Integrable Models and Strings: Proceedings of the 3rd Baltic Rim Student Seminar Held at Helsinki, Finland, 13-17 September 1993 (Lecture Notes in Physics)

This is a collection of papers on a variety of topics of current interest in mathematical physics: integrable systems, quantum groups, topological quantum theory, string theory. Some of the contributions are lengthy reviews of lasting value on subjects like symplectic geometry of the Chern-Simons theory or on mirror symmetry. The book addresses graduate students as well as researchers in mathematical physics. The new results on lattice deformation of current algebra....Pages 1-10 Baxterization, dynamical systems, and the symmetries of integrability....Pages 11-35 A lecture on the Calogero-Sutherland models....Pages 36-48 Quantum group and magnetic translations. Bethe-Ansatz solution for bloch electrons in a magnetic field....Pages 49-58 Symplectic geometry of the Chern-Simons theory....Pages 59-97 Quantization of field theories generalizing Gravity-Yang-Mills systems on the cylinder....Pages 98-122 Wodzicki residue and anomalies of current algebras....Pages 123-135 Spacetime locality of the antifield formalism: General theorems illustrated by means of examples....Pages 136-147 On supersymmetric and topological quantum mechanical models....Pages 148-171 Structures of K.Saito theory of primitive form in topological theories coupled to topological gravity....Pages 172-193 String theory and classical integrable systems....Pages 194-220 On background independence in string theory....Pages 221-234 Lectures on mirror symmetry....Pages 235-280 The new results on lattice deformation of current algebra -- Baxterization, dynamical systems, and the symmetries of integrability -- A lecture on the Calogero-Sutherland models -- Quantum group and magnetic translations. Bethe-Ansatz solution for bloch electrons in a magnetic field -- Symplectic geometry of the Chern-Simons theory -- Quantization of field theories generalizing Gravity-Yang-Mills systems on the cylinder -- Wodzicki residue and anomalies of current algebras -- Spacetime locality of the antifield formalism: General theorems illustrated by means of examples -- On supersymmetric and topological quantum mechanical models -- Structures of K. Saito theory of primitive form in topological theories coupled to topological gravity -- String theory and classical integrable systems -- On background independence in string theory -- Lectures on mirror symmetry This volume addresses a variety of topics of current interest in mathematical physics, including integrable systems, quantum groups, topological quantum theory and string theory. There are also reviews of mirror symmetry and the symplectic geometry of the Chern-Simons Theory.