Integrable Quantum Field Theories
This volume contains the invited contributions to the NATO Advanced Research Workshop on Integrable Quantum Field Theories held at the Villa Olmo, Como, Italy, September 14-18, 1992. About 70 researchers from all over world gathered at this in terdisciplinary workshop, which turned out to be timely and very stimulating. We are grateful to the institutions that made it possible: the NATO Scientific Affairs Divi sion, the Istituto Nazionale di Fisica Nucleare and the Scuola Internazionale Superiore di Studi Avanzati for financial support, and the Centro A.Volta for hospitality. In the past decades integrability was mostly explored in the framework of mathe matical physics. However, in the last few years it has become a prominent subject in many domains of theoretical physics: two dimensional statistical mechanical models, two-dimensional conformal field theories and their perturbations, matrix models of two-dimensional gravity. This trend has been confirmed by the workshop: progress has been reported in all of the above topics both from physicists and mathematicians. One can recognize three broad groups of subjects: 1) 2D lattice models and off-critical solvable models, 2) Kac-Moody algebras and their role in integrable theories, 3) matrix models of string theory and their relation with topological and integrable field theories.
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Quantum Affine Symmetry and Correlation Functions
A ThreeDimensional Solvable Model
Elliptic Parametrization of the ThreeState Chiral Potts Mode
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action affine Toda theories amplitudes B.M. McCoy Boltzmann weights bootstrap bosonic Chern-Simons Chern-Simons theory chiral coefficients compute conformal field theory conserved charges consider coordinates correlation functions corresponding coupling constant defined deformation derive differential dimensional dimensions equations equivalent fermion form factors formula Frobenius manifold gauge geometry given gravity Hamiltonian Hecke algebra hierarchy holomorphic infinite Integrable Quantum Field Ising model Kähler Lagrangian Lett Lie algebra linear loop maps massive Math matrix model metric moduli space monodromy non-abelian Nucl obtained parameter particles partition function perturbation Phys physical Poisson bracket polynomial preprint properties quantization quantum chains Quantum Field Theories quantum group R.J. Baxter relation representation result roots S-matrix satisfy scalar simply-laced soliton solutions spin string theory structure symmetry tachyon target space tensor topological transformation two-dimensional variables vector Verlinde vertex operators WDVW Yangians Zamolodchikov