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hep-th/9212002
Two Dimensional Black Hole Evapolation in the Light-Cone Gauge
Quantization of the pure $1+1$ dimensional dilaton gravity is examined in the light-cone gauge. It is found that the total action including ghosts generates a $c=0$ free conformal field theory without modification of the classical action, which is required in the conformal gauge. We also study semiclassical equations o...
1992-12-01
2008-11-26
[ "hep-th" ]
Haruhiko Terao
hep-th/9211141
Level-Spacing Distributions and the Airy Kernel
Scaling level-spacing distribution functions in the ``bulk of the spectrum'' in random matrix models of $N\times N$ hermitian matrices and then going to the limit $N\to\infty$, leads to the Fredholm determinant of the sine kernel $\sin\pi(x-y)/\pi (x-y)$. Similarly a scaling limit at the ``edge of the spectrum'' leads ...
1992-12-01
2009-07-11
[ "hep-th", "cond-mat", "math-ph", "math.MP", "nlin.SI", "solv-int" ]
Craig A. Tracy and Harold Widom
hep-th/9211133
An Introduction to Yangian Symmetries
We review some aspects of the quantum Yangians as symmetry algebras of two-dimensional quantum field theories. The plan of these notes is the following: 1 - The classical Heisenberg model: Non-Abelian symmetries; The generators of the symmetries and the semi-classical Yangians; An alternative presentation of the se...
1992-11-30
2008-11-26
[ "hep-th" ]
Denis Bernard
hep-th/9211137
Dilogarithm identities and spectra in conformal field theory
We prove new identities between the values of Rogers dilogarithm function and describe a connection between these identities and spectra in conformal field theory.
1992-11-30
2008-02-03
[ "hep-th", "math.CA" ]
Anatol N. Kirillov
hep-th/9211139
Nonperturbative Conditions for Local Weyl Invariance on a Curved World Sheet
We investigate Weyl anomalies on a curved world sheet to second order in a weak field expansion. Using a local version of the exact renormalization group equations, we obtain nonperturbative results for the tachyon/graviton/dilaton system. We discuss the elimination of redundant operators, which play a crucial role for...
1992-11-30
2009-10-22
[ "hep-th" ]
Jens Schnittger and Ulrich Ellwanger
hep-th/9211134
S-Matrices of $\phi_{1,2}$ perturbed unitary minimal models: IRF-Formulation and Bootstrap-Program
We analyze the algebraic structure of $\phi_{1,2}$ perturbed minimal models relating them to graph-state models with an underlying Birman-Wenzl-Murakami algebra. Using this approach one can clarify some physical properties and reformulate the bootstrap equations. These are used to calculate the $S$-matrix elements of h...
1992-11-30
2015-06-26
[ "hep-th" ]
A. Koubek
hep-th/9211136
Quantum Models of Black Hole Evaporation
The discovery of black-hole evaporation represented in many respects a revolutionary event in scientific world; as such, in giving answers to open questions, it gave rise to new problems part of which are still not resolved. Here we want to make a brief review of such problems and examine some possible solutions. Invit...
1992-11-30
2022-09-21
[ "hep-th" ]
F.Belgiorno, A.S.Cattaneo, F.Fucito and M.Martellini
hep-th/9211140
A View From the Island
This is a brief and subjective description of ideas which formed our present field-theoretic understanding of fundamental physics.
1992-11-30
2007-05-23
[ "hep-th", "hep-ph" ]
A. Polyakov
hep-th/9211135
Quantum Gravity and Black Hole Dynamics in 1+1 Dimensions
We study the quantum theory of 1+1 dimensional dilaton gravity, which is an interesting toy model of the black hole dynamics. The functional measures are explicitly evaluated and the physical state conditions corresponding to the Hamiltonian and the momentum constraints are derived. It is pointed out that the constrain...
1992-11-30
2009-10-22
[ "hep-th", "gr-qc" ]
K. Hamada and A. Tsuchiya
hep-th/9211138
Fusion potentials I
We reconsider the conjecture by Gepner that the fusion ring of a rational conformal field theory is isomorphic to a ring of polynomials in $n$ variables quotiented by an ideal of constraints that derive from a potential. We show that in a variety of cases, this is indeed true with {\it one-variable} polynomials.
1992-11-30
2009-10-22
[ "hep-th" ]
P. Di Francesco and J.-B. Zuber
hep-th/9211132
On the Double Scaling Limit of O(N) Vector Models in d=2
Recent interest in large N matrix models in the double scaling limit raised new interest also in O(N) vector models. The limit $N \rightarrow \infty$, correlated with the limit $g \rightarrow g_c$, results in an expansion in terms of filamentary surfaces and explicit calculations can be carried out also in dimensions $...
1992-11-29
2009-10-22
[ "hep-th" ]
Paolo Di Vecchia and Moshe Moshe
hep-th/9211131
Large\bf $ w_{1+\infty} $--type constraints in two--matrix and Kontsevich model--different approach
The technique of $Q$-polinomials are used to derive the $w$- constraints in the two-matrix and Kontsevich-like model at finite $N$. These constraints are closed and form Lie algebra. They are associated with the matrices, $\lambda ^n{\partial}_\lambda^m$ with $n,m\geq 0$. In the case of two-matrix model they can be red...
1992-11-29
2007-05-23
[ "hep-th" ]
N.L.Khviengia
hep-th/9211129
Algebraically Special Class of Space-Times and (1+1)-Dimensional Field Theories
We present the (1+1)-dimensional description of the algebraically special class of space-times of 4-dimensions. It is described by the (1+1)-dimensional Yang-Mills action interacting with matter fields, with diffeomorphisms of 2-surface as the gauge symmetry. Parts of the constraints are identified as the gauge fixing ...
1992-11-28
2007-05-23
[ "hep-th", "gr-qc" ]
J. H. Yoon
hep-th/9211130
Automorphisms of W-Algebras and Extended Rational Conformal Field Theories
Many extended conformal algebras with one generator in addition to the Virasoro field as well as Casimir algebras have non-trivial outer automorphisms which enables one to impose `twisted' boundary conditions on the chiral fields. We study their effect on the highest weight representations. We give formulae for the enl...
1992-11-28
2009-10-22
[ "hep-th" ]
A. Honecker
hep-th/9211128
A classical N=4 super W_3 algebra
I construct classical superextensions of the Virasoro algebra by employing the Ward identities of a linearly realized subalgebra. For the $N=4$ superconformal algebra, this subalgebra is generated by the $N=2$ $U(1)$ supercurrent and a spin~0 $N=2$ superfield. I show that this structure can be extended to an $N=4$ supe...
1992-11-27
2015-06-26
[ "hep-th" ]
Robert Perret
hep-th/9211126
Separation of Variables in the Classical Integrable SL(3) Magnetic Chain
There are two fundamental problems studied by the theory of hamiltonian integrable systems: integration of equations of motion, and construction of action-angle variables. The third problem, however, should be added to the list: separation of variables. Though much simpler than two others, it has important relations to...
1992-11-26
2009-10-22
[ "hep-th", "nlin.SI", "solv-int" ]
E. K. Sklyanin
hep-th/9211127
Randomly Branched Polymers and Conformal Invariance
We argue that the field theory that descibes randomly branched polymers is not generally conformally invariant in two dimensions at its critical point. In particular, we show (i) that the most natural formulation of conformal invariance for randomly branched polymers leads to inconsistencies; (ii) that the free field t...
1992-11-26
2009-10-22
[ "hep-th" ]
Jeffrey Miller and Keith De'Bell
hep-th/9211124
Chiral Symmetry Breaking with the Curtis-Pennington Vertex
We study chiral symmetry breaking in quenched QED$_4$, using a vertex Ansatz recently proposed by Curtis and Pennington. Bifurcation analysis is employed to establish the existence of a critical coupling and to estimate its value. The main results are in qualitative agreement with the ladder approximation, the numerica...
1992-11-26
2009-10-22
[ "hep-th" ]
D. Atkinson, V.P. Gusynin and P. Maris
hep-th/9211125
R-matrices for highest weight representations of sl_q(2,C) at roots of unity
The general formula for R-matrices of slq(2,C) for the highest weight repre- sentations both for general q and for q being a root of unity by generalizing G.Gomez's and G.Sierra's one for semiperiodic representations of slq(2,C) at roots of unity is presented.
1992-11-26
2008-02-03
[ "hep-th", "math.QA" ]
T. S. Hakobyan and A. G. Sedrakyan
hep-th/9211123
Gauging octonion algebra
By consireding representation theory for non-associative algebras we construct the fundamental and adjoint representations of the octonion algebra. We then show how these representations by associative matrices allow a consistent octonionic gauge theory to be realised. We find that non-associativity implies the existen...
1992-11-26
2007-05-23
[ "hep-th" ]
A.K.Waldron and G.C.Joshi
hep-th/9211119
Topological Orbifold Models and Quantum Cohomology Rings
We discuss the toplogical sigma model on an orbifold target space. We describe the moduli space of classical minima for computing correlation functions involving twisted operators, and show, through a detailed computation of an orbifold of ${\bf CP}^1$ by the dihedral group $D_{4},$ how to compute the complete ring of ...
1992-11-25
2009-10-22
[ "hep-th" ]
Eric Zaslow
hep-th/9211118
Low-Energy Dynamics of String Solitons
The dynamics of a class of fivebrane string solitons is considered in the moduli space approximation. The metric on moduli space is found to be flat. This implies that at low energies the solitons do not interact, and their scattering is trivial. The range of validity of the approximation is also briefly discussed.
1992-11-25
2009-10-22
[ "hep-th" ]
Andrew G. Felce and T. M. Samols
hep-th/9211122
Coset Construction and Character Sumrules for the Doubly Extended $N=4$ Superconformal Algebras
Character sumrules associated with the realization of the $N=4$ superconformal algebra $\At$ on manifolds corresponding to the group cosets $SU(3)_{\ktp }/U(1)$ are derived and developed as an important tool in obtaining the modular properties of $\At$ characters as well as information on certain extensions of that alg...
1992-11-25
2009-10-22
[ "hep-th" ]
J.L. Petersen and A. Taormina
hep-th/9211120
Lift of dilogarithm to partition identities
For the whole set of dilogarithm identities found recently using the thermodynamic Bethe-Ansatz for the $ADET$ series of purely elastic scattering theories we give partition identities which involve characters of those conformal field theories which correspond to the UV-limits of the scattering theories. These partitio...
1992-11-25
2008-02-03
[ "hep-th" ]
Michael Terhoeven
hep-th/9211121
Topological Twist in Four Dimensions, R-Duality and Hyperinstantons
In this paper we continue the programme of topologically twisting N=2 theories in D=4, focusing on the coupling of vector multiplets to N=2 supergravity. We show that in the minimal case, namely when the special geometry prepotential F(X) is a quadratic polynomial, the theory has a so far unknown on shell U(1) symmetry...
1992-11-25
2010-11-02
[ "hep-th" ]
Damiano Anselmi and Pietro Fre'
hep-th/9211103
The Ashtekar Formalism and WKB Wave Functions of N=1,2 Supergravities
The N=1,2 supergravities with non-zero cosmological constants are investigated in the Ashtekar formalism. We solve the constraints of the N=1,2 supergravities semi-classically. The resulting WKB wave functions are expressed by exponentials of supersymmetric-extended SL(2,C) Chern-Simons functional.
1992-11-24
2007-05-23
[ "hep-th" ]
Takashi Sano
hep-th/9211116
CPT, Strings, and the $K \bar K$ System
This talk contains a summary of our work on dynamical CPT invariance and spontaneous CPT violation in string theories, including the possibility that stringy CPT violation could occur at levels detectable in the next generation of experiments. In particular, we present here an estimate for values of parameters for CPT ...
1992-11-24
2007-05-23
[ "hep-th", "hep-ph" ]
Alan Kostelecky and Robertus Potting
hep-th/9211106
Electromagnetic Interaction of Anyons in Non-Relativistic Quantum Field Theory
The non-relativistic quantum field theoretic lagrangian which describes an anyon system in the presence of an electromagnetic field is identified. A non-minimal magnetic coupling to the Chern-Simons statistical field as well as to the electromagnetic field together with a direct coupling between between both fields are...
1992-11-24
2012-03-15
[ "hep-th" ]
J.L. Cortes, J. Gamboa and L. Velazquez
hep-th/9211107
The Effective Action of $W_3$ Gravity to All Orders
The effective action for chiral $W_3$ gravity is studied. It is shown that the computation of the effective action can be reduced to that of a $SL(3,\re)$ Wess-Zumino-Witten theory. If one assumes that the effective action for the Wess-Zumino-Witten model is identical to the WZW action up to multiplicative renormalizat...
1992-11-24
2009-10-22
[ "hep-th" ]
Jan de Boer and Jacob Goeree
hep-th/9211115
Generalising the staircase models
Systems of integral equations are proposed which generalise those previously encountered in connection with the so-called staircase models. Under the assumption that these equations describe the finite-size effects of relativistic field theories via the Thermodynamic Bethe Ansatz, analytical and numerical evidence is g...
1992-11-24
2009-10-22
[ "hep-th" ]
Patrick Dorey and Francesco Ravanini
hep-th/9211104
The Non-perturbative Canonical Quantization of the N=1 Supergravity
The non-perturbative canonical quantization of the N=1 supergravity with the non-zero cosmological constant is studied using the Ashtekar formalism. A semi-classical wave function is obtained and it has the form of the exponential of the N=1 supersymmetric extension of the Chern-Simons functional. The N=1 supergravity ...
1992-11-24
2010-11-01
[ "hep-th" ]
Takashi Sano and Jun'ichi Shiraishi
hep-th/9211099
Non-Localizability and Asymptotic Commutativity
The mathematical formalism commonly used in treating nonlocal highly singular interactions is revised. The notion of support cone is introduced which replaces that of support for nonlocalizable distributions. Such support cones are proven to exist for distributions defined on the Gelfand-Shilov spaces $S^\beta$, where ...
1992-11-24
2010-11-01
[ "hep-th" ]
V. Ya. Fainberg, M. A. Soloviev
hep-th/9211101
\delta-expansion and self-consistent calculation
We compare results from $\delta$--expansion, in simple theories, with self--consistent calculations as well as calculations involving the principle of minimal sensitivity. We show that the latter methods give relatively more accurate results order by order.
1992-11-24
2007-05-23
[ "hep-th", "hep-ph" ]
Paulo F.Bedaque and Ashok Das
hep-th/9211102
Fermionic Quasi-Particle Representations for Characters of ${(G^{(1)})_1 \times (G^{(1)})_1 \o (G^{(1)})_2}$
We present fermionic quasi-particle sum representations for some of the characters (or branching functions) of ~${(G^{(1)})_1 \times (G^{(1)})_1 \o (G^{(1)})_2}$ ~for all simply-laced Lie algebras $G$. For given $G$ the characters are written as the partition function of a set of rank~$G$ types of massless quasi-partic...
1992-11-24
2009-10-22
[ "hep-th" ]
R. Kedem, T.R. Klassen, B.M. McCoy and E. Melzer
hep-th/9211114
Boundary K-Matrices for the Six Vertex and the n(2n-1) A_{n-1} Vertex Models
Boundary conditions compatible with integrability are obtained for two dimensional models by solving the factorizability equations for the reflection matrices $K^{\pm}(\theta)$. For the six vertex model the general solution depending on four arbitrary parameters is found. For the $A_{n-1}$ models all diagonal solutions...
1992-11-24
2009-10-22
[ "hep-th" ]
H.J. de Vega and A. Gonz\'alez Ruiz
hep-th/9211117
Black Extended Objects, Naked Singularities and P-Branes
We treat the horizons of charged, dilaton black extended objects as quantum mechanical objects. We show that the S matrix for such an object can be written in terms of a p-brane-like action. The requirements of unitarity of the S matrix and positivity of the p-brane tension equivalent severely restrict the number of sp...
1992-11-24
2010-12-17
[ "hep-th" ]
B. Harms and Y. Leblanc
hep-th/9211105
Cyclic monodromy matrices for sl(n) trigonometric R-matrices
The algebra of monodromy matrices for sl(n) trigonometric R-matrices is studied. It is shown that a generic finite-dimensional polynomial irreducible representation of this algebra is equivalent to a tensor product of L-operators. Cocommutativity of representations is discussed. A special class of representations - fac...
1992-11-24
2011-07-19
[ "hep-th", "math.QA", "nlin.SI", "solv-int" ]
Vitaly Tarasov
hep-th/9211108
KPZ Analysis for $W_3$ Gravity
Starting from the covariant action for $W_3$ gravity, we discuss the BRST quantization of $W_3$ gravity. Taking the chiral gauge the BRST charge has a natural interpretation in terms of the quantum Drinfeld--Sokolov reduction for $Sl(3,\re)$. Nilpotency of this charge leads to the KPZ formula for $W_3$. In the conforma...
1992-11-24
2009-10-22
[ "hep-th" ]
Jan de Boer and Jacob Goeree
hep-th/9211113
W-Gravity
The geometric structure of theories with gauge fields of spins two and higher should involve a higher spin generalisation of Riemannian geometry. Such geometries are discussed and the case of $W_\infty$-gravity is analysed in detail. While the gauge group for gravity in $d$ dimensions is the diffeomorphism group of the...
1992-11-24
2015-06-26
[ "hep-th" ]
C.M. Hull
hep-th/9211111
Quantum Inverse Scattering Method. Selected Topics
Four lectures given at Nankai Institute of Mathematics, Tianjin, China, 5--13 April 1991 present an elementary introduction into the quantum integrable models aimed for mathematical physicists and mathematicians. The stress is made on the algebraic aspects of the theory and the problem of determining the spectrum of qu...
1992-11-24
2015-11-12
[ "hep-th", "nlin.SI", "solv-int" ]
E. K. Sklyanin
hep-th/9211112
Free field representation of Toda field theories
We study the following problem: can a classical $sl_n$ Toda field theory be represented by means of free bosonic oscillators through a Drinfeld--Sokolov construction? We answer affirmatively in the case of a cylindrical space--time and for real hyperbolic solutions of the Toda field equations. We establish in fact a on...
1992-11-24
2015-06-26
[ "hep-th" ]
E.Aldrovandi, L.Bonora, V.Bonservizi, R.Paunov
hep-th/9211109
Representation theory of finite W algebras
In this paper we study the finitely generated algebras underlying $W$ algebras. These so called 'finite $W$ algebras' are constructed as Poisson reductions of Kirillov Poisson structures on simple Lie algebras. The inequivalent reductions are labeled by the inequivalent embeddings of $sl_2$ into the simple Lie algebra ...
1992-11-24
2009-10-22
[ "hep-th" ]
Jan de Boer and Tjark Tjin
hep-th/9211110
Low-Energy Effective Action of Superstring Theory
A fundamental task for the heterotic superstring theory is the determination of the effective action describing the physics of massless string excitations at low energies. This is necessary for the phenomenological applications of string theory, in particular for the unification of gauge interactions and for the gaugin...
1992-11-24
2007-05-23
[ "hep-th", "hep-ph" ]
T.R. Taylor
hep-th/9211098
The generalized KP hierarchy
We propose one possible generalization of the KP hierarchy, which possesses multi bi--hamiltonian structures, and can be viewed as several KP hierarchies coupled together.
1992-11-23
2015-06-26
[ "hep-th" ]
C.S.Xiong
hep-th/9211100
Foundations of Rational Quantum Field Theory, I
We study the connection between Rational Conformal Field Theory (RCFT), $N=2$ massive supersymmetric field theory, and solvable Interaction Round the Face (IRF) lattice models. Specifically, one identifies the fusion rings with the chiral rings. The theories so obtained are conjectured, and largely shown, to be integra...
1992-11-23
2018-11-05
[ "hep-th" ]
Doron Gepner (Weizmann Institute)
hep-th/9211097
On Classification of N=2 Supersymmetric Theories, (e-mail uncorrupted version)
We find a relation between the spectrum of solitons of massive $N=2$ quantum field theories in $d=2$ and the scaling dimensions of chiral fields at the conformal point. The condition that the scaling dimensions be real imposes restrictions on the soliton numbers and leads to a classification program for symmetric $N=2$...
1992-11-23
2009-10-22
[ "hep-th" ]
S. Cecotti and C. Vafa
hep-th/9211095
Dilaton Quantum Cosmology in Two Dimensions
We consider a renormalizable two-dimensional model of dilaton gravity coupled to a set of conformal fields as a toy model for quantum cosmology. We discuss the cosmological solutions of the model and study the effect of including the backreaction due to quantum corrections. As a result, when the matter density is below...
1992-11-22
2009-10-22
[ "hep-th", "gr-qc" ]
F.D. Mazzitelli and J.G. Russo
hep-th/9211094
Generalized Drinfeld-Sokolov Hierarchies and W-Algebras
We review the construction of Drinfeld-Sokolov type hierarchies and classical W-algebras in a Hamiltonian symmetry reduction framework. We describe the list of graded regular elements in the Heisenberg subalgebras of the nontwisted loop algebra based on $gl_n$ and deal with the associated hierarchies. We exhibit an $sl...
1992-11-22
2007-05-23
[ "hep-th" ]
L. Feher
hep-th/9211092
Asymptotic Freedom and Dirichlet String Theory, UR-1288, ER-40685-737
Fixed angle scattering at high energy in a string theory with boundaries satisfying Dirichlet conditions (Dirichlet strings) in $D=4$ is shown to have logarithmic dependence on energy, in addition to the power-like behavior known before. High temperature free energy also depends logarithmically on temperature. Such a r...
1992-11-21
2007-05-23
[ "hep-th", "hep-ph" ]
Zhu Yang
hep-th/9211096
On possible generalizations of field--antifield formalism
A generalized version is proposed for the field-antifield formalism. The antibracket operation is defined in arbitrary field-antifield coordinates. The antisymplectic definitions are given for first- and second-class constraints. In the case of second-class constraints the Dirac's antibracket operation is defined. The ...
1992-11-21
2008-11-26
[ "hep-th" ]
I. A. Batalin and I. V. Tyutin
hep-th/9211091
On the bootstrap structure of Yangian-invariant factorized S-matrices
It is pointed out that the apparent presence of the fusing rule for purely elastic scattering theories in theories with dynamical Yangian invariance implies beautiful and hitherto unseen structure in the finite-dimensional representation theory of Yangians.
1992-11-20
2007-05-23
[ "hep-th", "hep-ph" ]
N. J. MacKay
hep-th/9211090
Descendants constructed from matter fields in topological Landau-Ginzburg theories coupled to topological gravity
It is argued that gravitational descendants in Landau-Ginsburg theory coupled to topological gravity can be constructed from the matter fields only. For example, $\sigma_1 (\Phi) = V'\int \Phi$. This descendants turn out to be connected with K.Saito higher residue pairing. Naive computaitions are corrected with the hel...
1992-11-20
2011-04-20
[ "hep-th" ]
A.Lossev (ITEP)
hep-th/9211093
GLq(N)-Covariant Quantum Algebras and Covariant Differential Calculus
We consider GLq(N)-covariant quantum algebras with generators satisfying quadratic polynomial relations. We show that, up to some inessential arbitrariness, there are only two kinds of such quantum algebras, namely, the algebras with q-deformed commutation and q-deformed anticommutation relations. The connection with t...
1992-11-19
2010-11-01
[ "hep-th" ]
A.P.Isaev and P.N.Pyatov
hep-th/9211088
Gauge Conditions for the Constrained-WZNW--Toda Reductions
There is a constrained-WZNW--Toda theory for any simple Lie algebra equipped with an integral gradation. It is explained how the different approaches to these dynamical systems are related by gauge transformations. Combining Gauss decompositions in relevent gauges, we unify formulae already derived, and explictly deter...
1992-11-19
2009-10-22
[ "hep-th" ]
Jean-Loup Gervais, Lochlainn O'Raifeartaigh, Alexander V. Razumov, Mikhail V. Saveliev
hep-th/9211085
The One Dimensional Matrix Model and String Theory
We discuss the basic features of the double scaling limit of the one dimensional matrix model and its interpretation as a two dimensional string theory. Using the collective field theory formulation of the model we show how the fluctuations of the collective field can be interpreted as the massless "tachyon" of the two...
1992-11-19
2007-05-23
[ "hep-th" ]
Sumit R. Das
hep-th/9211089
Novel Flows beteen N=2 Landau-Ginzburg Theories: New Directions in Moduli Space via c=0 Theories
A new method for constructing flows between distinct Landau-Ginzburg theories at fixed central charge is presented. The essential ingredient of the construction is an enlarged moduli space obtained by adding theories with zero central charge. The flows involve only marginal directions hence they can be applied to trans...
1992-11-19
2007-05-23
[ "hep-th" ]
Rolf Schimmrigk
hep-th/9211087
Exchange Relations for the q-Vertex Operators of $U_q(\widehat{sl2})$
We consider the q-deformed Knizhnik-Zamolodchikov equation for the two point function of q-deformed vertex operators of $U_q(sl_2^)$. We give explicitly the fundamental solutions, the connection matrices and the exchange relations for the q-vertex operators of spin 1/2 and $j \in {1\over 2}{\bf Z}_{\geq 0}$. Consequent...
1992-11-19
2017-02-01
[ "hep-th" ]
Hidetoshi Awata
hep-th/9211086
The Renormalization Group for Flag Manifolds
The renormalization group equations for a class of non--relativistic quantum $\sigma$--models targeted on flag manifolds are given. These models emerge in a continuum limit of generalized Heisenberg antiferromagnets. The case of the ${SU(3)\over U(1)\times U(1)}$ manifold is studied in greater detail. We show that at z...
1992-11-19
2015-06-26
[ "hep-th" ]
S. Randjbar-Daemi and J. Strathdee
hep-th/9211079
Matrix Models and 2D Critical String Theory --2D Black Hole by c=1 Matrix Model--
(Lecture at the workshop "Basic Problems in String Theory", Yukawa Institute for Theoretical Physics, Kyoto, October 19-21) In this talk, we first review the possibility of matrix models toward a nonperturbative (critical) string theory. We then discuss whether the $c=1$ matrix model can describe the black hole solutio...
1992-11-18
2007-05-23
[ "hep-th" ]
Tamiaki Yoneya
hep-th/9211080
Equivalence of BRST cohomologies for 2-d black hole and c=1 Liouville theory
We study the relation between the $SL(2,R)/U(1)$ black hole and the $c=1$ Liouville theory. A deformation, which interpolates the BRST operators of both models, is explicitly constructed. This interpolation is isomorphic, and the physical spectrum of the black hole is equivalent to that of the $c=1$ model tensored by a...
1992-11-18
2009-10-22
[ "hep-th" ]
Hiroshi Ishikawa and Mitsuhiro Kato
hep-th/9211082
Two-dimensional dilaton gravity in a unitary gauge
Reduced phase space formulation of CGHS model of 2d dilaton gravity is studied in en extrinsic time gauge. The corresponding Hamiltonian can be promoted into a Hermitian operator acting in the physical Hilbert space, implying a unitary evolution for the system. Consequences for the black hole physics are discussed. In ...
1992-11-18
2009-01-16
[ "hep-th", "gr-qc" ]
A. Mikovic
hep-th/9211081
Exact Duality Symmetries in CFT and String Theory
The duality symmetries of WZW and coset models are discussed. The exact underlying symmetry responsible for semiclassical duality is identified with the symmetry under affine Weyl transformations. This identification unifies the treatement of duality symmetries and shows that in the compact and unitary case they are ex...
1992-11-18
2007-05-23
[ "hep-th" ]
E. Kiritsis
hep-th/9211083
Target Space Description of W-Infinity Symmetry in Coset Models
Various typos corrected
1992-11-18
2009-10-22
[ "hep-th" ]
I. Bakas and E. Kiritsis
hep-th/9211084
New Developments in Open - String Theories
The study of string models including both unoriented closed strings and open strings presents a number of new features when compared to the standard case of models of oriented closed strings only. We review some basic features of the construction of these models, describing in particular how gauge symmetry breaking can...
1992-11-18
2007-05-23
[ "hep-th" ]
Gianfranco Pradisi and Augusto Sagnotti
hep-th/9211077
Quantum algebras and Lie groups
Lie groups and quantum algebras are connected through their common universal enveloping algebra. The adjoint action of Lie group on its algebra is naturally extended to related q-algebra and q-coalgebra. In such a way, quantum structure can be dealt more or less as the Lie one and we do not need to introduce the not ea...
1992-11-17
2008-02-03
[ "hep-th", "math.QA" ]
Enrico Celeghini
hep-th/9211078
Off-shell string physics
Recent advances in non-critical string theory allow a unique continuation, preserving conformal invariance, of critical Polyakov string amplitudes to off-shell momenta. These continuations possess unusual, apparently stringy, characteristics, which are unlikely to be reproduced in a string field theory. Thus our result...
1992-11-17
2007-05-23
[ "hep-th" ]
Robert C. Myers and Vipul Periwal
hep-th/9211075
Interaction and modular invariance of strings on curved manifolds
We review and present new results for a string moving on an $SU(1,1)$ group manifold. We discuss two classes of theories which use discrete representations. For these theories the representations forbidden by unitarity decouple and, in addition, one can construct modular invariant partition functions. The partion funct...
1992-11-17
2007-05-23
[ "hep-th" ]
Stephen Hwang and Patrick Roberts
hep-th/9211076
Thermal Green's Functions from Quantum Mechanical Path Integrals
In this paper it is shown how the generating functional for Green's functions in relativistic quantum field theory and in thermal field theory can be evaluated in terms of a standard quantum mechanical path integral. With this calculational approach one avoids the loop-momentum integrals usually encountered in Feynman ...
1992-11-17
2011-07-19
[ "hep-th", "hep-ph" ]
D.G.C. McKeon and A. Rebhan
hep-th/9211068
A brief history of hidden quantum symmetries in Conformal Field Theories
We review briefly a stream of ideas concerning the role of quantum groups as hidden symmetries in conformal field theories, paying particular attention to the field theoretical representations of quantum groups based on Coulomb gas methods. An extensive bibliography is also included.
1992-11-16
2007-05-23
[ "hep-th" ]
Cesar Gomez and German Sierra
hep-th/9211073
On Modular Invariant Partition Functions for Tensor Products of Conformal Field Theories
We give two results concerning the construction of modular invariant partition functions for conformal field theories constructed by tensoring together other conformal field theories. First we show how the possible modular invariants for the tensor product theory are constrained if the allowed modular invariants of the...
1992-11-16
2009-10-22
[ "hep-th" ]
Gerald B. Cleaver and David C. Lewellen
hep-th/9211070
Self-Dual Yang-Mills and the Hamiltonian Structures of Integrable Systems
In recent years it has been shown that many, and possibly all, integrable systems can be obtained by dimensional reduction of self-dual Yang-Mills. I show how the integrable systems obtained this way naturally inherit bihamiltonian structure. I also present a simple, gauge-invariant formulation of the self-dual Yang-Mi...
1992-11-16
2016-09-06
[ "hep-th" ]
Jeremy Schiff
hep-th/9211067
BRST and Anti-BRST Quantization of Topological Yang-Mills Theory
(Withdrawn: This paper turns out incomplete and even misleading. I must apologize to all of the recipients.)
1992-11-16
2020-01-21
[ "hep-th" ]
Jae-Suk Park
hep-th/9211071
Conformal Symmetry and Universal Properties of Quantum Hall States
The low-lying excitations of a quantum Hall state on a disk geometry are edge excitations. Their dynamics is governed by a conformal field theory on the cylinder defined by the disk boundary and the time variable. We give a simple and detailed derivation of this conformal field theory for integer filling, starting from...
1992-11-16
2009-10-22
[ "hep-th", "cond-mat" ]
A.Cappelli, G.V.Dunne, C.A.Trugenberger and G.R.Zemba
hep-th/9211072
New Perspectives on the BRST-algebraic Structure of String Theory
Motivated by the descent equation in string theory, we give a new interpretation for the action of the symmetry charges on the BRST cohomology in terms of what we call {\em the Gerstenhaber bracket}. This bracket is compatible with the graded commutative product in cohomology, and hence gives rise to a new class of exa...
1992-11-16
2009-10-22
[ "hep-th" ]
Bong H. Lian and Gregg J. Zuckerman
hep-th/9211074
Multivalued Fields on the Complex Plane and Braid Group Statistics
We study in this paper a theory of free anyons associated to free conformal field theories defined on Riemann surfaces with a discrete and nonabelian group of authomorphisms. The particles are exchanged according to a nonabelian statistics, in which the $R-$matrix satisfy a multiparametric generalization of the usual Y...
1992-11-16
2015-06-26
[ "hep-th" ]
Franco Ferrari
hep-th/9211066
Difference equations for the correlation functions of the eight vertex model
We propose that the correlation functions of the inhomogeneous eight vertex model in the anti-ferroelectric regime satisfy a system of difference equations with respect to the spectral parameters. Solving the simplest difference equation we obtain the expression for the spontaneous staggered polarization conjectured by...
1992-11-16
2009-10-22
[ "hep-th", "nlin.SI", "solv-int" ]
M. Jimbo, T. Miwa, A. Nakayashiki
hep-th/9211069
Monstrous Moonshine and the uniqueness of the Moonshine module
In this talk we consider the relationship between the conjectured uniqueness of the Moonshine module of Frenkel, Lepowsky and Meurman and Monstrous Moonshine, the genus zero property for Thompson series discovered by Conway and Norton. We discuss some evidence to support the uniqueness of the Moonshine module by consid...
1992-11-16
2007-05-23
[ "hep-th" ]
Michael P. Tuite
hep-th/9211062
Clifford Algebra Derivation of the Characteristic Hypersurfaces of Maxwell's Equations
An alternative, pedagogically simpler derivation of the allowed physical wave fronts of a propagating electromagnetic signal is presented using geometric algebra. Maxwell's equations can be expressed in a single multivector equation using 3D Clifford algebra (isomorphic to Pauli algebra spinorial formulation of electro...
1992-11-14
2007-05-23
[ "hep-th", "gr-qc" ]
William M. Pezzaglia
hep-th/9211063
Topological Conformal Gravity in Four Dimensions
In this paper, we present a new formulation of topological conformal gravity in four dimensions. Such a theory was first considered by Witten as a possible gravitational counterpart of topological Yang-Mills theory, but several problems left it incomplete. The key in our approach is to realise a theory which describes ...
1992-11-14
2009-10-22
[ "hep-th" ]
Malcolm J. Perry and Edward Teo
hep-th/9211064
Infinite Tension Strings at D>1
A matrix model describing surfaces embedded in a Bethe lattice is considered. From the mean field point of view, it is equivalent to the Kazakov-Migdal induced gauge theory and therefore, at $N=\infty$ and $d>1$, the latter can be interpreted as a matrix model for infinite-tension strings. We show that, in the naive co...
1992-11-14
2009-10-22
[ "hep-th" ]
D.V. Boulatov
hep-th/9211061
Finite sigma models and exact string solutions with Minkowski signature metric
We consider $2d$ sigma models with a $D=2+N$ - dimensional Minkowski signature target space metric having a covariantly constant null Killing vector. These models are UV finite. The $2+N$-dimensional target space metric can be explicitly determined for a class of supersymmetric sigma models with $N$-dimensional `transv...
1992-11-13
2009-09-17
[ "hep-th" ]
A.A. Tseytlin
hep-th/9211060
On Macroscopic Energy Gap for $q$-Quantum Mechanical Systems
The q-deformed harmonic oscillator within the framework of the recently introduced Schwenk-Wess $q$-Heisenberg algebra is considered. It is shown, that for "physical" values $q\sim1$, the gap between the energy levels decreases with growing energy. Comparing with the other (real) $q$-deformations of the harmonic oscill...
1992-11-13
2016-08-14
[ "hep-th" ]
Ctirad Klim\v{c}\'ik and Eliza Klim\v{c}\'ik
hep-th/9211059
A tour through N=2 strings
I give an overview of open, closed and heterotic N=2 strings. At the tree level I derive the effective field theories of all the strings, and discuss the group theory of the N=2 open string and the interaction between its open and closed sectors. At one loop N=2 string loop amplitudes and partition functions have incur...
1992-11-13
2008-02-03
[ "hep-th" ]
Neil Marcus (U of Tel-Aviv)
hep-th/9211058
The Phase Structure of Strings with Extrinsic Curvature
We examine a model of non-self-avoiding, fluctuating surfaces as a candidate continuum string theory of surfaces in three dimensions. This model describes Dynamically Triangulated Random Surfaces embedded in three dimensions with an extrinsic curvature dependent action. We analyze, using Monte Carlo simulations, the dr...
1992-11-12
2007-05-23
[ "hep-th" ]
Mark Bowick, Paul Coddington, Leping Han, Geoff Harris and Enzo Marinari
hep-th/9211057
Black hole formation in $c=1$ String Field Theory
A suggestion on how black holes may appear in Das-Jevicki Collective field theory is given. We study the behaviour of a `test' particle when energy is sent into the system. A perturbation moving near the potential barrier can create a large-distance black hole geometry where the seeming curvature singularity is at the ...
1992-11-12
2009-10-22
[ "hep-th" ]
J. Russo
hep-th/9211056
Magnetic Monopoles in String Theory
Magnetic monopole solutions to heterotic string theory are discussed in toroidal compactifications to four spacetime dimensions. Particular emphasis is placed on the relation to previously studied fivebrane solutions in ten dimensions and on the possibility of constructing exact monopole solutions related to symmetric ...
1992-11-12
2010-11-01
[ "hep-th" ]
Jerome P. Gauntlett, Jeffrey A. Harvey and James T. Liu
hep-th/9211054
Canonical Quantization of Non-Einsteinian Gravity and the Problem of Time
For a 1+1 dimensional theory of gravity with torsion different approaches to the formulation of a quantum theory are presented. They are shown to lead to the same finite dimensional quantum system. Conceptual questions of quantum gravity like e.g.\ the problem of time are discussed in this framework.
1992-11-12
2010-04-06
[ "hep-th" ]
Peter Schaller and Thomas Strobl
hep-th/9211055
Dynamics of the conformal factor in 4D gravity
We argue that 4D gravity is drastically modified at distances larger than the horizon scale, due to the large infrared quantum fluctuations of the conformal part of the metric. The infrared dynamics of the conformal factor is generated by an effective action, induced by the trace anomaly of matter in curved space, anal...
1992-11-12
2007-05-23
[ "hep-th", "gr-qc" ]
I. Antoniadis
hep-th/9211052
Multivalued Fields on the Complex Plane and Conformal Field Theories
In this paper a class of conformal field theories with nonabelian and discrete group of symmetry is investigated. These theories are realized in terms of free scalar fields starting from the simple $b-c$ systems and scalar fields on algebraic curves. The Knizhnik-Zamolodchikov equations for the conformal blocks can be ...
1992-11-11
2009-10-22
[ "hep-th" ]
Franco Ferrari
hep-th/9211050
Some General Problems in Quantum Gravity II: The Three Dimensional Case
The general problems of three-dimensional quantum gravity are recatitulated here, putting the emphasis on the mathematical problems of defining the measure of the path integral over all three-dimensional metrics.This work should be viewed as an extension of a preceding one on the four dimensional case (\cite{kn:eav5}),...
1992-11-11
2009-10-22
[ "hep-th" ]
Enrique Alvarez
hep-th/9211048
Rigorous Analysis of Renormalization Group Pathologies in the 4-State Clock Model
We perform an exact renormalization-group analysis of one-dimensional 4-state clock models with complex interactions. Our aim is to provide a simple explicit illustration of the behavior of the renormalization-group flow in a system exhibiting a rich phase diagram. In particular we study the flow in the vicinity of pha...
1992-11-11
2009-10-22
[ "hep-th", "hep-lat" ]
M. Asorey, J.G. Esteve, R. Fernandez J. Salas
hep-th/9211065
Minimal deformations of the commutative algebra and the linear group GL(n)
We consider the relations of generalized commutativity in the algebra of formal series $ M_q (x^i ) $, which conserve a tensor $ I_q $-grading and depend on parameters $ q(i,k) $ . We choose the $ I_q $-preserving version of differential calculus on $ M_q$ . A new construction of the symmetrized tensor product for $ M_...
1992-11-11
2009-10-22
[ "hep-th", "math.QA" ]
B. M. Zupnik
hep-th/9211047
All Abelian Symmetries of Landau-Ginzburg Potentials
We present an algorithm for determining all inequivalent abelian symmetries of non-degenerate quasi-homogeneous polynomials and apply it to the recently constructed complete set of Landau--Ginzburg potentials for $N=2$ superconformal field theories with $c=9$. A complete calculation of the resulting orbifolds without t...
1992-11-11
2009-10-22
[ "hep-th" ]
Maximilian Kreuzer and Harald Skarke
hep-th/9211053
Form Factors for Integrable Lagrangian Field Theories, the Sinh-Gordon Model
Using Watson's and the recursive equations satisfied by matrix elements of local operators in two-dimensional integrable models, we compute the form factors of the elementary field $\phi(x)$ and the stress-energy tensor $T_{\mu\nu}(x)$ of Sinh-Gordon theory. Form factors of operators with higher spin or with different ...
1992-11-11
2009-10-22
[ "hep-th" ]
A. Fring, G. Mussardo, P. Simonetti
hep-th/9211051
Physical States in the $W_3$ String
We present a review of some of the recent developments in the study of the $W_3$ string. One of the interesting features of the theory is that the physical spectrum includes states with non-standard ghost structure, such as excitations of the ghost fields, both for discrete-momentum and continuous-momentum states. (Con...
1992-11-11
2007-05-23
[ "hep-th" ]
C.N. Pope
hep-th/9211049
Semiclassical Tunneling in 1+1 Dimensional String Theory
We describe time-dependent tunneling of massless particles in 1+1 dimensional string field theory. Polchinski's description of the classical solutions in terms of the Fermi sea is used to identify the leading instanton contribution connecting the two half-lines. The field theory lagrangian is proportional to $1/g^2$, w...
1992-11-11
2009-10-22
[ "hep-th" ]
Julian Lee and Paul F. Mende
hep-th/9211042
Self--Dual Supergravity and Supersymmetric Yang--Mills Coupled to Green--Schwarz Superstring
We present the {\it canonical} set of superspace constraints for self-dual supergravity, a ``self-dual'' tensor multiplet and a self-dual Yang-Mills multiplet with $~N=1~$ supersymmetry in the space-time with signature $(+,+,-,-)$. For this set of constraints, the consistency of the self-duality conditions on these mul...
1992-11-10
2009-10-22
[ "hep-th" ]
H. Nishino
hep-th/9211043
The Canonical Quantization in Terms of Quantum Group and Yang-Baxter Equation
In this paper it is shown that a quantum observable algebra, the Heisenberg-Weyl algebra, is just given as the Hopf algebraic dual to the classical observable algebra over classical phase space and the Plank constant is included in this scheme of quantization as a compatible parameter living in the quantum double theor...
1992-11-10
2007-05-23
[ "hep-th" ]
Chang-Pu Sun
hep-th/9211045
Free and Interacting 2-D Maxwell Field Theory on Conformally Flat Space Times
The free Maxwell field theory is quantized in the Lorentz gauge on a two dimensional manifold $M$ with conformally flat background metric. It is shown that in this gauge the theory is equivalent, at least at the classical level, to a biharmonic version of the bosonic string theory. This equivalence is exploited in orde...
1992-11-10
2010-04-06
[ "hep-th" ]
F.Ferrari
hep-th/9211044
Quantum Rolling Down out of Equilibrium
In a scalar field theory, when the tree level potential admits broken symmetry ground states, the quantum corrections to the static effective potential are complex. (The imaginary part is a consequence of an instability towards phase separation and the static effective potential is not a relevant quantity for understan...
1992-11-10
2009-10-22
[ "hep-th" ]
D. Boyanovsky and H. J. de Vega