Integrable Hierarchies and Modern Physical Theories

Preface. List of Contributors. Seiberg-Witten Toda Chains and N=1 SQCD; A. Marshakov. Integrable Hierarchies in Donaldson-Witten and Seiberg-Witten Theories; J.D. Edelstein, M. Gomez-Reino. Integrable Many-Body Systems and Gauge Theories; A. Gorsky, A. Mironov. From PCM to KdV and Back; J.M. Evans. Reflection Amplitudes in Conformal Field Theory and Integrable Systems; V.A. Fateev. Lagrangian Approach to Integrable Systems Yields New Symplectic Structures for KdV; Y. Nutku. Skyrmions from Harmonic Maps; P.M. Sutcliffe, W.J. Zakrzewski. Symmetry Flows, Conservations Laws and Dressing Approach to the Integrable Models; H. Aratyn, et al. Trigonometric Calogero-Moser System as a Symmetry Reduction of KP Hierarchy; L.V. Bogdanov, et al. Supersymmetric Toda Lattice Hierarchies; V.G. Kadyshevsky, A.S. Sorin. Symmetries and Recursions for N = 2 Supersymmetric KdV-equation; P.H.M. Kersten. New Solvable Periodic Potentials from Supersymmetry; U. Sukhatme. Functional and Differential Equations in the Problems of Nonlinear Mathematical Physics; A.N. Leznov. Integrable Multi-Dimensional Discrete Geometry. Quadrilateral lattices, their transformations and reductions; A. Doliwa. Integrable Nets and the KP Hierarchy; M. Mañas, L. Martínez Alonso. A Survey of Star Product Geometry; C. Zachos.