Integrable Hierarchies and Modern Physical Theories
By: edited by Henrik Aratyn, Alexander S. Sorin
Contributors: Sorin, Alexander S.
Series: NATO Science Series, Series II: Mathematics, Physics and Chemistry, 1568-2609 -- 18; NATO science series -- 18.
Publisher: Springer Netherlands; Imprint; Springer
Published: 2001
Place of publication: Dordrecht
Language: eng
Format: [electronic resource] /
Number of pages: 448
ISBN-13: 9789401007207
Other titles: Proceedings of the NATO Advanced Research Workshop, Chicago, USA, July 22-26, 2000
Description: A self-contained 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 Seiberg-Witten 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 Toda-type hierarchies, their various symmetry reductions, boronic and fermionic, isospectral and non-isospectral, local and non-local flows; trigonometric Calogero-Moser systems; conjugate, orthogonal and Egorov nets. <br/> A unique insight into integrable models that will interest serious practitioners, young researchers and graduate students starting their careers in the area.