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Integrable Hierarchies and Modern Physical Theories

Henrik Aratyn, Alexander S. Sorin
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      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. A unique insight into integrable models that will interest serious practitioners, young researchers and graduate students starting their careers in the area.
      Format: CONTRIBUTORS: Henrik Aratyn, Alexander S. Sorin EAN: 9780792369639 COUNTRY: Netherlands PAGES: WEIGHT: 711 g HEIGHT: 240 cm
      PUBLISHED BY: Springer DATE PUBLISHED: 2001-05-31 CITY: GENRE: MATHEMATICS / Algebra / Abstract, MATHEMATICS / Applied, MATHEMATICS / Differential Equations / General, MATHEMATICS / Geometry / Algebraic, SCIENCE / Physics / Mathematical & Computational WIDTH: 160 cm SPINE:

      Book Themes:

      Algebra, Differential calculus and equations, Algebraic geometry, Applied mathematics, Mathematical physics

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      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. A unique insight into integrable models that will interest serious practitioners, young researchers and graduate students starting their careers in the area.
      Format: CONTRIBUTORS: Henrik Aratyn, Alexander S. Sorin EAN: 9780792369639 COUNTRY: Netherlands PAGES: WEIGHT: 711 g HEIGHT: 240 cm
      PUBLISHED BY: Springer DATE PUBLISHED: 2001-05-31 CITY: GENRE: MATHEMATICS / Algebra / Abstract, MATHEMATICS / Applied, MATHEMATICS / Differential Equations / General, MATHEMATICS / Geometry / Algebraic, SCIENCE / Physics / Mathematical & Computational WIDTH: 160 cm SPINE:

      Book Themes:

      Algebra, Differential calculus and equations, Algebraic geometry, Applied mathematics, Mathematical physics

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      Be the first to write a review
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