$-body Calogero problem, \ie N particles in 1 dimension subject to a two-body interaction of the form $\half \sum_{i,j}[ (x_i - x_j)^2 + g/ {(x_i - x_j)^2}]$. Using a complex representation of the deformed Heisenberg algebra under...
1993-02-07
2009-10-22
[ "hep-th" ]
L. Brink, T.H. Hansson, S. Konstein and M.A. Vasiliev
hep-th/9302022
A Unitary S-matrix for 2D Black Hole Formation and Evaporation
We study the black hole information paradox in the context of a two-dimensional toy model given by dilaton gravity coupled to $N$ massless scalar fields. After making the model well-defined by imposing reflecting boundary conditions at a critical value of the dilaton field, we quantize the theory and derive the quantum...
1993-02-07
2009-10-22
[ "hep-th" ]
Erik Verlinde and Herman Verlinde
hep-th/9302021
SU(2) and the Kauffman bracket
A direct relationship between the (non-quantum) group SU(2) and the Kauffman bracket in the framework of Chern-Simons theory is explicitly shown.
1993-02-06
2009-10-22
[ "hep-th", "math.QA" ]
Boguslaw Broda (U. Clausthal and U. Lodz)
hep-th/9302020
Spacetime Diffeomorphisms and Topological W-Infinity Symmetry in Two Dimensional Topological String Theory
This paper analyzes spacetime symmetries of topological string theory on a two dimensional torus, and points out that the spacetime geometry of the model is that of the Batalin-Vilkovisky formalism. Previously I found an infinite symmetry algebra in the absolute BRST cohomology of the model. Here I find an analog of th...
1993-02-05
2009-10-22
[ "hep-th" ]
Petr Horava
hep-th/9302018
Anyon Mean Field as an Exact Limit of a Gauge Theory
We summarize a study of an Abelian gauge theory in 2+1 dimensions, the gauge field being coupled to nonrelativistic Fermions. The Action for the gauge field is a combination of the Maxwell term and a Chern-Simons (CS) term. We study the limit of vanishing Fermions' charge, keeping fixed the gauge field mass induced by ...
1993-02-04
2009-10-22
[ "hep-th", "cond-mat" ]
Roberto Iengo
hep-th/9302019
Noncommutative Dymanics
We propose a new wiew on the structure of quantum mechanics and postulate a q-deformed algebra of observables. We find equations of motion for this system, which guarantee a unitary time developement. We solve this equations for simple models. We write this formalism in terms of twisted deRham complex.
1993-02-04
2007-05-23
[ "hep-th" ]
J. Rembielinski
hep-th/9302017
Curvature Singularity as the Vertex Operator
The submitted paper regards the example of the Conformal Field Theory on a 2d manifold which metric has a point-like singularity.Since this manifold is not conformally equivalent to that with the flat space-time metric,it's naturally to expect that the theory cannot be trivially reduced to the well-known consideration ...
1993-02-04
2009-10-22
[ "hep-th" ]
Dimitri Polyakov
hep-th/9302012
On the Geometrical Structure of Covariant Anomalies in Yang-Mills Theory
Covariant anomalies are studied in terms of the theory of secondary characteristic classes of the universal bundle of Yang-Mills theory. A new set of descent equations is derived which contains the covariant current anomaly and the covariant Schwinger term. The counterterms relating consistent and covariant anomalies a...
1993-02-03
2009-10-22
[ "hep-th" ]
Gerald Kelnhofer
hep-th/9302014
Matrix Model Calculations beyond the Spherical Limit
We propose an improved iterative scheme for calculating higher genus contributions to the multi-loop (or multi-point) correlators and the partition function of the hermitian one matrix model. We present explicit results up to genus two. We develop a version which gives directly the result in the double scaling limit an...
1993-02-03
2009-10-22
[ "hep-th" ]
J. Ambj{\o}rn, L. Chekhov, C.F. Kristjansen and Yu. Makeenko
hep-th/9302010
Quantum Particle on a Quantum Circle
We describe a $q$-deformed dynamical system corresponding to the quantum free particle moving along the circle. The algebra of observables is constructed and discussed. We construct and classify irreducible representations of the system.
1993-02-03
2010-11-01
[ "hep-th" ]
T. Brzezinski, J. Rembielinski, K.A. Smolinski
hep-th/9302011
A Conformal Affine Toda Model of 2D-Black Holes the End-Point State and the S-Matrix
In this paper we investigate in more detail our previous formulation of the dilaton-gravity theory by Bilal--Callan--de~Alwis as a $SL_2$-conformal affine Toda (CAT) theory. Our main results are: i) a field redefinition of the CAT-basis in terms of which it is possible to get the black hole solutions already known in t...
1993-02-03
2008-11-26
[ "hep-th" ]
F.Belgiorno, A.S.Cattaneo, M.Martellini and F.Fucito
hep-th/9302016
Quantization of the Closed Mini-Superspace Models as Bound States
Wheeler-DeWitt equation is applied to $k > 0$ Friedmann Robertson Walker metric with various types of matter. It is shown that if the Universe ends in the matter dominated era (e.g., radiation or pressureless gas) with zero cosmological constant, then the resulting Wheeler-DeWitt equation describes a bound state proble...
1993-02-03
2010-11-01
[ "hep-th", "astro-ph", "gr-qc" ]
Jong Hyun Kung
hep-th/9302013
Wave-type Solutions in the Nonlinear $\sigma$-model with the Dilaton
We study a class of classical dilaton vacua in string theory that depend on the light-cone variable $z=t\pm x$ and, thus, have wavelike behavior. One of the interesting results is the existence of a solution subclass with perfectly regular space-time geometry, where the string coupling constant can be made arbitrarily ...
1993-02-03
2008-02-03
[ "hep-th" ]
Eugene Tyurin
hep-th/9302015
Klein-Gordon-Langevin Quantum Geometry
We present a quantum geometric framework for stochastic quantisation in the case of a free Klein-Gordon field on Euclidean space. In this approach the noise is part of the background space, spacetime is fuzzy. We extend the notion of sharp point limit and show how fuzzy spacetime and the Klein-Gordon field gives the Eu...
1993-02-03
2015-06-26
[ "hep-th" ]
F. Vanderseypen
hep-th/9302009
Equilibrium Two-Dimensional Dilatonic Spacetimes
We study two-dimensional dilaton gravity coupled to massless scalar fields for static solutions. In addition to the well known black hole, we find another class of solutions that may be understood as that of the black hole in equilibrium with a radiation bath. We claim that there is a solution that is qualitatively unc...
1993-02-03
2009-10-22
[ "hep-th", "gr-qc" ]
Michael Crescimanno
hep-th/9302008
Parameter restrictions in a non-commutative geometry model do not survive standard quantum corrections
We have investigated the standard one-loop quantum corrections for a particularly simple non-commutative geometry model containing fermions interacting with a unique abelian gauge field and a unique scalar through Yukawa couplings. In this model there are certain relations among the different coupling constants quite s...
1993-02-02
2008-11-26
[ "hep-th" ]
E. Alvarez, J.M. Gracia-Bondia and C.P. Martin
hep-th/9302007
Vector Induced Lattice Gauge Theories
We consider vector induced lattice gauge theories, in particular we consider the QED induced and we show that at negative temperature corresponds to the dimer problem while at positive temperature it describes a gas of branched polymers with loops. We argue that these models are critical at $D_{cr}=6$ for $N\ne\infty$ ...
1993-02-02
2015-06-26
[ "hep-th" ]
Igor Pesando
hep-th/9302006
The Relation between Quantum W algebras and Lie algebras
By quantizing the generalized Drinfeld-Sokolov reduction scheme for arbitrary $sl_2$ embeddings we show that a large set $\cal W$ of quantum W algebras can be viewed as (BRST) cohomologies of affine Lie algebras. The set $\cal W$ contains many known $W$ algebras such as $W_N$ and $W_3^{(2)}$. Our formalism yields a com...
1993-02-02
2014-11-18
[ "hep-th" ]
Jan de Boer and Tjark Tjin
hep-th/9302005
Lagrangian and Hamiltonian Formalism on a Quantum Plane
We examine the problem of defining Lagrangian and Hamiltonian mechanics for a particle moving on a quantum plane $Q_{q,p}$. For Lagrangian mechanics, we first define a tangent quantum plane $TQ_{q,p}$ spanned by noncommuting particle coordinates and velocities. Using techniques similar to those of Wess and Zumino, we c...
1993-02-01
2009-10-22
[ "hep-th" ]
M. Lukin, A. Stern and I. Yakushin
hep-th/9302004
New Vector Field and BRST Charges in 2-form Einstein Gravity
A new vector field is introduced into 2-form Einstein gravity in four dimensions to restore a large symmetry of its topological version. Two different expressions for the BRST charge are given in the system: one of them associated with a set of irreducible symmetries and the other with a set of on-shell reducible symme...
1993-02-01
2009-10-22
[ "hep-th" ]
A. Nakamichi and T. Ueno
hep-th/9301132
On the Supersymplectic Homogeneous Superspace Underlying the OSp(1/2) Coherent States
In this work we extend Onofri and Perelomov's coherent states methods to the recently introduced $OSp(1/2)$ coherent states. These latter are shown to be parametrized by points of a supersymplectic supermanifold, namely the homogeneous superspace $OSp(1/2)/U(1)$, which is clearly identified with a supercoadjoint orbit ...
1993-02-01
2009-10-22
[ "hep-th" ]
Amine M. El Gradechi
hep-th/9302002
Off critical current algebras
We discuss the infinite dimensional algebras appearing in integrable perturbations of conformally invariant theories, with special emphasis in the structure of the consequent non-abelian infinite dimensional algebra generalizing $W_\infty$ to the case of a non abelian group. We prove that the pure left-symmetry as well...
1993-02-01
2015-06-26
[ "hep-th" ]
E. Abdalla, M.C.B. Abdalla, G. Sotkov, M. Stanishkov
hep-th/9302003
Momentum Analyticity and Finiteness of the 1-Loop Superstring Amplitude
The Type II Superstring amplitude to 1-loop order is given by an integral of $\vartheta$-functions over the moduli space of tori, which diverges for real momenta. We construct the analytic continuation which renders this amplitude well defined and finite, and we find the expected poles and cuts in the complex momentum ...
1993-02-01
2009-10-22
[ "hep-th" ]
Eric D'Hoker and D.H. Phong
hep-th/9302001
Spin-Anisotropy Commensurable Chains: Quantum Group Symmetries and N=2 SUSY
In this paper we consider a class of the 2D integrable models. These models are higher spin XXZ chains with an extra condition of the commensurability between spin and anisotropy. The mathematics underlying this commensurability is provided by the quantum groups with deformation parameter being an Nth root of unity. Ou...
1993-02-01
2009-10-22
[ "hep-th" ]
A.Berkovich, C.Gomez, G.Sierra
hep-th/9301129
Physical Properties of Four Dimensional Superstring Gravity Black Hole Solutions
We consider the physical properties of four dimensional black hole solutions to the effective action describing the low energy dynamics of the gravitational sector of heterotic superstring theory. We compare the properties of the external field strengths in the perturbative solution to the full $O(\alpha')$ string effe...
1993-01-31
2009-09-15
[ "hep-th", "gr-qc", "hep-ph" ]
B. A. Campbell, N. Kaloper, R. Madden and K. A. Olive
hep-th/9301130
Bosonisation in any dimension
The mechanism underlying any bosonisation or fermionisation is exposed.It is shown that any local theory of fermions on a lattice in any spatial dimension greater than one is equivalent to a local theory of Ising spins coupled to a $Z_{2}$ gauge field.There is a close relation to the description of anyons using a Chern...
1993-01-31
2007-05-23
[ "hep-th", "cond-mat", "hep-lat" ]
H.S.Sharatchandra
hep-th/9301131
Integrable Supersymmetry Breaking Perturbations of N=1,2 Superconformal Minimal Models
We display a new integrable perturbation for both N=1 and N=2 superconformal minimal models. These perturbations break supersymmetry explicitly. Their existence was expected on the basis of the classification of integrable perturbations of conformal field theories in terms of distinct classical KdV type hierarchies sha...
1993-01-31
2009-10-22
[ "hep-th" ]
D. Depireux and P. Mathieu
hep-th/9301128
Geometry and Physics on $w_{\infty}$ Orbits
We apply the coadjoint orbit technique to the group of area preserving diffeomorphisms (APD) of a 2D manifold, particularly to the APD of the semi-infinite cylinder which is identified with $w_{\infty}$. The geometrical action obtained is relevant to both $w$ gravity and 2D turbulence. For the latter we describe the ha...
1993-01-30
2016-09-06
[ "hep-th" ]
K.G.Selivanov
hep-th/9301126
BFV--BRST Analysis of the Classical and Quantum q-deformations of the sl(2) Algebra
BFV--BRST charge for q-deformed algebras is not unique. Different constructions of it in the classical as well as in the quantum phase space for the $q$-deformed algebra sl_q(2) are discussed. Moreover, deformation of the phase space without deforming the generators of sl(2) is considered. $\hbar$-q-deformation of the ...
1993-01-29
2011-07-19
[ "hep-th" ]
O. F. Dayi
hep-th/9301127
Automorphisms of the affine SU(3) fusion rules
We classify the automorphisms of the (chiral) level-k affine SU(3) fusion rules, for any value of k, by looking for all permutations that commute with the modular matrices S and T. This can be done by using the arithmetic of the cyclotomic extensions where the problem is naturally posed. When k is divisible by 3, the a...
1993-01-29
2010-11-01
[ "hep-th" ]
Philippe Ruelle
hep-th/9301124
O(3) Non-linear $\sigma$ model with Hopf term and Higher spin theories
Following our earlier work we argue in detail for the equivalence of the nonlinear $\sigma$ model with Hopf term at~$\theta=\pi/2s$ ~and an interacting spin-s theory. We give an ansatz for spin-s operators in the $\sigma$ model and show the equivalence of the correlation functions.We also show the relation between topo...
1993-01-29
2019-08-17
[ "hep-th" ]
T.R.Govindarajan, R.Shankar, N.Shaji and M.Sivakumar
hep-th/9301122
Hiding Anomalies
Anomalies can be anticipated at the classical level without changing the classical cohomology, by introducing extra degrees of freedom. In the process, the anomaly does not quite disappear. We show that, in fact, it is shifted to new symmetries that come with the extra fields.
1993-01-29
2009-10-22
[ "hep-th" ]
F. De Jonghe, R. Siebelink and W. Troost
hep-th/9301123
Algorithm for Computing the $\BETA$-Function of Quantum Electrodynamics in the Large N_f Expansion
By considering corrections to the asymptotic scaling functions of the photon and electron in quantum electrodynamics with $\Nf$ flavours, we solve the skeleton Dyson equations at $O(1/\Nf)$ in the large $\Nf$ expansion at the $d$-dimensional critical point of the theory and deduce the critical exponent $\beta^\prime(g_...
1993-01-29
2015-06-26
[ "hep-th" ]
J.A. Gracey