Conformal Field Theories and Integrable Models: Lectures Held at the Eötvös Graduate Course, Budapest, Hungary, 13–18 August 1996
In the last few years we have witnessed an upsurge of interest in exactly solvable quantum field theoretical models in many branches of theoretical physics ranging from mathematical physics through high-energy physics to solid states. This book contains six pedagogically written articles meant as an introduction for graduate students to this fascinating area of mathematical physics. It leads them to the front line of present-day research. The topics include conformal field theory and W algebras, the special features of 2d scattering theory as embodied in the exact S matrices and the form factor studies built on them, the Yang--Baxter equations, and the various aspects of the Bethe Ansatz systems.
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affine amplitude appear becomes Bethe Ansatz blocks calculate called characters charge chiral classical combination commute complex conformal field theory conserved consider consistent construction correlation corresponding coset coupling currents defined denotes describe determined diagonal diagrams dimensions discussed elements energy equations example exist fact fermions Finally finite Fuchs function fusion gauge given gives Hamiltonian identity infinite integral introduce invariant irreducible lecture Lie algebra limit mass matrix means method module momenta momentum normal Nucl null vectors observables obtained operator operator product pair particles permutation Phys physical poles position possible problem properties quantum rapidities relations representation respect result roots rules S-matrix satisfy scattering simple solution solve space spin strings structure symmetry thermodynamic transformation values vectors W-algebras yields zero