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Integrable Hierarchies and Modern Physical Theories (NATO Science Series II: Mathematics, Physics and Chemistry, 18),Used
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A selfcontained collection of reviews, reports and survey articles describing the background to and recent developments in integral systems and their applications in modern theoretical physics. Some articles discuss the connection of integrable models to SeibergWitten theory and its generalization to many gauge models possessing hidden integrability on a moduli space. New ideas are also presented on higher dimensional integrable systems and skyrmions. Other topics include two dimensional sigma and Wzw models; affine and boundary integrable Toda field theories and related perturbed conformal quantum field theories; boronic and supersymmetric, discrete and differential Kp and Todatype hierarchies, their various symmetry reductions, boronic and fermionic, isospectral and nonisospectral, local and nonlocal flows; trigonometric CalogeroMoser systems; conjugate, orthogonal and Egorov nets.A unique insight into integrable models that will interest serious practitioners, young researchers and graduate students starting their careers in the area.
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