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hep-th/9202051
Classical {\it vs.}\ Landau-Ginzburg Geometry of Compactification
We consider superstring compactifications where both the classical description, in terms of a Calabi-Yau manifold, and also the quantum theory is known in terms of a Landau-Ginzburg orbifold model. In particular, we study (smooth) Calabi-Yau examples in which there are obstructions to parametrizing all of the complex s...
1992-02-14
2010-11-01
[ "hep-th" ]
P.~Berglund, B.R.~Greene and T.~H\"ubsch
hep-th/9202050
The Marinari-Parisi Model and Collective Field Theory
We derive the supersymmetric collective field theory for the Marinari-Parisi model. For a specific choice of the superpotential, to leading order we find a one parameter family of ground states which can be connected via instantons. At this level of analysis the instanton size implied by the underlying matrix model doe...
1992-02-14
2015-06-26
[ "hep-th" ]
J.D. Cohn and H. Dykstra
hep-th/9202049
Non-critical NSR string field theory and discrete states interaction in 2D supergravity
String field theory for the non-critical NSR string is described. In particular it gives string field theory for the 2D super-gravity coupled to a $\hat{c}=1$ matter field. For this purpose double-step pictures changing operators for the non-critical NSR string are constructed. Analogues of the critical supersymmetry t...
1992-02-14
2007-05-23
[ "hep-th" ]
I.Ya.Aref'eva and A.P.Zubarev
hep-th/9202042
The two-dimensional O(3) nonlinear $\sigma$-model at finite temperature
We present a direct derivation of the thermodynamic integral equations of the O(3) nonlinear $\sigma$-model in two dimensions.
1992-02-13
2009-10-22
[ "hep-th" ]
Marcio J.Martins
hep-th/9202045
An Alternative Scenario for Non-Abelian Quantum Hair
Topologically charged black holes in a theory with a 2-form coupled to a non-abelian gauge field are investigated. It is found that the classification of the ground states is similar to that in the theory of non-abelian discrete quantum hair.
1992-02-13
2009-10-22
[ "hep-th" ]
Amitabha Lahiri
hep-th/9202044
Representation theory, topological field theory, and the Andrews-Curtis conjecture
We pose a representation-theoretic question motivated by an attempt to resolve the Andrews-Curtis conjecture. Roughly, is there a triangular Hopf algebra with a collection of self-dual irreducible representations $V_i$ so that the product of any two decomposes as a sum of copies of the $V_i$, and $\sum (\rank V_i)^2=0$...
1992-02-13
2008-02-03
[ "hep-th", "math.GR", "math.QA" ]
Frank Quinn
hep-th/9202043
Chiral Bosons Through Linear Constraints
We study in detail the quantization of a model which apparently describes chiral bosons. The model is based on the idea that the chiral condition could be implemented through a linear constraint. We show that the space of states is of indefinite metric. We cure this disease by introducing ghost fields in such a way tha...
1992-02-13
2009-10-22
[ "hep-th" ]
H.O. Girotti, M. Gomes and V.O. Rivelles
hep-th/9202038
A Topological Model for Two Dimensional Gravity Coupled to Matter
Starting from a topological gauge theory in two dimensions with symmetry groups $ISO(2,1)$, $SO(2,1)$ and $SO(1,2)$ we construct a model for gravity with non-trivial coupling to matter. We discuss the equations of motion which are connected to those of previous related models but incorporate matter content. We also dis...
1992-02-12
2009-10-22
[ "hep-th" ]
L. F. Cugliandolo, F. A. Schaposnik, H. Vucetich
hep-th/9202039
On the Classification of Quasihomogeneous Functions
We give a criterion for the existence of a non-degenerate quasihomogeneous polynomial in a configuration, i.e. in the space of polynomials with a fixed set of weights, and clarify the relation of this criterion to the necessary condition derived from the formula for the Poincar\'e polynomial. We further prove finitenes...
1992-02-12
2015-06-26
[ "hep-th" ]
Maximilian Kreuzer and Harald Skarke
hep-th/9202036
Holonomy groups and W-symmetries
Irreducible sigma models, i.e. those for which the partition function does not factorise, are defined on Riemannian spaces with irreducible holonomy groups. These special geometries are characterised by the existence of covariantly constant forms which in turn give rise to symmetries of the supersymmetric sigma model a...
1992-02-12
2009-10-09
[ "hep-th" ]
P.S. Howe and G. Papadopoulos
hep-th/9202037
Splitting of an Extremal Reissner-Nordstr\"om Throat via Quantum Tunneling
The interior near the horizon of an extremal Reissner-Nordstr\"om black hole is taken as an initial state for quantum mechanical tunneling. An instanton is presented that connects this state with a final state describing the presence of several horizons. This is interpreted as a WKB description of fluctuations due to t...
1992-02-12
2010-11-01
[ "hep-th" ]
Dieter R. Brill
hep-th/9202041
Exact Critical Exponents of the Staircase Model
The staircase model is a recently discovered one-parameter family of integrable two-dimensional continuum field theories. We analyze the novel critical behavior of this model, seen as a perturbation of a minimal conformal theory M_p: the leading thermodynamic singularities are simultaneously governed by all fixed point...
1992-02-12
2007-05-23
[ "hep-th" ]
Michael Lassig
hep-th/9202040
The Classical Limit of W-Algebras
We define and compute explicitly the classical limit of the realizations of $W_n$ appearing as hamiltonian structures of generalized KdV hierarchies. The classical limit is obtained by taking the commutative limit of the ring of pseudodifferential operators. These algebras---denoted $w_n$---have free field realizations...
1992-02-12
2009-10-22
[ "hep-th" ]
Jose M. Figueroa-O'Farrill and Eduardo Ramos
hep-th/9202034
Kinks in Finite Volume
A (1+1)-dimensional quantum field theory with a degenerate vacuum (in infinite volume) can contain particles, known as kinks, which interpolate between different vacua and have nontrivial restrictions on their multi-particle Hilbert space. Assuming such a theory to be integrable, we show how to calculate the multi-kink...
1992-02-11
2009-10-22
[ "hep-th" ]
Timothy R. Klassen and Ezer Melzer
hep-th/9202035
Remarks on the BRST-cohomology for $c_M > 1$ matter coupled to ``Liouville gravity"
We describe the (chiral) BRST-cohomology of matter with central charge $1<c_M<25$ coupled to a ``Liouville" theory, realized as a free field with a background charge $Q_L$ such that $c_M+c_L=26$. We consider two cases: a) matter is realized by one free field with an imaginary background charge, b) matter is realized by...
1992-02-11
2009-10-22
[ "hep-th" ]
Adel Bilal
hep-th/9202033
The Canonical Structure of Wess-Zumino-Witten Models
The phase space of the Wess-Zumino-Witten model on a circle with target space a compact, connected, semisimple Lie group $G$ is defined and the corresponding symplectic form is given. We present a careful derivation of the Poisson brackets of the Wess-Zumino-Witten model. We also study the canonical structure of the su...
1992-02-10
2009-10-09
[ "hep-th" ]
G. Papadopoulos and B. Spence
hep-th/9202032
Screening Currents Ward Identity and Integral Formulas for the WZNW Correlation Functions
We derive, based on the Wakimoto realization, the integral formulas for the WZNW correlation functions. The role of the ``screening currents Ward identity'' is demonstrated with explicit examples. We also give a more simple proof of a previous result.
1992-02-10
2008-11-26
[ "hep-th" ]
Hidetoshi Awata
hep-th/9202031
Black Holes in Higher Derivative Gravity Theories
We study static spherically symmetric solutions of Einstein gravity plus an action polynomial in the Ricci scalar, $R$, of arbitrary degree, $n$, in arbitrary dimension, $D$. The global properties of all such solutions are derived by studying the phase space of field equations in the equivalent theory of gravity couple...
1992-02-08
2010-11-19
[ "hep-th" ]
S. Mignemi & D.L. Wiltshire
hep-th/9202029
Spin Singlet Quantum Hall Effect and Nonabelian Landau-Ginzburg Theory
In this paper we present a theory of Singlet Quantum Hall Effect (SQHE). We show that the Halperin-Haldane SQHE wave function can be written in the form of a product of a wave function for charged semions in a magnetic field and a wave function for the Chiral Spin Liquid of neutral spin-$\12$ semions. We introduce fiel...
1992-02-08
2007-05-23
[ "hep-th" ]
Alexander Balatsky (Los Alamos National Laboratory,Theoretical Division and Landau Institute for Theoretical Physics, Moscow, USSR)
hep-th/9202023
The Emergence of Radiation from Gravitational Potential Wells: The Absence of $\omega M$ Effects
We consider a source of gravitational waves of frequency $\omega$, located near the center of a massive galaxy of mass $M$ and radius $R$, with $\omega\gg R^{-1}$. In the case of a perfect fluid galaxy, and of odd-parity waves, there is no direct matter-wave interaction and the propagation of the waves is affected by t...
1992-02-07
2009-10-22
[ "hep-th" ]
Richard H. Price and Jorge Pullin
hep-th/9202024
Spinning Braid Group Representation and the Fractional Quantum Hall Effect
The path integral approach to representing braid group is generalized for particles with spin. Introducing the notion of {\em charged} winding number in the super-plane, we represent the braid group generators as homotopically constrained Feynman kernels. In this framework, super Knizhnik-Zamolodchikov operators appear...
1992-02-07
2009-10-22
[ "hep-th" ]
Christopher Ting and C. H. Lai
hep-th/9202022
Recent Developments in Non-Perturbative Quantum Gravity
New results from the new variables/loop representation program of nonperturbative quantum gravity are presented, with a focus on results of Ashtekar, Rovelli and the author which greatly clarify the physical interpretation of the quantum states in the loop representation. These include: 1) The construction of a class o...
1992-02-07
2007-05-23
[ "hep-th" ]
Lee Smolin
hep-th/9202025
BRST Field Theory of Relativistic Particles
A generalization of BRST field theory is presented, based on wave operators for the fields constructed out of, but different from the BRST operator. We discuss their quantization, gauge fixing and the derivation of propagators. We show, that the generalized theories are relevant to relativistic particle theories in the...
1992-02-07
2011-07-19
[ "hep-th" ]
J.W. van Holten
hep-th/9202027
A Conformal Field Theory for the Quantum Hall Effect
The QHE is studied in the context of a CFT. An effective field of $N$ ``spins" associated with the cyclotron motion of particles is taken as an order parameter from which an effective Hamiltonian may be defined. This effective Hamiltonian describes the COM motion of the $N$ particles (with coupling $\kappa_0$) together...
1992-02-07
2007-05-23
[ "hep-th" ]
G. Nagao
hep-th/9202028
RG Flows of Non-Unitary Minimal CFTs
In this paper we study the renormalization group flow of the $(p,q)$ minimal (non-unitary) CFT perturbed by the $\Phi_{1,3}$ operator with a positive coupling. In the perturbative region $q>>(q-p)$, we find a new IR fixed point which corresponds to the $(2p-q,p)$ minimal CFT. The perturbing field near the new IR fixed ...
1992-02-07
2011-07-19
[ "hep-th" ]
Changrim Ahn
hep-th/9202026
$CP^N$ Model With a Chern-Simons Term
The $CP^N$ model in three euclidean dimensions is studied in the presence of a Chern-Simons term using the $1/N$ expansion. The $\beta$-function for the CS coefficient $\theta$ is found to be zero to order $1/N$ in the unbroken phase by an explicit calculation. It is argued to be zero to all orders. Some remarks on the...
1992-02-07
2015-06-26
[ "hep-th" ]
G. Ferretti and S.G. Rajeev
hep-th/9202030
Stochastic Quantization of the Chern-Simons Theory
We discuss Stochastic Quantization of $d$=3 dimensional non-Abelian Chern-Simons theory. We demonstrate that the introduction of an appropriate regulator in the Langevin equation yields a well-defined equilibrium limit, thus leading to the correct propagator. We also analyze the connection between $d$=3 Chern-Simons an...
1992-02-07
2015-06-26
[ "hep-th" ]
L.F. Cugliandolo, G.L. Rossini and F.A. Schaposnik
hep-th/9202021
The Master Equation of 2D String Theory
A general method is presented for deriving on-shell Ward-identities in (2D) string theory. It is shown that all tree-level Ward identities can be summarized in a quadratic differential equation for the generating function of tree-amplitudes. This result is extended to loop amplitudes and leads to a master equation {\it...
1992-02-06
2009-10-22
[ "hep-th" ]
Erik Verlinde
hep-th/9202020
Thermodynamic Bethe Ansatz for G_k x G_l / G_{k+l} Coset Models Perturbed by Their \phi_{1,1,Adj} Operator
We propose a Thermodynamic Bethe Ansatz (TBA) for G_k x G_l / G_{k+l} conformal coset models (G any simply-laced Lie algebra) perturbed by their operator \phi_{1,1,Adj}. An interesting adjacency structure appears and can be depicted in a sort of ``product'' of Dynkin diagrams of G and A_{k+l-1}. UV and IR limits are co...
1992-02-06
2009-10-22
[ "hep-th" ]
F.Ravanini
hep-th/9202019
D=0 Matrix Model as Conjugate Field Theory
The D=0 matrix model is reformulated as a 2d nonlocal quantum field theory. The interactions occur on the one-dimensional line of hermitian matrix eigenvalues. The field is conjugate to the density of matrix eigenvalues which appears in the Jevicki-Sakita collective field theory. The classical solution of the field equ...
1992-02-06
2009-10-22
[ "hep-th" ]
Shahar Ben-Menahem (SLAC)
hep-th/9202015
Interpolating String Field Theories
A minimal area problem imposing different length conditions on open and closed curves is shown to define a one parameter family of covariant open-closed quantum string field theories. These interpolate from a recently proposed factorizable open-closed theory up to an extended version of Witten's open string field theor...
1992-02-05
2015-06-26
[ "hep-th" ]
Barton Zwiebach
hep-th/9202016
Path Intergals and Perturbative Expansions for Non-Compact Symmetric Spaces
We show how to construct path integrals for quantum mechanical systems where the space of configurations is a general non-compact symmetric space. Associated with this path integral is a perturbation theory which respects the global structure of the system. This perturbation expansion is evaluated for a simple example ...
1992-02-05
2015-06-26
[ "hep-th" ]
Noah Linden and Malcolm Perry
hep-th/9202013
Deformed Conformal and Supersymmetric Quantum Mechanics
Within the standard quantum mechanics a q-deformation of the simplest N=2 supersymmetry algebra is suggested. Resulting physical systems do not have conserved charges and degeneracies in the spectra. Instead, superpartner Hamiltonians are q-isospectral, i.e. the spectrum of one can be obtained from another by the q^2-f...
1992-02-05
2015-06-26
[ "hep-th" ]
V.Spiridonov
hep-th/9202014
Black Holes as Elementary Particles
It is argued that the qualitative features of black holes, regarded as quantum mechanical objects, depend both on the parameters of the hole and on the microscopic theory in which it is embedded. A thermal description is inadequate for extremal holes. In particular, extreme holes of the charged dilaton family can have ...
1992-02-05
2009-10-22
[ "hep-th" ]
C.F.E. Holzhey and F. Wilczek
hep-th/9202018
Jones Polynomials for Intersecting Knots as Physical States of Quantum Gravity
We find a consistent formulation of the constraints of Quantum Gravity with a cosmological constant in terms of the Ashtekar new variables in the connection representation, including the existence of a state that is a solution to all the constraints. This state is related to the Chern-Simons form constructed from the A...
1992-02-05
2008-11-26
[ "hep-th" ]
Bernd Bruegmann, Rodolfo Gambini, Jorge Pullin
hep-th/9202017
Rational Curves on Calabi-Yau Threefolds
By considering mirror symmetry applied to conformal field theories corresponding to strings propagating in quintic hypersurfaces in projective 4-space, Candelas, de la Ossa, Green and Parkes calculated the ``number of rational curves on the hypersurface'' by comparing three point functions. Actually, the number of curv...
1992-02-05
2008-02-03
[ "hep-th", "math.AG" ]
Sheldon Katz
hep-th/9202009
String Theories on the Asymmetric Orbifolds with Twist-Untwist Intertwining Currents
We give various examples of asymmetric orbifold models to possess intertwining currents which convert untwisted string states to twisted ones, and vice versa, and see that such asymmetric orbifold models are severely restricted. The existence of the intertwining currents leads to the enhancement of symmetries in asymme...
1992-02-04
2008-11-26
[ "hep-th" ]
Y. Imamura, M. Sakamoto, T. Sasada and M. Tabuse
hep-th/9202010
Toward a Conformal Field Theory for the Quantum Hall Effect
An effective Hamiltonian for the study of the quantum Hall effect is proposed. This Hamiltonian, which includes a ``current-current" interaction has the form of a Hamiltonian for a conformal field theory in the large $N$ limit. An order parameter is constructed from which the Hamiltonian may be derived. This order para...
1992-02-04
2015-06-26
[ "hep-th" ]
G. Nagao
hep-th/9202011
Scattering and Thermodynamics of Integrable N=2 Theories
We study $N$=2 supersymmetric integrable theories with spontaneously-broken \Zn\ symmetry. They have exact soliton masses given by the affine $SU(n)$ Toda masses and fractional fermion numbers given by multiples of $1/n$. The basic such $N$=2 integrable theory is the $A_n$-type $N$=2 minimal model perturbed by the most...
1992-02-04
2009-10-22
[ "hep-th" ]
P. Fendley and K. Intriligator
hep-th/9202012
One-Dimensional Fermions as Two-Dimensional Droplets Via Chern-Simons Theory
Based on the observation that a particle motion in one dimension maps to a two-dimensional motion of a charged particle in a uniform magnetic field, constrained in the lowest Landau level, we formulate a system of one-dimen- sional nonrelativistic fermions by using a Chern-Simons field theory in 2+1 dimensions. Using a...
1992-02-04
2009-10-22
[ "hep-th" ]
Satoshi Iso, Dimitra Karabali and B. Sakita
hep-th/9202007
Construction of the K=8 Fractional Superconformal Algebras
We construct the K=8 fractional superconformal algebras. There are two such extended Virasoro algebras, one of which was constructed earlier, involving a fractional spin (equivalently, conformal dimension) 6/5 current. The new algebra involves two additional fractional spin currents with spin 13/5. Both algebras are no...
1992-02-03
2009-10-22
[ "hep-th" ]
Philip C. Argyres, James M. Grochocinski, and S.-H. Henry Tye
hep-th/9202008
Two Dimensional String Theory and the Topological Torus
We analyze topological string theory on a two dimensional torus, focusing on symmetries in the matter sector. Even before coupling to gravity, the topological torus has an infinite number of point-like physical observables, which give rise via the BRST descent equations to an infinite symmetry algebra of the model. The...
1992-02-03
2009-10-22
[ "hep-th" ]
Petr Horava
hep-th/9202004
Dynamics of Extremal Black Holes
Particle scattering and radiation by a magnetically charged, dilatonic black hole is investigated near the extremal limit at which the mass is a constant times the charge. Near this limit a neighborhood of the horizon of the black hole is closely approximated by a trivial product of a two-dimensional black hole with a ...
1992-02-03
2009-09-17
[ "hep-th" ]
S.B. Giddings and A. Strominger
hep-th/9202006
A Hint on the External Field Problem for Matrix Models
We reexamine the external field problem for $N\times N$ hermitian one-matrix models. We prove an equivalence of the models with the potentials $\tr{({1/over2N}X^2 + \log X - \Lambda X)}$ and $\sum_{k=1}^\infty t_k\tr{X^k}$ providing the matrix $\Lambda$ is related to $\{t_k\}$ by $t_k=\fr 1k \tr{\Lambda^{-k}}-\frac N2 ...
1992-02-03
2009-10-22
[ "hep-th" ]
L. Chekhov and Yu. Makeenko
hep-th/9202005
Exact Solutions of Four Dimensional Black Holes in String Theory
We construct an exact CFT as an SL(2,R)xSU(2)/U(1)^2 gauged WZW model, which describes a black hole in 4 dimensions. Another exact solution, describing a black membrane in 4D (in the sense that the event horizon is an infinite plane) is found as an SL(2,R)xU(1)^2/U(1) gauged WZW model. Finally, we construct an exact so...
1992-02-03
2009-10-22
[ "hep-th" ]
David Gershon
hep-th/9202003
Planck-Scale Physics and the Peccei-Quinn Mechanism
Global-symmetry violating higher-dimension operators, expected to be induced by Planck-scale physics, in general drastically alter the properties of the axion field associated with the Peccei-Quinn solution to the strong-CP problem, and render this solution unnatural. The particle physics and cosmology associated with ...
1992-02-02
2009-10-22
[ "hep-th" ]
Marc Kamionkowski and John March-Russell
hep-th/9202002
Chiral Gauged WZW Theories and Coset Models in Conformal Field Theory
The Wess-Zumino-Witten (WZW) theory has a global symmetry denoted by $G_L\otimes G_R$. In the standard gauged WZW theory, vector gauge fields (\ie\ with vector gauge couplings) are in the adjoint representation of the subgroup $H \subset G$. In this paper, we show that, in the conformal limit in two dimensions, there i...
1992-02-02
2010-01-08
[ "hep-th" ]
Stephen-wei Chung and S.-H. Henry Tye
hep-th/9202001
Fractional quantum Hall effect and nonabelian statistics
It is argued that fractional quantum Hall effect wavefunctions can be interpreted as conformal blocks of two-dimensional conformal field theory. Fractional statistics can be extended to nonabelian statistics and examples can be constructed from conformal field theory. The Pfaffian state is related to the 2D Ising model...
1992-02-02
2008-11-26
[ "hep-th" ]
N. Read and G. Moore
hep-th/9201081
Comments on Gauged WZW Models
Some remarks are made about free anomaly groups in gauged WZW models. Considering a quite general action, anomaly cancellation is analyzed. The possibility of gauging left and right sectors independently in some cases is remarked. In particular Toda theories can be seen as such a kind of models.
1992-01-31
2007-05-23
[ "hep-th" ]
Adrian R. Lugo
hep-th/9201080
Solutions of the Knizhnik - Zamolodchikov Equation with Rational Isospins and the Reduction to the Minimal Models
In the spirit of the quantum Hamiltonian reduction we establish a relation between the chiral $n$-point functions, as well as the equations governing them, of the $A_1^{(1)}$ WZNW conformal theory and the corresponding Virasoro minimal models. The WZNW correlators are described as solutions of the Knizhnik - Zamolodchi...
1992-01-31
2009-10-22
[ "hep-th" ]
P. Furlan, A. Ch. Ganchev, R. Paunov, V. B. Petkova
hep-th/9201078
New Jacobi-Like Identities for Z_k Parafermion Characters
We state and prove various new identities involving the Z_K parafermion characters (or level-K string functions) for the cases K=4, K=8, and K=16. These identities fall into three classes: identities in the first class are generalizations of the famous Jacobi theta-function identity (which is the K=2 special case), ide...
1992-01-31
2010-11-01
[ "hep-th" ]
Philip C. Argyres, Keith R. Dienes, and S.-H. Henry Tye
hep-th/9201079
Fusion and singular vectors in A1{(1)} highest weight cyclic modules
We show how the interplay between the fusion formalism of conformal field theory and the Knizhnik--Zamolodchikov equation leads to explicit formulae for the singular vectors in the highest weight representations of A1{(1)}.
1992-01-31
2009-10-22
[ "hep-th" ]
M. Bauer and N. Sochen
hep-th/9201077
Remarks on the Physical States and the Chiral Algebra of 2D Gravity Coupled to $C \leq 1$ Matter
Some elaboration is given to the structure of physical states in 2D gravity coupled to $C \leq 1$ matter, and to the chiral algebra ($w_{\infty}$) of $C_{M} = 1$ theory which has been found recently, in the continuum approach, by Witten and by Klebanov and Polyakov. It is shown then that the chiral algebra is being rea...
1992-01-31
2009-10-22
[ "hep-th" ]
Vl.S.Dotsenko
hep-th/9201072
Quantum Rings and Recursion Relations in 2D Quantum Gravity
I study tachyon condensate perturbations to the action of the two dimensional string theory corresponding to the c=1 matrix model. These are shown to deform the action of the ground ring on the tachyon modules, confirming a conjecture of Witten. The ground ring structure is used to derive recursion relations which rela...
1992-01-30
2009-10-07
[ "hep-th" ]
Shamit Kachru
hep-th/9201075
Topology change in ISO(2,1) Chern-Simons gravity
In 2+1 dimensional gravity, a dreibein and the compatible spin connection can represent a space-time containing a closed spacelike surface $\Sigma$ only if the associated SO(2,1) bundle restricted to $\Sigma$ has the same non-triviality (Euler class) as that of the tangent bundle of $\Sigma.$ We impose this bundle cond...
1992-01-30
2009-10-22
[ "hep-th" ]
K.Amano and S.Higuchi
hep-th/9201076
Dilaton Contact Terms in the Bosonic and Heterotic Strings
Dilaton contact terms in the bosonic and heterotic strings are examined following the recent work of Distler and Nelson on the bosonic and semirigid strings. In the bosonic case dilaton two-point functions on the sphere are calculated as a stepping stone to constructing a `good' coordinate family for dilaton calculatio...
1992-01-30
2009-10-22
[ "hep-th" ]
Mark Doyle (Princeton University)
hep-th/9201070
Induced $W_\infty$ Gravity as a WZNW Model
We derive the explicit form of the Wess-Zumino quantum effective action of chiral $\Winf$-symmetric system of matter fields coupled to a general chiral $\Winf$-gravity background. It is expressed as a geometric action on a coadjoint orbit of the deformed group of area-preserving diffeomorphisms on cylinder whose underl...
1992-01-29
2009-10-22
[ "hep-th" ]
E.Nissimov, S.Pacheva and I.Vaysburd
hep-th/9201064
Perturbing the Ground Ring of 2-D String Theory
We use free field techniques in D=2 string theory to calculate the perturbation of the special state algebras when the cosmologi- cal constant is turned on. In particular, we find that the "ground cone" preserved by the ring structure is promoted to a three dimen- sional hyperboloid as conjectured by Witten. On the oth...
1992-01-29
2015-06-26
[ "hep-th" ]
J.L.F. Barb\'on
hep-th/9201067
Exact S-Matrices for Nonsimply-Laced Affine Toda Theories
We derive exact, factorized, purely elastic scattering matrices for affine Toda theories based on the nonsimply-laced Lie algebras and superalgebras.
1992-01-29
2009-10-22
[ "hep-th" ]
G. W. Delius, M.T. Grisaru and D. Zanon
hep-th/9201068
On the Black-Hole Conformal Field Theory Coupled to the Polyakov's String Theory. A Non Perturbative Analysis
We couple the 2D black-hole conformal field theory discovered by Witten to a $D-1$ dimensional Euclidean bosonic string. We demonstrate that the resulting planar (=zero genus) string susceptibility is real for any $0\leq D \leq 4$.
1992-01-29
2015-06-26
[ "hep-th" ]
M. Martellini, M. Spreafico and K. Yoshida
hep-th/9201071
SO(2,C) invariant ring structure of BRST cohomology and singular vectors in 2D gravity with c < 1 matter
We consider BRST quantized 2D gravity coupled to conformal matter with arbitrary central charge $c^M = c(p,q) < 1$ in the conformal gauge. We apply a Lian-Zuckerman $SO(2,\bbc)$ ($(p,q)$ - dependent) rotation to Witten's $c^M = 1$ chiral ground ring. We show that the ring structure generated by the (relative BRST cohom...
1992-01-29
2011-10-05
[ "hep-th", "math.RT" ]
N. Chair, V.K. Dobrev and H. Kanno
hep-th/9201073
All-orders wormhole vertex operators from the Wheeler-deWitt equation
We discuss the calculation of semi-classical wormhole vertex operators from wave functions which satisfy the Wheeler-deWitt equation and momentum constraints, together with certain `wormhole boundary conditions'. We consider a massless minimally coupled scalar field, initially in the spherically symmetric `mini-supersp...
1992-01-29
2008-02-03
[ "hep-th" ]
Alex Lyons
hep-th/9201074
Black Hole Evaporation in 1+1 Dimensions
The formation and quantum mechanical evaporation of black holes in two spacetime dimensions can be studied using effective classical field equations, recently introduced by Callan {\it et al.} We find that gravitational collapse always leads to a curvature singularity, according to these equations, and that the region ...
1992-01-29
2008-11-26
[ "hep-th" ]
J. Russo, L. Susskind and L. Thorlacius
hep-th/9201066
Interaction of Tachyons and Discrete States in c=1 2-D Quantum Gravity
The two-dimensional (2-D) quantum gravity coupled to the conformal matter with $c=1$ is studied. We obtain all the three point couplings involving tachyons and/or discrete states via operator product expansion. We find that cocycle factors are necessary and construct them explicitly. We obtain an effective action for t...
1992-01-29
2008-02-03
[ "hep-th" ]
Yoichiro Matsumura, Norisuke Sakai, Yoshiaki Tanii
hep-th/9201065
Coupling of Tachyons and Discrete States in $c = 1$ 2-D Gravity
All the three point couplings involving tachyons and/or discrete states are obtained in $c=1$ two-dimensional (2-D) quantum gravity by means of the operator product expansion (OPE). Cocycle factors are found to be necessary in order to maintain the analytic structure of the OPE, and are constructed explicitly both for ...
1992-01-29
2009-10-22
[ "hep-th" ]
Yoichiro Matsumura, Norisuke Sakai, Yoshiaki Tanii
hep-th/9201069
A continuum string model for $D>1$
The non critical string (2D gravity coupled to the matter with central charge $D$) is quantized taking care of both diffeomorphism and Weyl symmetries. In incorporating the gauge fixing with respect to the Weyl symmetry, through the condition $R_g=const$, one modifies the classical result of Distler and Kawai. In parti...
1992-01-29
2015-06-26
[ "hep-th" ]
M. Martellini, M. Spreafico and K. Yoshida
hep-th/9201062
Poisson bracket algebra for chiral group elements in the WZNW model
We examine the Wess-Zumino-Novikov-Witten (WZNW) model on a circle and compute the Poisson bracket algebra for left and right moving chiral group elements. Our computations apply for arbitrary groups and boundary conditions, the latter being characterized by the monodromy matrix. Unlike in previous treatments, they do ...
1992-01-28
2015-06-26
[ "hep-th" ]
G. Bimonte, P. Salomonson, A. Simoni, A. Stern
hep-th/9201058
The Secret Chern-Simons Action for the Hot Gluon Plasma
We show that the generating functional for hard thermal loops with external gluons in QCD is essentially given by the eikonal for a Chern-Simons gauge theory. This action, determined essentially by gauge invariance arguments, also gives an efficient way of obtaining the hard thermal loop contributions without the more ...
1992-01-28
2009-10-22
[ "hep-th" ]
R.Efraty and V.P.Nair
hep-th/9201059
Quantum Hair on Black Holes
A black hole may carry quantum numbers that are {\it not} associated with massless gauge fields, contrary to the spirit of the ``no-hair'' theorems. We describe in detail two different types of black hole hair that decay exponentially at long range. The first type is associated with discrete gauge charge and the screen...
1992-01-28
2014-11-18
[ "hep-th" ]
Sidney Coleman, John Preskill, and Frank Wilczek
hep-th/9201061
Are Horned Particles the Climax of Hawking Evaporation?
We investigate the proposal by Callan, Giddings, Harvey and Strominger (CGHS) that two dimensional quantum fluctuations can eliminate the singularities and horizons formed by matter collapsing on the nonsingular extremal black hole of dilaton gravity. We argue that this scenario could in principle resolve all of the pa...
1992-01-28
2009-10-22
[ "hep-th" ]
T.Banks, A. Dabolkhar, M.R. Douglas, M. O' Loughlin (Rutgers U)
hep-th/9201056
Algebraic Structures and Differential Geometry in 2D String Theory
A careful treatment of closed string BRST cohomology shows that there are more discrete states and associated symmetries in $D=2$ string theory than has been recognized hitherto. The full structure, at the $SU(2)$ radius, has a natural description in terms of abelian gauge theory on a certain three dimensional cone $Q$...
1992-01-28
2010-04-07
[ "hep-th" ]
Edward Witten and Barton Zwiebach
hep-th/9201060
Lax Pair Formulation of the W-gravity Theories in two Dimensions
The Lax pair formulation of the two dimensional induced gravity in the light-cone gauge is extended to the more general $w_N$ theories. After presenting the $w_2$ and $w_3$ gravities, we give a general prescription for an arbitrary $w_N$ case. This is further illustrated with the $w_4$ gravity to point out some peculia...
1992-01-28
2007-05-23
[ "hep-th" ]
J.M. Lina and P.K. Panigrahi
hep-th/9201063
Are Textures Natural?
We make the simple observation that, because of global symmetry violating higher-dimension operators expected to be induced by Planck-scale physics, textures are generically much too short-lived to be of use for large-scale structure formation.
1992-01-28
2009-10-22
[ "hep-th" ]
Marc Kamionkowski and John March-Russell
hep-th/9201057
Classical and Quantum W-Gravity
Classical W-gravities and the corresponding quantum theories are reviewed. W-gravities are higher-spin gauge theories in two dimensions whose gauge algebras are W-algebras. The geometrical structure of classical W-gravity is investigated, leading to surprising connections with self-dual geometry. The anomalies that ari...
1992-01-28
2008-02-03
[ "hep-th" ]
C. M. Hull
hep-th/9201055
Addendum to the paper "Combinatorics of the modular group II: the Kontsevich integrals"
Addendum to the paper Combinatorics of the Modular Group II The Kontsevich integrals, hep-th/9201001, by C. Itzykson and J.-B. Zuber (3 pages)
1992-01-27
2008-02-03
[ "hep-th", "math.QA" ]
C. Itzykson and J.-B. Zuber
hep-th/9201054
Temperature Dependence of String Theory in the Presence of World-Sheet Boundaries
The effect of world-sheet boundaries on the temperature-dependence of bosonic string theory is studied to first order in string perturbation theory. The high- temperature behaviour of a theory with Dirichlet boundary conditions has features suggestive of the high-temperature limit of the confining phase of large-$n$ $S...
1992-01-27
2010-11-01
[ "hep-th" ]
Michael B. Green
hep-th/9201051
The Lie-Poisson Structure of Integrable Classical Non-Linear Sigma Models
The canonical structure of classical non-linear sigma models on Riemannian symmetric spaces, which constitute the most general class of classical non-linear sigma models known to be integrable, is shown to be governed by a fundamental Poisson bracket relation that fits into the $r$-$s$-matrix formalism for non-ultraloc...
1992-01-24
2016-09-06
[ "hep-th", "math.QA" ]
M. Bordemann, M. Forger, J. Laartz, U. Schaeper
hep-th/9201052
Gauge Transformations in String Field Theory and canonical Transformation in String Theory
We study how canonical transfomations in first quantized string theory can be understood as gauge transformations in string field theory. We establish this fact by working out some examples. As a by product, we could identify some of the fields appearing in string field theory with their counterparts in the $\sigma$-mo...
1992-01-24
2009-10-22
[ "hep-th" ]
J. Maharana and S. mukherji
hep-th/9201053
Comments on No-Hair Theorems and Stabilty of Blackholes
In the light of recent blackhole solutions inspired by string theory, we review some old statements on field theoretic hair on blackholes. We also discuss some stability issues. In particular we argue that the two dimensional string blackhole solution is semi-classically stable while the naked singularity is unstable t...
1992-01-24
2009-10-22
[ "hep-th" ]
S.P. de Alwis
hep-th/9201050
The Complete Spectrum of the $W_N$ String
We obtain the complete physical spectrum of the $W_N$ string, for arbitrary $N$. The $W_N$ constraints freeze $N-2$ coordinates, while the remaining coordinates appear in the currents only {\it via} their energy-momentum tensor. The spectrum is then effectively described by a set of ordinary Virasoro-like string theori...
1992-01-24
2009-10-07
[ "hep-th" ]
H. Lu, C.N. Pope, S. Schrans and K.W. Xu
hep-th/9201047
Duality-Invariant Gaugino Condensation and One-Loop Corrected Kahler Potentials in String Theory
The duality-invariant gaugino condensation with or without massive matter fields is re-analysed, taking into account the dependence of the string threshold corrections on the moduli fields and recent results concerning one-loop corrected K\"ahler potentials. The scalar potential of the theory for a generic superpotenti...
1992-01-23
2009-10-07
[ "hep-th" ]
Dieter L\"ust and Carlos Mu\~noz
hep-th/9201048
The Chern-Simons Source as a Conformal Family and Its Vertex Operators
In a previous work, a straightforward canonical approach to the source-free quantum Chern-Simons dynamics was developed. It makes use of neither gauge conditions nor functional integrals and needs only ideas known from QCD and quantum gravity. It gives Witten's conformal edge states in a simple way when the spatial sli...
1992-01-23
2015-06-26
[ "hep-th" ]
A.P.Balachandran, G.Bimonte, K.S.Gupta and A.Stern
hep-th/9201049
Light-Cone Gauge for 1+1 Strings
Explicit construction of the light-cone gauge quantum theory of bosonic strings in 1+1 spacetime dimensions reveals unexpected structures. One is the existence of a gauge choice that gives a free action at the price of propagating ghosts and a nontrivial BRST charge. Fixing this gauge leaves a U(1) Kac-Moody algebra of...
1992-01-23
2009-10-22
[ "hep-th" ]
Eric Smith
hep-th/9201043
The phase of scalar field wormholes at one loop in the path integral formulation for Euclidean quantum gravity
We here calculate the one-loop approximation to the Euclidean Quantum Gravity coupled to a scalar field around the classical Carlini and Miji\'c wormhole solutions. The main result is that the Euclidean partition functional $Z_{EQG}$ in the ``little wormhole'' limit is real. Extension of the CM solutions with the inclu...
1992-01-22
2010-04-06
[ "hep-th" ]
Alberto Carlini and Maurizio Martellini
hep-th/9201046
String Motion in Fivebrane Geometry
The classical motion of a test string in the transverse space of two types of heterotic fivebrane sources is fully analyzed, for arbitrary instanton scale size. The singular case is treated as a special case and does not arise in the continuous limit of zero instanton size. We find that the orbits are either circular o...
1992-01-22
2010-11-19
[ "hep-th" ]
Ramzi R. Khuri and HoSeong La
hep-th/9201041
On the Background Independence of String Field Theory: III. Explicit Field Redefinitions
Given two conformal field theories related to each other by a marginal perturbation, and string field theories constructed around such backgrounds, we show how to construct explicit redefinition of string fields which relate these two string field theories. The analysis is carried out completely for quadratic and cubic...
1992-01-22
2009-09-15
[ "hep-th" ]
Ashoke Sen
hep-th/9201045
Orbits of a String around a Fivebrane
The classical orbits of a test string in the transverse space of a singular heterotic fivebrane source are classified. The orbits are found to be either circular or open, but not conic because the inverse square law is not satisfied at long range. This result differs from predictions of General Relativity. The conserve...
1992-01-22
2009-10-22
[ "hep-th" ]
Ramzi R. Khuri and HoSeong La
hep-th/9201042
Stabilizing the gravitational action and Coleman's solution to the cosmological constant problem
We use the 5-th time action formalism introduced by Halpern and Greensite to stabilize the unbounded Euclidean 4-D gravity in two simple minisuperspace models. In particular, we show that, at the semiclassical level ($\hbar \rightarrow 0$), we still have as a leading saddle point the $S^4$ solution and the Coleman peak...
1992-01-22
2009-10-22
[ "hep-th" ]
Alberto Carlini and Maurizio Martellini
hep-th/9201044
Strings below the Planck scale
We show that, for a class of critical strings in ${\bf R}\times S^{1}$-target space, the description of string theory given by its field content (analog model) breaks down when the radius of $S^{1}$ decreases below $R_{0}=\sqrt{\alpha^{\prime}}$, the self-dual point of the partition function $Z(R)$. We find that $Z(R)$...
1992-01-22
2010-11-01
[ "hep-th" ]
M.A.R. Osorio and M.A. Vazquez-Mozo
hep-th/9201039
Exact Bosonic and Supersymmetric String Black Hole Solutions
We show that Witten's two-dimensional string black hole metric is exactly conformally invariant in the supersymmetric case. We also demonstrate that this metric, together with a recently proposed exact metric for the bosonic case, are respectively consistent with the supersymmetric and bosonic $\sigma$-model conformal ...
1992-01-21
2009-10-22
[ "hep-th" ]
I. Jack, D. R. T. Jones and J. Panvel
hep-th/9201038
Rational vs Polynomial Character of W$_n^l$-Algebras
The constraints proposed recently by Bershadsky to produce $W^l_n$ algebras are a mixture of first and second class constraints and are degenerate. We show that they admit a first-class subsystem from which they can be recovered by gauge-fixing, and that the non-degenerate constraints can be handled by previous methods...
1992-01-21
2009-10-22
[ "hep-th" ]
L. Feher, L. O'Raifeartaigh, P. Ruelle and I. Tsutsui
hep-th/9201040
Target Space Duality as a Symmetry of String Field Theory
Toroidal backgrounds for bosonic strings are used to understand target space duality as a symmetry of string field theory and to study explicitly issues in background independence. Our starting point is the notion that the string field coordinates $X(\sigma)$ and the momenta $P(\sigma)$ are background independent objec...
1992-01-21
2010-11-01
[ "hep-th" ]
Taichiro Kugo and Barton Zwiebach
hep-th/9201037
String Field Theory for d \leq 0 Matrix Models via Marinari-Parisi
We generalize the Marinari-Parisi definition for pure two dimensional quantum gravity $(k = 2)$ to all non unitary minimal multicritical points $(k \geq 3)$. The resulting interacting Fermi gas theory is treated in the collective field framework. Making use of the fact that the matrices evolve in Langevin time, the Jac...
1992-01-20
2009-10-22
[ "hep-th" ]
Joshua Feinberg
hep-th/9201036
$G/G$--Topological Field Theories by Cosetting $G_k$
$G/G$ topological field theories based on $G_k$ WZW models are constructed and studied. These coset models are formulated as Complex BRST cohomology in $G^c_k$, the complexified level $k$ current algebra. The finite physical spectrum corresponds to the conformal blocks of $G_k$ .The amplitudes for $G/G$ theories are ar...
1992-01-19
2009-10-22
[ "hep-th" ]
Mordechai Spiegelglas and Shimon Yankielowicz
hep-th/9201034
Spectrum of Two-Dimensional (Super)Gravity
We review the BRST analysis of the system of a (super)conformal matter coupled to 2D (super)gravity. The spectrum and its operator realization are reported. In particular, the operators associated with the states of nonzero ghost number are given. We also discuss the ground ring structure of the super-Liouville coupled...
1992-01-17
2008-11-26
[ "hep-th" ]
Katsumi Itoh and Nobuyoshi Ohta
hep-th/9201033
The Multicritical Kontsevich-Penner Model
We consider the hermitian matrix model with an external field entering the quadratic term $\tr(\Lambda X\Lambda X)$ and Penner--like interaction term $\alpha N(\log(1+X)-X)$. An explicit solution in the leading order in $N$ is presented. The critical behaviour is given by the second derivative of the free energy in $\a...
1992-01-16
2015-06-26
[ "hep-th" ]
L. Chekhov and Yu. Makeenko
hep-th/9201032
The thermodynamic Bethe ansatz for deformed W$A_{N-1}$ conformal field theories
We propose and investigate the thermodynamic Bethe ansatz equations for the minimal $W_p^N$ models~(associated with the $A_{N-1}$ Lie algebra) perturbed by the least~($Z_N$ invariant) primary field $\Phi_N$. Our results reproduce the expected ultraviolet and infrared regimes. In particular for the positive sign of the ...
1992-01-16
2015-06-26
[ "hep-th" ]
Marcio J. Martins
hep-th/9201035
Separation of variables for the classical and quantum Neumann model
The method of separation of variables is shown to apply to both the classical and quantum Neumann model. In the classical case this nicely yields the linearization of the flow on the Jacobian of the spectral curve. In the quantum case the Schr\"odinger equation separates into one--dimensional equations belonging to the...
1992-01-16
2009-10-22
[ "hep-th" ]
O. Babelon and M. Talon
hep-th/9201031
New Solutions to the Yang--Baxter Equation from Two--Dimensional Representations of $U_q(sl(2))$ at Roots of Unit
We present particularly simple new solutions to the Yang--Baxter equation arising from two--dimensional cyclic representations of quantum $SU(2)$. They are readily interpreted as scattering matrices of relativistic objects, and the quantum group becomes a dynamical symmetry.
1992-01-16
2009-10-22
[ "hep-th" ]
M.~Ruiz--Altaba
hep-th/9201030
Supersymmetric Construction of W-Algebras from Super Toda and Wznw Theories
A systematic construction of super W-algebras in terms of the WZNW model based on a super Lie algebra is presented. These are shown to be the symmetry structure of the super Toda models, which can be obtained from the WZNW theory by Hamiltonian reduction. A classification, according to the conformal spin defined by an ...
1992-01-16
2015-06-26
[ "hep-th" ]
L.A. Ferreira, J.F. Gomes, R.M. Ricotta and A.H. Zimerman