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hep-lat/9107001
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How to Put a Heavier Higgs on the Lattice
Lattice work, exploring the Higgs mass triviality bound, seems to indicate that a strongly interacting scalar sector in the minimal standard model cannot exist while low energy QCD phenomenology seems to indicate that it could. We attack this puzzle using the 1/N expansion and discover a simple criterion for selectin...
U.M. Heller, H. Neuberger and P. Vranas
hep-lat
July
1,991
https://arxiv.org/abs/hep-lat/9107001
hep-lat/9107002
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Spectral Density Study of the SU(3) Deconfining Phase Transition
We present spectral density reweighting techniques adapted to the analysis of a time series of data with a continuous range of allowed values. In a first application we analyze action and Polyakov line data from a Monte Carlo simulation on $L_t L^3 (L_t=2,4)$ lattices for the SU(3) deconfining phase transition. We ca...
Nelsons A. Alves, Bernd Al. Berg and Sergiu Sanielevici
hep-lat
July
1,991
https://arxiv.org/abs/hep-lat/9107002
hep-lat/9112001
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Vectorized Cluster Search
Contrary to conventional wisdom, the construction of clusters on a lattice can easily be vectorized, namely over each ``generation'' in a breadth first search. This applies directly to, e.g., the {\it single cluster} variant of the Swendsen-Wang algorithm. On a Cray Y-MP, total CPU time was reduced by a factor 3.5 --...
Hans Gerd Evertz
hep-lat
December
1,991
https://arxiv.org/abs/hep-lat/9112001
hep-lat/9112002
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Multi-Grid Monte Carlo III. Two-Dimensional O(4)-Symmetric Nonlinear $\sigma$-Model
We study the dynamic critical behavior of the multi-grid Monte Carlo (MGMC) algorithm with piecewise-constant interpolation applied to the two-dimensional O(4)-symmetric nonlinear $\sigma$-model [= SU(2) principal chiral model], on lattices up to $256 \times 256$. We find a dynamic critical exponent $z_{int,{\cal M}^...
Robert G. Edwards, Sabino Jos\'e Ferreira, Jonathan Goodman, Alan D. Sokal
hep-lat
December
1,991
https://arxiv.org/abs/hep-lat/9112002
hep-th/9108001
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Exact Black String Solutions in Three Dimensions
A family of exact conformal field theories is constructed which describe charged black strings in three dimensions. Unlike previous charged black hole or extended black hole solutions in string theory, the low energy spacetime metric has a regular inner horizon (in addition to the event horizon) and a timelike singul...
James H. Horne and Gary T. Horowitz
hep-th
August
1,991
https://arxiv.org/abs/hep-th/9108001
hep-th/9108002
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Hamiltonian construction of W-gravity actions
We show that all W-gravity actions can be easilly constructed and understood from the point of view of the Hamiltonian formalism for the constrained systems. This formalism also gives a method of constructing gauge invariant actions for arbitrary conformally extended algebras.
A. Mikovic
hep-th
August
1,991
https://arxiv.org/abs/hep-th/9108002
hep-th/9108003
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Supersymmetric Gelfand-Dickey Algebra
We study the classical version of supersymmetric $W$-algebras. Using the second Gelfand-Dickey Hamiltonian structure we work out in detail $W_2$ and $W_3$-algebras.
Katri Huitu and Dennis Nemeschansky
hep-th
August
1,991
https://arxiv.org/abs/hep-th/9108003
hep-th/9108004
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Ground Ring Of Two Dimensional String Theory
String theories with two dimensional space-time target spaces are characterized by the existence of a ``ground ring'' of operators of spin $(0,0)$. By understanding this ring, one can understand the symmetries of the theory and illuminate the relation of the critical string theory to matrix models. The symmetry group...
Edward Witten
hep-th
August
1,991
https://arxiv.org/abs/hep-th/9108004
hep-th/9108005
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Fusion Residues
We discuss when and how the Verlinde dimensions of a rational conformal field theory can be expressed as correlation functions in a topological LG theory. It is seen that a necessary condition is that the RCFT fusion rules must exhibit an extra symmetry. We consider two particular perturbations of the Grassmannian su...
Kenneth Intriligator
hep-th
August
1,991
https://arxiv.org/abs/hep-th/9108005
hep-th/9108006
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Discrete and Continuum Approaches to Three-Dimensional Quantum Gravity
It is shown that, in the three-dimensional lattice gravity defined by Ponzano and Regge, the space of physical states is isomorphic to the space of gauge-invariant functions on the moduli space of flat $SU(2)$ connections over a two-dimensional surface, which gives physical states in the $ISO(3)$ Chern-Simons gauge t...
Hirosi Ooguri and Naoki Sasakura
hep-th
August
1,991
https://arxiv.org/abs/hep-th/9108006
hep-th/9108007
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Infinite Quantum Group Symmetry of Fields in Massive 2D Quantum Field Theory
Starting from a given S-matrix of an integrable quantum field theory in $1+1$ dimensions, and knowledge of its on-shell quantum group symmetries, we describe how to extend the symmetry to the space of fields. This is accomplished by introducing an adjoint action of the symmetry generators on fields, and specifying th...
A. LeCLair and F. Smirnov
hep-th
August
1,991
https://arxiv.org/abs/hep-th/9108007
hep-th/9108008
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Novel Symmetries of Topological Conformal Field theories
We show that various actions of topological conformal theories that were suggested recentely are particular cases of a general action. We prove the invariance of these models under transformations generated by nilpotent fermionic generators of arbitrary conformal dimension, $\Q$ and $\G$. The later are shown to be th...
J. Sonnenschein and S. Yankielowicz
hep-th
August
1,991
https://arxiv.org/abs/hep-th/9108008
hep-th/9108009
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Solving 3+1 QCD on the Transverse Lattice Using 1+1 Conformal Field Theory
A new transverse lattice model of $3+1$ Yang-Mills theory is constructed by introducing Wess-Zumino terms into the 2-D unitary non-linear sigma model action for link fields on a 2-D lattice. The Wess-Zumino terms permit one to solve the basic non-linear sigma model dynamics of each link, for discrete values of the ba...
Paul A. Griffin
hep-th
August
1,991
https://arxiv.org/abs/hep-th/9108009
hep-th/9108010
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String Winding in a Black Hole Geometry
$U(1)$ zero modes in the $SL(2,R)_k/U(1)$ and $SU(2)_k/U(1)$ conformal coset theories, are investigated in conjunction with the string black hole solution. The angular variable in the Euclidean version, is found to have a double set of winding. Region III is shown to be $SU(2)_k/U(1)$ where the doubling accounts for ...
Mordechai Spiegelglas
hep-th
August
1,991
https://arxiv.org/abs/hep-th/9108010
hep-th/9108011
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Twisted Black p-Brane Solutions in String Theory
It has been shown that given a classical background in string theory which is independent of $d$ of the space-time coordinates, we can generate other classical backgrounds by $O(d)\otimes O(d)$ transformation on the solution. We study the effect of this transformation on the known black $p$-brane solutions in string ...
Ashoke Sen
hep-th
August
1,991
https://arxiv.org/abs/hep-th/9108011
hep-th/9108012
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On the Perturbations of String-Theoretic Black Holes
The perturbations of string-theoretic black holes are analyzed by generalizing the method of Chandrasekhar. Attention is focussed on the case of the recently considered charged string-theoretic black hole solutions as a representative example. It is shown that string-intrinsic effects greatly alter the perturbed moti...
Gerald Gilbert
hep-th
August
1,991
https://arxiv.org/abs/hep-th/9108012
hep-th/9108013
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Differential Equations for Periods and Flat Coordinates in Two Dimensionsional Topological Matter Theories
We derive directly from the N=2 LG superpotential the differential equations that determine the flat coordinates of arbitrary topological CFT's.
W.Lerche, D.Smit, and N. Warner
hep-th
August
1,991
https://arxiv.org/abs/hep-th/9108013
hep-th/9108014
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Loop Equations and the Topological Phase of Multi-Cut Matrix Models
We study the double scaling limit of mKdV type, realized in the two-cut Hermitian matrix model. Building on the work of Periwal and Shevitz and of Nappi, we find an exact solution including all odd scaling operators, in terms of a hierarchy of flows of $2\times 2$ matrices. We derive from it loop equations which can ...
C. Crnkovic, M. Douglas, G. Moore
hep-th
August
1,991
https://arxiv.org/abs/hep-th/9108014
hep-th/9108015
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A $U(N)$ Gauge Theory in Three Dimensions as an Ensemble of Surfaces
A particular $U(N)$ gauge theory defined on the three dimensional dodecahedral lattice is shown to correspond to a model of oriented self-avoiding surfaces. Using large $N$ reduction it is argued that the model is partially soluble in the planar limit.
F. David, H. Neuberger
hep-th
August
1,991
https://arxiv.org/abs/hep-th/9108015
hep-th/9108016
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Non-Perturbative 2D Quantum Gravity, Again
This is a talk given by S.D. at the the workshop on Random Surfaces and 2D Quantum Gravity, Barcelona 10-14 June 1991. It is an updated review of recent work done by the authors on a proposal for non-perturbatively stable 2D quantum gravity coupled to c<1 matter, based on the flows of the (generalised) KdV hierarchy....
S.Dalley, C.Johnson and T.Morris
hep-th
August
1,991
https://arxiv.org/abs/hep-th/9108016
hep-th/9108017
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A New Solution to the Star--Triangle Equation Based on U$_q$(sl(2)) at Roots of Unit
We find new solutions to the Yang--Baxter equation in terms of the intertwiner matrix for semi-cyclic representations of the quantum group $U_q(s\ell(2))$ with $q= e^{2\pi i/N}$. These intertwiners serve to define the Boltzmann weights of a lattice model, which shares some similarities with the chiral Potts model. An...
Cesar Gomez and German Sierra
hep-th
August
1,991
https://arxiv.org/abs/hep-th/9108017
hep-th/9108018
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Real Forms of Complex Quantum Anti de Sitter Algebra $U_q (Sp(4,C))$ and their Contraction Schemes
We describe four types of inner involutions of the Cartan-Weyl basis providing (for $ |q|=1$ and $q$ real) three types of real quantum Lie algebras: $U_{q}(O(3,2))$ (quantum D=4 anti-de-Sitter), $U_{q}(O(4,1))$ (quantum D=4 de-Sitter) and $U_{q}(O(5))$. We give also two types of inner involutions of the Cartan-Cheval...
J. Lukierski, A. Novicki and H. Ruegg
hep-th
August
1,991
https://arxiv.org/abs/hep-th/9108018
hep-th/9108019
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String Theory in Two Dimensions
I review some of the recent progress in two-dimensional string theory, which is formulated as a sum over surfaces embedded in one dimension.
Igor R. Klebanov
hep-th
August
1,991
https://arxiv.org/abs/hep-th/9108019
hep-th/9108020
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String Theory and the Donaldson Polynomial
It is shown that the scattering of spacetime axions with fivebrane solitons of heterotic string theory at zero momentum is proportional to the Donaldson polynomial.
J.A.Harvey and A.Strominger
hep-th
August
1,991
https://arxiv.org/abs/hep-th/9108020
hep-th/9108021
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The big picture
We discuss the conformal field theory and string field theory of the NSR superstring using a BRST operator with a nonminimal term, which allows all bosonic ghost modes to be paired into creation and annihilation operators. Vertex operators for the Neveu-Schwarz and Ramond sectors have the same ghost number, as do str...
N. Berkovits, M.T. Hatsuda, and W. Siegel
hep-th
August
1,991
https://arxiv.org/abs/hep-th/9108021
hep-th/9108022
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Superstring Compactification and Target Space Duality
This review talk focusses on some of the interesting developments in the area of superstring compactification that have occurred in the last couple of years. These include the discovery that ``mirror symmetric" pairs of Calabi--Yau spaces, with completely distinct geometries and topologies, correspond to a single (2,...
John H. Schwarz
hep-th
August
1,991
https://arxiv.org/abs/hep-th/9108022
hep-th/9108023
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Fock space resolutions of the Virasoro highest weight modules with c<=1
We extend Felder's construction of Fock space resolutions for the Virasoro minimal models to all irreducible modules with $c\leq 1$. In particular, we provide resolutions for the representations corresponding to the boundary and exterior of the Kac table.
Peter Bouwknegt, Jim McCarthy and Krzysztof Pilch
hep-th
August
1,991
https://arxiv.org/abs/hep-th/9108023
hep-th/9108024
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On the S-matrix of the Sub-leading Magnetic Deformation of the Tricritical Ising Model in Two Dimensions
We compute the $S$-matrix of the Tricritical Ising Model perturbed by the subleading magnetic operator using Smirnov's RSOS reduction of the Izergin-Korepin model. The massive model contains kink excitations which interpolate between two degenerate asymmetric vacua. As a consequence of the different structure of the ...
F. Colomo, A. Koubek, G. Mussardo
hep-th
August
1,991
https://arxiv.org/abs/hep-th/9108024
hep-th/9108025
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Correlation functions in super Liouville theory
We calculate three- and four-point functions in super Liouville theory coupled to super Coulomb gas on world sheets with spherical topology. We first integrate over the zero mode and assume that a parameter takes an integer value. After calculating the amplitudes, we formally continue the parameter to an arbitrary re...
E. Abdalla, M.C.B. Abdalla, D.Dalmazi, Koji Harada
hep-th
August
1,991
https://arxiv.org/abs/hep-th/9108025
hep-th/9108026
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Superstring in Two Dimensional Black Hole
We construct superstring theory in two dimensional black hole background based on supersymmetric $SU(1,1)/U(1)$ gauged Wess-Zumino-Witten model.
Shin'ichi Nojiri
hep-th
August
1,991
https://arxiv.org/abs/hep-th/9108026
hep-th/9108027
"qXOY/hKhCMzYUNTf9XLQ+2RL4Fb1l7MxUZNqfbf+dFSOVQvYSwdl226FGOeAobWjxD31im8sf8eguXzgEFoMAFGUoYAedlOWEK0AOh4kFHnJfS1AaYxxr7Bpq+IsIb2o1Cenr977h8/yhZd5q25WC8XalAh+DINwDXfcNLw+yr4="
Factorization and Topological States in $c=1$ Matter Coupled to 2-D Gravity
Factorization of the $N$-point amplitudes in two-dimensional $c=1$ quantum gravity is understood in terms of short-distance singularities arising from the operator product expansion of vertex operators after the Liouville zero mode integration. Apart from the tachyon states, there are infinitely many topological stat...
Norisuke Sakai, Yoshiaki Tanii
hep-th
August
1,991
https://arxiv.org/abs/hep-th/9108027
hep-th/9108028
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Applied Conformal Field Theory
These lectures consisted of an elementary introduction to conformal field theory, with some applications to statistical mechanical systems, and fewer to string theory. Contents: 1. Conformal theories in d dimensions 2. Conformal theories in 2 dimensions 3. The central charge and the Virasoro algebra 4. Kac ...
Paul Ginsparg
hep-th
August
1,991
https://arxiv.org/abs/hep-th/9108028
hep-th/9109001
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Fractional Superstrings with Space-Time Critical Dimensions Four and Six
We propose possible new string theories based on local world-sheet symmetries corresponding to extensions of the Virasoro algebra by fractional spin currents. They have critical central charges $c=6(K+8)/(K+2)$ and Minkowski space-time dimensions $D=2+16/K$ for $K\geq2$ an integer. We present evidence for their exist...
Philip C. Argyres and S.-H. Henry Tye
hep-th
September
1,991
https://arxiv.org/abs/hep-th/9109001
hep-th/9109002
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Ashtekar's Approach to Quantum Gravity
A review is given of work by Abhay Ashtekar and his colleagues Carlo Rovelli, Lee Smolin, and others, which is directed at constructing a nonperturbative quantum theory of general relativity.
Gary T. Horowitz
hep-th
September
1,991
https://arxiv.org/abs/hep-th/9109002
hep-th/9109003
"6nOcfgflEI7YUPLT7WP4/2VrpHCUF6st1Vdj+fF/5HwgWBsNL0htGG6DEuXQx7Xj1hXx62esPFmoIH0gWEo5QyGdpcQe71aylF0AePskCPmZGy1Iacj4vBCrZl4NJewIgiZ2v8bVD9/2pb1552ZFi/Ta0ot/zKLwSJPwlLIWurw="
The renormalization group flow in 2D N=2 SUSY Landau-Ginsburg models
We investigate the renormalization of N=2 SUSY L-G models with central charge $c=3p/(2+p)$ perturbed by an almost marginal chiral operator. We calculate the renormalization of the chiral fields up to $gg{^*}$ order and of nonchiral fields up to $g(g^{*})$ order. We propose a formulation of the nonrenormalization theo...
Jadwiga Bienkowska
hep-th
September
1,991
https://arxiv.org/abs/hep-th/9109003
hep-th/9109004
"imscfoLgCMR6UMDbVlL082xLctC1n5ONVFeqXx/9cX3ALFtcS0dF/GyBOcUUw7fiwGt1g3aOXFcA8v8gCEofVhGWIYQH61OeHP9ErT8uJfmZ7Q9g6JxpPvkqrssYJIwIliPmnu4zi9viRz/vhm4HA83ayIl+y+OwC9KcMfE6Fr4="
Bosonisation of the Complex-boson realisation of $W_\infty$
We bosonise the complex-boson realisations of the $W_\infty$ and $W_{1+\infty}$ algebras. We obtain nonlinear realisations of $W_\infty$ and $W_{1+\infty}$ in terms of a pair of fermions and a real scalar. By further bosonising the fermions, we then obtain realisations of $W_\infty$ in terms of two scalars. Keeping t...
X. Shen and X.J. Wang
hep-th
September
1,991
https://arxiv.org/abs/hep-th/9109004
hep-th/9109005
"+HEdX0KCOchYUFD39WPc+WQLNECUlxIJUZdud79+5VwIXEtVDWhl+mydGeXgQbSn7P1xw2+oHEEAaDyoSGgtA3OcoBQ251OSED9ALpwmNvnZWS9gYoh9vjyJqnMtJI6YgiU/v9vxhk/yxb79om5EC4Wasq12VoNgTZHcNPgKi74="
World Sheet and Space Time Physics in Two Dimensional (Super) String Theory
We show that tree level ``resonant'' $N$ tachyon scattering amplitudes, which define a sensible ``bulk'' S -- matrix in critical (super) string theory in any dimension, have a simple structure in two dimensional space time, due to partial decoupling of a certain infinite set of discrete states. We also argue that the...
P. Di Francesco and D. Kutasov
hep-th
September
1,991
https://arxiv.org/abs/hep-th/9109005
hep-th/9109006
"i2McfhKEqMx4UFL75VLUsWQrcFTUlxMpVJdqezb/51lCXFrZSg1J2i6HM6UwQbWjiA7l43aMfuWQKf/gWEofAOGeoQUWZlqcEPxILD0kFfvdXCxAa4B5vz0q6nItIJ2JFDXnvua5hlvywBXpou5GC0fa3gh+yqPwCRbdveSfm6o="
(2+1)-Dimensional Chern-Simons Gravity as a Dirac Square Root
For (2+1)-dimensional spacetimes with the spatial topology of a torus, the transformation between the Chern-Simons and ADM versions of quantum gravity is constructed explicitly, and the wave functions are compared. It is shown that Chern-Simons wave functions correspond to modular forms of weight 1/2, that is, spinor...
Steven Carlip
hep-th
September
1,991
https://arxiv.org/abs/hep-th/9109006
hep-th/9109007
"sHmUfhanqtpRWNBzRVDwsnVr9TRUlxptQNNrfT9/NRxISFvZCyBt3GyVG6TgwrWj0r/xw3esWMkIZr+iWEu1QnO8p4QWz1W+EBwgbHskEPnBTC8AC4hoPrmrpkstKugp9zU9rfNRlN/yhbblp0YEA42a7i92HMOwTRPcNbk7yjo="
High Temperature Limit of the Confining Phase
The deconfining transition in non-Abelian gauge theory is known to occur by a condensation of Wilson lines. By expanding around an appropriate Wilson line background, it is possible at large $N$ to analytically continue the confining phase to arbitrarily high temperatures, reaching a weak coupling confinement regime....
Joseph Polchinski
hep-th
September
1,991
https://arxiv.org/abs/hep-th/9109007
hep-th/9109008
"+WmdfoPjCYJYUXCbVXPcc2UJNNDUr6tNVNdmfT/8dl1aLBvJWwRt2CyPidHAYaWnoH9x53WsblUMC26gSEodAnGdooUWUFeaCJ4EaNksFHvZWSZoaoxovzKrKtsoBK64lic3vZZTlH/ihb59I25UC0yalgt/38vhTZPUpqAfguo="
Effective Superstrings
We generalize the method of quantizing effective strings proposed by Polchinski and Strominger to superstrings. The Ramond-Neveu-Schwarz string is different from the Green-Schwarz string in non-critical dimensions. Both are anomaly-free and Poincare invariant. Some implications of the results are discussed. The forma...
Zhu Yang
hep-th
September
1,991
https://arxiv.org/abs/hep-th/9109008
hep-th/9109009
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Bi-Hamiltonian Sturcture of Super KP Hierarchy
We obtain the bi-Hamiltonian structure of the super KP hierarchy based on the even super KP operator $\Lambda = \theta^{2} + \sum^{\infty}_{i=-2}U_{i} \theta^{-i-1}$, as a supersymmetric extension of the ordinary KP bi-Hamiltonian structure. It is expected to give rise to a universal super $W$-algebra incorporating a...
Feng Yu
hep-th
September
1,991
https://arxiv.org/abs/hep-th/9109009
hep-th/9109010
"6WscfoKDiohZFdST5VL0+2V7dNSVv7OtVUeqXT9/VBBW6FocK0Zl3GSHG4WUw7fnpC91v2eOPsEi0vygSEoWRlGUIYA1Y1ecDLRMrH8sDHnIeSfg45R5rlwrrvw8AIkJkLHnv7pSgsvqR//thk9WQ02K0AN+zOLwT9LUuTEehr4="
W3 Constructions on Affine Lie Algebras
We use an argument of Romans showing that every Virasoro construction leads to realizations of $W_3$, to construct $W_3$ realizations on arbitrary affine Lie algebras. Solutions are presented for generic values of the level as well as for specific values of the level but with arbitrary parameters. We give a detailed ...
A. Deckmyn and S. Schrans
hep-th
September
1,991
https://arxiv.org/abs/hep-th/9109010
hep-th/9109011
"mmmYfgKjqQJYQFL3TVD0M3V5tfRQn8NFVNeKdT/+ZR1M/VtZW0xtmmyGP6EQw6Wj4L/1gzesHscAMn9gWFg1QnE+qYUWd1O0CLwEbHkkAfuDbw0AK4xpvpmjrsstIs6om7Vtv/7yhv/2hLbtoyY1i82axi5+HpPQTdLULKw7jjg="
Critical Boundary Conditions for the Effective String
Gauge systems in the confining phase induce constraints at the boundaries of the effective string, which rule out the ordinary bosonic string even with short distance modifications. Allowing topological excitations, corresponding to winding around the colour flux tube, produces at the quantum level a universal free f...
M.Caselle, R.Fiore, F.Gliozzi, P.Provero and S.Vinti
hep-th
September
1,991
https://arxiv.org/abs/hep-th/9109011
hep-th/9109012
"uHkYfpLjCthYUVTf9VLc+2VpNFYUF5p1UBNyfT33ZRwELBtIKExlcG6RG6dg4aWnwL71sneMPMUi6/ygUCgfQtOeoEAUa1OeED0QKNwkFHmZXS1gYthxvhQLJs4sJKyJ3Lenv/5Rht+y5Z/9g0ZUCtXa1ip+DuMgRfLctq07gro="
Is S=1 for c=1?
The $c=1$ string in the Liouville field theory approach is shown to possess a nontrivial tree-level $S$-matrix which satisfies factorization property implied by unitary, if all the extra massive physical states are included.
D. Minic and Z. Yang
hep-th
September
1,991
https://arxiv.org/abs/hep-th/9109012
hep-th/9109013
"OnyYfgLhOPpQWJL33VD1821p8VSUtpsFVBdo3Tv/NVzMaBtVaCRNWGaFO7WwxrXj2N/1QnecTkGhsn2iCE09QCGWocWe81GmHL1UaF8mIPybXAyAqYLoPDirYsoMBXiomnflv+r1ivvuBL5hpmZFB4/a/Ct+zKNySZLcFPAewv4="
Collective Field Representation of Nonrelativistic Fermions in (1+1) Dimensions
A collective field formalism for nonrelativistic fermions in (1+1) dimensions is presented. Applications to the D=1 hermitian matrix model and the system of one-dimensional fermions in the presence of a weak electromagnetic field are discussed.
Dimitra Karabali
hep-th
September
1,991
https://arxiv.org/abs/hep-th/9109013
hep-th/9109014
"i3kcfhKBGVZYUFDb1VPk+Wx7dnW0/xstVcdiX7fu8VQ4aVpQCgdF1G4HM6Wxw7XvwBt1j3OMHgMEbPykWHB/BtmaJ8AWfVaUGPUU7/suPX2RfA3AQooJLyioquMOIZwwkgPnvsbyBe/yxxfpgm5WQwWazSh+zKMwKXKEML0Ls74="
Generalized Drinfeld-Sokolov Hierarchies II: The Hamiltonian Structures
In this paper we examine the bi-Hamiltonian structure of the generalized KdV-hierarchies. We verify that both Hamiltonian structures take the form of Kirillov brackets on the Kac-Moody algebra, and that they define a coordinated system. Classical extended conformal algebras are obtained from the second Poisson bracke...
Nigel J. Burroughs, Mark F. deGroot, Timothy J. Hollowood and J. Luis Miramontes
hep-th
September
1,991
https://arxiv.org/abs/hep-th/9109014
hep-th/9109015
"u3Edf4LhKcRZUVLfdVPcc247tla13zp4UdNuXTfcZFVouFjBC4Bt2G6HGeXgQb2h4A/xg3esPNUFbfyhCEoeQtOcoEUW0teMWL8QbJ0kBn3JWS5gJowoLjyqpn85BJ6okie/vdZ4gV/yx7f5AkdUy1eanql+3+P0TVHEp7Yaqro="
On the solutions to the string equation
The set of solutions to the string equation $[P,Q]=1$ where $P$ and $Q$ are differential operators is described.It is shown that there exists one-to-one correspondence between this set and the set of pairs of commuting differential operators.This fact permits us to describe the set of solutions to the string equation...
A.Schwarz
hep-th
September
1,991
https://arxiv.org/abs/hep-th/9109015
hep-th/9109016
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Classical Gravity Coupled to Liouville Theory
We consider the two dimensional Jackiw-Teitelboim model of gravity. We first couple the model to the Liouville action and $c$ scalar fields and show, treating the combined system as a non linear sigma model, that the resulting theory can be interpreted as a critical string moving in a target space of dimension $D=c+2...
F.D. Mazzitelli and N. Mohammedi
hep-th
September
1,991
https://arxiv.org/abs/hep-th/9109016
hep-th/9109017
"uvmYfgqlCVxYUNDbd0rws2Qr5HSUN5sl0FcrX5P/sXTmSBvcKA5F3EyFO+Hg5bWngF7xgn+Mfsmo8lygWGo9QEGfI8QW/1GMFHgMaF8uBv3Zf7zi6tF5LIQJok4NBb+I/Be3vsp4H8vyBZ/tq2YHD03a2Kh+TaNwTXLcGjk6oro="
Singular vectors by Fusions in affine su(2)
Explicit expressions for the singular vectors in the highest weight representations of $A_1^{(1)}$ are obtained using the fusion formalism of conformal field theory.
M. Bauer and N. Sochen
hep-th
September
1,991
https://arxiv.org/abs/hep-th/9109017
hep-th/9109018
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Stochastic Quantization vs. KdV Flows in 2D Quantum Gravity
We consider the stochastic quantization scheme for a non-perturbative stabilization of 2D quantum gravity and prove that it does not satisfy the KdV flow equations. It therefore differs from a recently suggested matrix model which allows real solutions to the KdV equations. The behaviour of the Fermi energy, the free...
J. Ambjorn, C.V. Johnson and T.R.Morris
hep-th
September
1,991
https://arxiv.org/abs/hep-th/9109018
hep-th/9109019
"u2mcfgKFGMjYUNDT5Vr0821b5naclpMJkVNi/bP/dXRISFpJSwltWm6XO8U4Qb2m4E/xy2asPsmgZP20SGp/wOu1pMQW51eanKpYKf8uEPmTuw/CYhgpv6wr7sosBIw46AL3v/ZRDM/ghff9puYXA0aa+St+zaMwSDPcmrMGpro="
Restricted Quantum Affine Symmetry of Perturbed Minimal Models
We study the structure of superselection sectors of an arbitrary perturbation of a conformal field theory. We describe how a restriction of the q-deformed $\hat{sl(2)}$ affine Lie algebra symmetry of the sine-Gordon theory can be used to derive the S-matrices of the $\Phi^{(1,3)}$ perturbations of the minimal unitary...
G. Felder and A. LeClair
hep-th
September
1,991
https://arxiv.org/abs/hep-th/9109019
hep-th/9109020
"uHUUflLCCP7YUFST91Lc+2AL53SVh7MJVgdqX7f/tF34TFrdak1p2C6Dv8eQQbXngD/xqXaMDsMw9v8kWEsUQuGUIUEX5lK0HLJMCJgmFvuZfA1A6qwpvpgqZv4tDYwIEJb1v9I3j9tixxPphmZVA03aXgN+z6NwCdPMdvEOAao="
Infinite Quantum Group Symmetry in 2d Quantum Field Theory
I describe how integrable quantum field theories in 2 spacetime dimensions are characterized by infinite dimensional quantum group symmetries, namely the q-deformations of affine Lie algebras, and their Yangian limit. These symmetries can provide a new non-perturbative formulation of the theories.
Andre LeClair
hep-th
September
1,991
https://arxiv.org/abs/hep-th/9109020
hep-th/9109021
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Excited-state thermodynamics
In the last several years, the Casimir energy for a variety of 1+1-dimensional integrable models has been determined from the exact S-matrix. It is shown here how to modify the boundary conditions to project out the lowest-energy state, which enables one to find excited-state energies. This is done by calculating the...
Paul Fendley
hep-th
September
1,991
https://arxiv.org/abs/hep-th/9109021
hep-th/9109022
"unmRf4KlCc9YW9KXdVO08WfJtDa1l5M9UVNuHTe99FVobFtMCQhk2mwDkeHQQb2jhN/xp2OAXN0lfP2gcECcRkGdIIQ2U1q8EL0YaJokFP3ZPCxAKohpvKGrp1YtBYyIsmOyvdJRgt/Cyb/hgmREAoSe3iV+ToMxTdfMFqk+qro="
Some Applications of String Field Theory
We study general properties of the classical solutions in non-polynomial closed string field theory and their relationship with two dimensional conformal field theories. In particular we discuss how different conformal field theories which are related by marginal or nearly marginal deformations can be regarded as dif...
Ashoke Sen
hep-th
September
1,991
https://arxiv.org/abs/hep-th/9109022
hep-th/9109023
"qnkcfoLECN7QEBR79UL0+m0L5lS81xstV0Vm3RD/5HnASFpceiVN2m4FP+cwwb3mkh7xi2fEXsskGt4gWGo8QOk8LYBb5V6MGLAcaJ8mBPmRPK2AagxYL40qal4sBayJELf3v+bRD+vmh9dppG5Hw1baGC9+zYNwSdLMErkehjo="
On quantum group symmetries of conformal field theories
The appearance of quantum groups in conformal field theories is traced back to the Poisson-Lie symmetries of the classical chiral theory. A geometric quantization of the classical theory deforms the Poisson-Lie symmetries to the quantum group ones. This elucidates the fundamental role of chiral symmetries that quantu...
Fernando Falceto and Krzysztof Gawedzki
hep-th
September
1,991
https://arxiv.org/abs/hep-th/9109023
hep-th/9109024
"uXEZfhvnGO54MFXT9VDQ+WwrfNaVV5sVFFcqHRXv5VRmTUo4CU5tGmaHG+VQ47Vj1Drx6mecXscMLv0gWAhdAjGcpZUddVKcELhYaJ0mBJibvT/gbYh5voMr5sIMJbyJpCbnv99ljMvyhZ/5qm5HA8Ta1ip/TONgQXbUdb6Gqro="
On the Liouville Approach to Correlation Functions for 2-D Quantum Gravity
We evaluate the three point function for arbitrary states in bosonic minimal models on the sphere coupled to quantum gravity in two dimensions. The validity of the formal continuation in the number of Liouville screening charge insertions is shown directly from the Liouville functional integral using semi-classical m...
Kenichiro Aoki and Eric D'Hoker
hep-th
September
1,991
https://arxiv.org/abs/hep-th/9109024
hep-th/9109025
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Correlation functions of minimal models coupled to two dimensional quantum supergravity
We compute the three point functions of Neveu--Schwarz primary fields of the minimal models on the sphere when coupled to supergravity in two dimensions. The results show that the three point correlation functions are determined by the scaling dimensions of the fields, as in the bosonic case.
Kenichiro Aoki and Eric D'Hoker
hep-th
September
1,991
https://arxiv.org/abs/hep-th/9109025
hep-th/9109026
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String Effective Action and Two Dimensional Charged Black Hole
Graviton-dilaton background field equations in three space-time dimensions, following from the string effective action are solved when the metric has only time dependence. By taking one of the two space dimensions as compact, our solution reproduces a recently discovered charged black hole solution in two space-time ...
S. Pratik Khastgir and Alok Kumar
hep-th
September
1,991
https://arxiv.org/abs/hep-th/9109026
hep-th/9109027
"+nEYX4rjqNxYUTf39VPcc2xbskS1zwMJVNMqXTfu/F0kCUpITAx83m6XmaWAwbejoA91g2eMetUJvv+gGEmfQlG8oJQ2dxuUHL4QbBksFH/JXS1AaoxpLaU7olpsIpyoFrUnt+9whl/mxd/5om5UC8Xa4q5/V4NxaZPYFOQaijo="
On the connection between Quantum Mechanics and the geometry of two-dimensional strings
On the basis of an area-preserving symmetry in the phase space of a one-dimensional matrix model - believed to describe two-dimensional string theory in a black-hole background which also allows for space-time foam - we give a geometric interpretation of the fact that two-dimensional stringy black holes are consisten...
J.Ellis, N.E. Mavromatos, D.V. Nanopoulos
hep-th
September
1,991
https://arxiv.org/abs/hep-th/9109027
hep-th/9109028
"y3scbhbxiMhcUZET9VLR02kLdeS3F5MtVFdqH7fvNFRiaVpYCwF93WyFG6eww73vwB/x42eMfs2DL/6qeEhPRvGcJcUSf1aeEPwIal0kFOmLeQ3gtYxxr5kroFw9JbyJtiO3/tdwjo/moT9x525XC1Xa3AJ+2OPxCXLUOH4mAr4="
New Special Operators in $W$-Gravity Theories
We find new special physical operators of $W_3 -$gravity having non trivial ghost sectors. Some of these operators may be viewed as the liouville dressings of the energy operator of the Ising model coupled to {\it 2d~gravity} and this fills in a gap in the connection between pure $W_3 -$gravity and Ising model couple...
S. Kalyana Rama
hep-th
September
1,991
https://arxiv.org/abs/hep-th/9109028
hep-th/9109029
"smkcfoPFKMpZUdLz0UP082UrNtS0F5Mp0FPuXzf/OFxACFpJDU1s3GyXm8XQw73jxi/1H2ekLtEh+t+gCEofQEOdoYQ3b1KWGK8Qbr4sFH/ZXg1AYJwpL6wrptssBIwJkiemv+5xi99mxbf5gmZXCwWa0Kt+jKLgQdPcMrk6irw="
Beyond the Large N Limit: Non-linear W(infinity) as symmetry of the SL(2,R)/U(1) coset model
We show that the symmetry algebra of the $SL(2,R)_{k}/U(1)$ coset model is a non-linear deformation of $W_{\infty}$, characterized by $k$. This is a universal $W$-algebra which linearizes in the large $k$ limit and truncates to $W_{N}$ for $k=-N$. Using the theory of non-compact parafermions we construct a free field...
I. Bakas, E. Kiritsis
hep-th
September
1,991
https://arxiv.org/abs/hep-th/9109029
hep-th/9109030
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Topology Change in General Relativity
A review is given of recent work on topology changing solutions to the first order form of general relativity. These solutions have metrics which are smooth everywhere, invertible almost everywhere, and have bounded curvature. The importance of considering degenerate metrics is discussed, and the possibility that qua...
Gary T. Horowitz
hep-th
September
1,991
https://arxiv.org/abs/hep-th/9109030
hep-th/9109031
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Constant Curvature and Non-Perturbative W3 Gravity
We show that the new classical action for two dimensional gravity (the Jackiw-Teitelboim model) possesses a $W_3$ algebra. We quantise the resulting $W_3$ gravity in the presence of matter fields with arbitrary central charges and obtain the critical exponents. The auxiliary field of the model, expressing the constan...
N. Mohammedi
hep-th
September
1,991
https://arxiv.org/abs/hep-th/9109031
hep-th/9109032
"ynEQfwKnOfpYUFD3dXPc821pNdaU1zMtVNNqfTf/9FVYmQrIDiJ13G6HO22Q452nwI/x43esLsElLfygUGldRtGcoYU2chaQEL4QbJkkFvvZUS1gYohpvAyrplIsIJ6Ysqclv95RgM/2x7f9BmZUg03a0gN+3+NwSdfcczgairg="
Interaction of Discrete States in Two-Dimensional String Theory
We study the couplings of discrete states that appear in the string theory embedded in two dimensions, and show that they are given by the structure constants of the group of area preserving diffeomorphisms. We propose an effective action for these states, which is itself invariant under this infinite-dimensional gro...
I. R. Klebanov and A. M. Polyakov
hep-th
September
1,991
https://arxiv.org/abs/hep-th/9109032
hep-th/9109033
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SU(3) x SU(2) x U(1): The residual symmetry of extended conformal gravity
Within the 4-dimensional conformal algebra, the presence of two translation operators implies the existence of 3 distinct metrics of definite Weyl weight constructible from the translational gauge fields. If we demand that each of these metrics give rise to a gauge theory of gravity, we are led to extend the symmetry...
James T. Wheeler
hep-th
September
1,991
https://arxiv.org/abs/hep-th/9109033
hep-th/9109034
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A Deformation Theory of Self-Dual Einstein Spaces
The self-dual Einstein equations on a compact Riemannian 4-manifold can be expressed as a quadratic condition on the curvature of an $SU(2)$ (spin) connection which is a covariant generalization of the self-dual Yang-Mills equations. Local properties of the moduli space of self-dual Einstein connections are described...
C. G. Torre
hep-th
September
1,991
https://arxiv.org/abs/hep-th/9109034
hep-th/9109035
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Classification of Simple Current Invariants
We summarize recent work on the classification of modular invariant partition functions that can be obtained with simple currents in theories with a center (Z_p)^k with p prime. New empirical results for other centers are also presented. Our observation that the total number of invariants is monodromy-independent for...
B. Gato-Rivera and A.N. Schellekens
hep-th
September
1,991
https://arxiv.org/abs/hep-th/9109035
hep-th/9109036
"mmkc/wLFKEpYUZB3dEO882R7tPaUj5sM1FdqfxXtZFQ8WBr5G09t+GyHP6VQ4bX2ktf1q3esPtEgcL2k2Gg9Y0uSpYU8+VCsGP1MaV8mDPmZfg7g4IDovzgrbn0JBLwJgSP3v9YRhs9iRZdrpGRFC2Wazql+TKPgTUfYgAhylr4="
Batalin-Vilkovisky Lagrangian Quantisation
The Lagrangian Batalin-Vilkovisky (BV) formalism gives the rules for the quantisation of a general class of gauge theories which contain all the theories known up to now. It does, however, not only give a recipe to obtain a gauge fixed action, but also gives a nice understanding of the mechanism behind gauge fixing. ...
Antoine Van Proeyen
hep-th
September
1,991
https://arxiv.org/abs/hep-th/9109036
hep-th/9109037
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Some Correlation Functions of Minimal Superconformal Models Coupled to Supergravity
We compute general three-point functions of minimal superconformal models coupled to supergravity in the Neveu-Schwarz sector for spherical topology thus extending to the superconformal case the results of Goulian and Li and of Dotsenko.
L. ALvarez-Gaume Ph. Zaugg
hep-th
September
1,991
https://arxiv.org/abs/hep-th/9109037
hep-th/9109038
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Twisting Classical Solutions in Heterotic String Theory
We show that, given a classical solution of the heterotic string theory which is independent of $d$ of the space time directions, and for which the gauge field configuration lies in a subgroup that commutes with $p$ of the $U(1)$ generators of the gauge group, there is an $O(d)\otimes O(d+p)$ transformation, which, a...
S. F. Hassan and Ashoke Sen
hep-th
September
1,991
https://arxiv.org/abs/hep-th/9109038
hep-th/9109039
"83kcf4PkOehZEJK30ULs82wrttQ0pxspUdMhXxP9xVQQXVrdTwlt3GyXPsXwx7zmkFZ1w3asHsmgdvwkSGo9Q7mUJEUXZVSelL8c6P83HvHBXg9A4go4P7wr798pDZwYojZ2v+IxHs9iBZb9g2ZVC+2azw1+zYNwSYKcOigah74="
A $\kappa$-Symmetry Calculus for Superparticles
We develop a $\kappa$-symmetry calculus for the d=2 and d=3, N=2 massive superparticles, which enables us to construct higher order $\kappa$-invariant actions. The method relies on a reformulation of these models as supersymmetric sigma models that are invariant under local worldline superconformal transformations. W...
Jerome P. Gauntlett
hep-th
September
1,991
https://arxiv.org/abs/hep-th/9109039
hep-th/9109040
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Irrational Axions as a Solution of The Strong CP Problem in an Eternal Universe
We exhibit a novel solution of the strong CP problem, which does not involve any massless particles. The low energy effective Lagrangian of our model involves a discrete spacetime independent axion field which can be thought of as a parameter labeling a dense set of $\theta$ vacua. In the full theory this parameter i...
Tom Banks, Michael Dine and Nathan Seiberg
hep-th
September
1,991
https://arxiv.org/abs/hep-th/9109040
hep-th/9109041
"+HMQbk6nENrYENL7bXL480dr5ZSUF/c9RBdo7bV/5FgOWVlNLwhOWu6HOuXQx7Wj0A916yO8nEUsYn5gUAs8RlO5qfQX5leyHL8ICLYmFNnaYy5IYcApqp0rtEosBO64hLH1f96hsP/yZb99oiZTA93Ylo9+ReKwD/KcDqAOlro="
Renormalization Group Patterns and C-Theorem in More Than Two Dimensions
We elaborate on a previous attempt to prove the irreversibility of the renormalization group flow above two dimensions. This involves the construction of a monotonically decreasing $c$-function using a spectral representation. The missing step of the proof is a good definition of this function at the fixed points. We...
Andrea Cappelli, Jos\'e Ignacio Latorre and Xavier Vilasis-Cardona
hep-th
September
1,991
https://arxiv.org/abs/hep-th/9109041
hep-th/9109042
"unucfgKlCc5QEFLf1ULg82Sb9HW2/xsVVtfi3ZP/5FXkSVvNK4dF2G6CO+Gh4bHjwBvx6yOMXsUt9nwgQUM1Btsco8UUdlKoGLkYbf8lBH2RXCzgb4C57xmqJHovBJwo2jb3vsJhhMtyBd9ppkZWK4aazAp+SYOwSVbcE7gel74="
Singular Vectors and Conservation Laws of Quantum KdV type equations
We give a direct proof of the relation between vacuum singular vectors and conservation laws for the quantum KdV equation or equivalently for $\Phi_{(1,3)}$-perturbed conformal field theories. For each degree at which a classical conservation law exists, we find a quantum conserved quantity for a specific value of th...
P. Di Francesco and P. Mathieu
hep-th
September
1,991
https://arxiv.org/abs/hep-th/9109042
hep-th/9109043
"80mcXwKHCIZ5UNLXbXvUM2R5dFSUlxtpVdMm/bb9xU1QXFvtTyp9mmyPCeTwQZe3gKaw42asXsUBMNygeUidR1udpJUWd1S6lD5QaHknFPGJWCxiaog4vzWrrntpFI2JkDU8v9BRBv/yhb/5h2ZWAw+a3g1/T+PwTBPcJPgfqjo="
Implications of Target Space Duality
Based on the assumption that the target space duality ($T\to 1/T$) is preserved even nonperturbatively, the properties of static string vacua are studied. A discussion of the effective four-dimensional supergravity action based on target-space modular symmetry $SL(2,{\bf Z})$ is presented. The nonperturbative superpo...
M. Cvetic
hep-th
September
1,991
https://arxiv.org/abs/hep-th/9109043
hep-th/9109044
"m8mZfxKjicZZUdKXdRPUU3x5ZNbQlxtpVVNufTH9VV1I3VsNT2p9vG6PC2XRYbejgG/xo3esfMWBfnyAWUg9QlOdpIUWV1a+EM4ULFskFPGRGC9Aaog4PymrrnttMe0osiQsrZJZBN/yxff5h27VA42K1I9/z6NgTRPcB4k+q3o="
Topological Defects in the Moduli Sector of String Theory
We point out that the moduli sector of the $(2,2)$ string compactification with its nonperturbatively preserved non-compact symmetries is a fertile framework to study global topological defects, thus providing a natural source for the large scale structure formation. Based on the target space modular invariance of th...
M. Cvetic
hep-th
September
1,991
https://arxiv.org/abs/hep-th/9109044
hep-th/9109045
"sGGY/0KjKc5YEcD37VLU92xJNPQ0l7ppVMNv3TP9RVlAfFpND45l3GyXH4VwQbejwC/1w3YsHNGifv0AQGq9QsucoYQXrla2EI5ULBhkNP2BegdAaIgoLoyrpv5tBI6JsKc+v/5zju9yx7f9JmZVC1fa3G9+z7tmSdfcMLAmjqo="
Note on Discrete Gauge Anomalies
We consider the probem of gauging discrete symmetries. All valid constraints on such symmetries can be understood in the low energy theory in terms of instantons. We note that string perturbation theory often exhibits global discrete symmetries, which are broken non-perturbatively.
T. Banks and M. Dine
hep-th
September
1,991
https://arxiv.org/abs/hep-th/9109045
hep-th/9109046
"oXkcfoK3Ge5YUMFXdVPQ+2xbdnSUtrN8xVcqXRt/bHUwTRjdaAJteG4HE6WwQ7fjwA91y3OMXsUCNPmiWEs/QsO8qcAWd1K0GB0EaYMunP3bXA+AYsB5rZgLrtgOAJyApra3/+r/jd/6hL95xkZWC8Wa1St+yKNwCXOUsvQGi/4="
Hermitian vs. Anti-Hermitian 1-Matrix Models and Their Hierarchies
Building on a recent work of \v C. Crnkovi\'c, M. Douglas and G. Moore, a study of multi-critical multi-cut one-matrix models and their associated $sl(2,C)$ integrable hierarchies, is further pursued. The double scaling limits of hermitian matrix models with different scaling ans\"atze, lead, to the KdV hierarchy, to...
Timothy Hollowood, Luis Miramontes, Andrea Pasquinucci and Chiara Nappi
hep-th
September
1,991
https://arxiv.org/abs/hep-th/9109046
hep-th/9109047
"mnsdfgOFmPhZUFD/9UKU82UrpFCVJ5Mt1VNrfdHfpVRAeEjMCghtmG6HP/fwzb2no1716neIDsksQHwgGGIeUt+WoEgeY1e+FN4kWP8mFXGZGy2Aappwv3Wrfm8tBawItSb2v9YxFt/wzdf9h2ZFC1Xa0gp+z6PgSRLclDkeor4="
The supersymmetric sigma model and the geometry of the Weyl-Kac character formula
Field theoretic and geometric ideas are used to construct a chiral supersymmetric field theory whose ground state is a specified irreducible representation of a centrally extended loop group. The character index of the associated supercharge (an appropriate Dirac operator on $LG/T$) is the Weyl-K\v{a}c character form...
Orlando Alvarez, I.M. Singer and Paul Windey
hep-th
September
1,991
https://arxiv.org/abs/hep-th/9109047
hep-th/9109048
"4GGUXhqniM5IUHrXdXPUUW/JN/aUl5NpUJNuPz/89BlEWNvERUhc+iyfGSTgAbCjgB6V40esOMUJLt7gSEidAlmdowQWVxe8EB8SbF5sFv3JGA9gK8xorb2Lql8/JI6Yknc3vbD0jv/2gfZhhyZWA8Welo1/n+NgLZPcBKgOqqg="
Elements of String Cosmology
Aspects of string cosmology for critical and non-critical strings are discussed emphasizing the necessity to account for the dilaton dynamics for a proper incorporation of ``large - small" duality. This drastically modifies the intuition one has with Einstein's gravity. For example winding modes, even though contribu...
A. A. Tseytlin and C. Vafa
hep-th
September
1,991
https://arxiv.org/abs/hep-th/9109048
hep-th/9109049
"+mGdf4aniY7AFXqXdVC0dWTLJNYQl7N9RJNuf3Xs1lVYDFrMTyx50HSHDSTQQrXH4LUw5masPsWJJD5oWGo9AnOcgOdUZ1e+EpowKNguFPXJWw9Aa9hprCyrr1sqEu6Isie9nbYUBP8ygfd9pmZFy4zajAt3X8thTRPUFPg2q7o="
Extended Inflation from Strings
We study the possibility of extended inflation in the effective theory of gravity from strings compactified to four dimensions and find that it strongly depends on the mechanism of supersymmetry breaking. We consider a general class of string--inspired models which are good candidates for successful extended inflatio...
J. Garcia-Bellido and M. quiros
hep-th
September
1,991
https://arxiv.org/abs/hep-th/9109049
hep-th/9109050
"snsQfpKBCUpbUdA/9VO0c2UrZXSUlhvJVFdi3bb9UVxYbEoZD0tVem4Rq+XRxaei4v/xRmOsXtug9twgWGo9QFm8pcQWTVeMHLyYbNsnJfmZPS3g61ggNKmp2t8lBKwphie3nsoRj0vihb7tg2ZFI4Sa/il+y8P0QVacKb9Tqno="
Structure constants in the N=1 superoperator algebra
Using the Coulomb Gas formulation of N=1 Superconformal Field Theories, we extend the arguments of Dotsenko and Fateev for the bosonic case to evaluate the structure constants of N=1 minimal Superconformal Algebras in the Neveu-Schwarz sector.
L. Alvarez-Gaume, Ph. Zaugg
hep-th
September
1,991
https://arxiv.org/abs/hep-th/9109050
hep-th/9109051
"sHucfgKFuVrSWNhx3UL8u0VLdBDYv7MMQJdr/5n/JFyM2BtdKuxN3m6Ge6Xw8rHnkLlpw2ukXs2pM58gUEo9A1u2ocUW71G0nPksaPYkIFjZDy4Aa4ipPjyLb0qNDaqpijM3hvpQF+v2NZ/pqWZEi8Tbvo9+RdP0TELMrTgfgjo="
The Damping of Energetic Gluons and Quarks in High-Temperature QCD
When a gluon or a quark is sent through the hot QCD plasma it can be absorbed into the ambient heat bath and so can acquire an effective lifetime. At high temperatures and for weak couplings the inverse lifetime, or damping rate, for energetic quarks and transverse gluons, (those whose momenta satisfy $|\p| \gg gT$) ...
C.P. Burgess and A.L. Marini
hep-th
September
1,991
https://arxiv.org/abs/hep-th/9109051
hep-th/9109052
"6Pmc/wKnCQRYWFDTZVDUc21LZHact5PJVBMqfTf/8FlYTFtUWspt3m6DEeAAwbWDpDfx5mONXNEBdvwgSGocUvOcoRQXR1O8FLNYLp4uMHnBbWZgaYxovL2rqlssAIkBMiUyn5ZRBv9iR7d1huRHCwaegC12z/PgTdfcJrgfir4="
Instantons and Solitons in Heterotic String Theory
This is a transcript of lectures given at the Sixth Jorge Andre Swieca Summer School in Theoretical Physics. The subject of these lectures is soliton solutions of string theory. We construct a class of exact conformal field theories possessing a spacetime soliton or instanton interpretation and present a preliminary ...
Curtis G. Callan, Jr
hep-th
September
1,991
https://arxiv.org/abs/hep-th/9109052
hep-th/9109053
"sGEZfgani45ZXXLXfVH0kWRJNWLQl5pIwJdv3jP/mBRaXRvtXWptGGydS6FwQafn4H7xQjesHMmrNP2wSEodAlmMIAUWflW6FLV0bNwuBnHZeQ9qYoggrjgP7j98JK6IpgUxvQZUnv+2hL95pkZVyhXa3i1+X7PgSMNctKpT7ng="
Gauge Coupling Running in Minimal SU(3)xSU(2)xU(1) Superstring Unification
We study the evolution of the gauge coupling constants in string unification schemes in which the light spectrum below the compactification scale is exactly that of the minimal supersymmetric standard model. In the absence of string threshold corrections the predicted values $\sin^2\theta _W=0.218$ and $\alpha _s=0.2...
Luis Ibanez, Dieter Luest and Graham Ross
hep-th
September
1,991
https://arxiv.org/abs/hep-th/9109053
hep-th/9109054
"KHsYfhK3OcpYUdL3dVPw+2R79VSVp6IsxYcrfT9/bHREWRs5a0ht3E6HP6Uww6dnwA/141OMXsUDOP2iUEc1QlGeocQ3fFKEGD5EaUskNN2bd42AYYDprDg7psoOAByBhba1v/54hO/6xZ/pgkaWC9+alyt22KOxSZPUsDQT3/4="
Integrable Discrete Linear Systems and One-Matrix Model
In this paper we analyze one-matrix models by means of the associated discrete linear systems. We see that the consistency conditions of the discrete linear system lead to the Virasoro constraints. The linear system is endowed with gauge invariances. We show that invariance under time-independent gauge transformation...
L. Bonora, M. Martellini and C. S. Xiong
hep-th
September
1,991
https://arxiv.org/abs/hep-th/9109054
hep-th/9109055
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Deformations, Symmetries and Topological Degrees of Freedom of the String
We discuss three closely related questions; i)~Given a conformal field theory, how may we deform it? ii)~What are the symmetries of string theory? and iii)~Does string theory have free parameters? We show that there is a distinct deformation of the stress tensor for every solution to the linearised covariant equation...
Mark Evans and Ioannis Giannakis (Rockefeller University)
hep-th
September
1,991
https://arxiv.org/abs/hep-th/9109055
hep-th/9109056
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A representation of the exchange relation for affine Toda field theory
Vertex operators are constructed providing representations of the exchange relations containing either the S-matrix of a real coupling (simply-laced) affine Toda field theory, or its minimal counterpart. One feature of the construction is that the bootstrap relations for the S-matrices follow automatically from those...
E. Corrigan and P.E. Dorey
hep-th
September
1,991
https://arxiv.org/abs/hep-th/9109056
hep-th/9109057
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On the possibility of $Z_N$ exotic supersymmetry in two dimensional Conformal Field Theory
We investigate the possibility to construct extended parafermionic conformal algebras whose generating current has spin $1+\frac{1}{K}$, generalizing the superconformal (spin 3/2) and the Fateev Zamolodchikov (spin 4/3) algebras. Models invariant under such algebras would possess $Z_K$ exotic supersymmetries satisfyi...
F.Ravanini
hep-th
September
1,991
https://arxiv.org/abs/hep-th/9109057
hep-th/9109058
"uHkQfoPAKU5QEBL/9Vr882A7t0SVh7MJVFdoXzP/JXXASRvcLA5t2GaFf8VQU7Xn0B/xwHaMDsOkvv2gWHodRKGcKcEX71KmFbF8aB0mNPmLfA9AaCw4vpkqYsosDYgIspbln+5xjutixZLthmYVA8/aWCt+yqNySZLcivkeiv4="
Quantum Symmetries in 2D Massive Field Theories
We review various aspects of (infinite) quantum group symmetries in 2D massive quantum field theories. We discuss how these symmetries can be used to exactly solve the integrable models. A possible way for generalizing to three dimensions is shortly described.
Denis Bernard
hep-th
September
1,991
https://arxiv.org/abs/hep-th/9109058
hep-th/9110001
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The Lie h-Invariant Conformal Field Theories and the Lie h-Invariant Graphs
We use the Virasoro master equation to study the space of Lie h-invariant conformal field theories, which includes the standard rational conformal field theories as a small subspace. In a detailed example, we apply the general theory to characterize and study the Lie h-invariant graphs, which classify the Lie h-invar...
M.B. Halpern, E.B. Kiritsis, N.A. Obers
hep-th
October
1,991
https://arxiv.org/abs/hep-th/9110001
hep-th/9110002
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The Effective String of 3D Gauge Systems at the Deconfining Transition
It is argued that the effective string of whatever 3D gauge system at the deconfining transition is universally described by the minimal $N=2$ extended superconformal theory at $c=1$. A universal value of the critical temperature is predicted.
M. Caselle and F.Gliozzi
hep-th
October
1,991
https://arxiv.org/abs/hep-th/9110002
hep-th/9110003
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Field Identification in Non-Unitary Diagonal Cosets
We study the nonunitary diagonal cosets constructed from admissible representations of Kac-Moody algebras at fractional level, with an emphasis on the question of field identification. Generic classes of field identifications are obtained from the analysis of the modular S matrix. These include the usual class relate...
Pierre Mathieu, David Senechal and Mark Walton
hep-th
October
1,991
https://arxiv.org/abs/hep-th/9110003
hep-th/9110004
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Manifestly $O(d,d)$ Invariant Approach to Space-Time Dependent String Vacua
An $O(d,d)$ symmetry of the manifold of string vacua that do not depend on $d$ (out of $D$) space-time coordinates has been recently identified. Here we write down, for $d=D-1$, the low energy equations of motion and their general solution in a manifestly $O(d,d)$-invariant form, pointing out an amusing similarity wi...
K.A. Meissner and G. Veneziano
hep-th
October
1,991
https://arxiv.org/abs/hep-th/9110004
hep-th/9110005
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Three-Dimensional Gravity and String Ghosts
It is known that much of the structure of string theory can be derived from three-dimensional topological field theory and gravity. We show here that, at least for simple topologies, the string diffeomorphism ghosts can also be explained in terms of three-dimensional physics.
S. Carlip and I. I. Kogan
hep-th
October
1,991
https://arxiv.org/abs/hep-th/9110005
hep-th/9110006
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On the Solution of Topological Landau-Ginzburg Models with $c=3$
The solution is given for the $c=3$ topological matter model whose underlying conformal theory has Landau-Ginzburg model $W=-\qa (x^4 +y^4)+\af x^2y^2$. While consistency conditions are used to solve it, this model is probably at the limit of such techniques. By using the flatness of the metric of the space of coupli...
Z. Maassarani
hep-th
October
1,991
https://arxiv.org/abs/hep-th/9110006
hep-th/9110007
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Some aspects of free field resolutions in 2D CFT with application to the quantum Drinfeld-Sokolov reduction
We review some aspects of the free field approach to two-dimensional conformal field theories. Specifically, we discuss the construction of free field resolutions for the integrable highest weight modules of untwisted affine Kac-Moody algebras, and extend the construction to a certain class of admissible highest weig...
P. Bouwknegt, J. McCarthy, and K. Pilch
hep-th
October
1,991
https://arxiv.org/abs/hep-th/9110007
hep-th/9110008
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Duality Invariant Effective String Actions and Minimal Superstring Unification
Some results are presented concerning duality invariant effective string actions and the construction of automorphic functions for general (2,2) string compactifications. These considerations are applied in order to discuss the {\it minimal} unification of gauge coupling constants in orbifold compactifications with s...
D. Luest
hep-th
October
1,991
https://arxiv.org/abs/hep-th/9110008
hep-th/9110009
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Constituent Quarks as Solitons
We exhibit soliton solutions of QCD in two dimensions that have the quantum numbers of quarks. They exist only for quarks heavier than the dimensional gauge coupling, and have infinite energy, corresponding to the presence of a string carrying the non-singlet color flux off to spatial infinity. The quark solitons als...
John Ellis, Yitzhak Frishman and Marek Karliner
hep-th
October
1,991
https://arxiv.org/abs/hep-th/9110009
hep-th/9110010
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Quantum Solitons in Affine Toda Field Theories
The spectra of $A_r$ affine Toda field theories with imaginary coupling constant, are investigated. Soliton solutions are found, which, despite the non-unitary form of the Lagrangian, have real classical masses and are stable to small perturbations. The quantum corrections to the soliton masses are determined, to low...
Timothy Hollowood
hep-th
October
1,991
https://arxiv.org/abs/hep-th/9110010