Overview

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.

Full Product Details

Author:   Henrik Aratyn ,  Alexander S. Sorin
Publisher:   Springer
Imprint:   Springer
Edition:   Softcover reprint of the original 1st ed. 2001
Volume:   18
Dimensions:   Width: 16.00cm , Height: 2.30cm , Length: 24.00cm
Weight:   0.711kg
ISBN:  

9780792369639

ISBN 10:   0792369637
Pages:   435
Publication Date:   31 May 2001
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock  
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Table of Contents

Seiberg-Witten Toda Chains and N=1 SQCD.- Integrable Hierarchies in Donaldson-Witten and Seiberg-Witten Theories.- Integrable Many-Body Systems and Gauge Theories.- From PCM to KdV and Back.- Reflection Amplitudes in Conformai Field Theory and Integrable Systems.- Lagrangian Approach to Integrable Systems Yields New Symplectic Structures for KdV.- Skyrmions from Harmonic Maps.- Symmetry Flows, Conservation Laws and Dressing Approach to the Integrable Models.- Trigonometric Calogero-Moser System as a Symmetry Reduction of KP Hierarchy.- Supersymmetric Toda Lattice Hierarchies.- Symmetries and Recursions for N = 2 Supersymmetric KdV-equation.- New Solvable Periodic Potentials from Supersymmetry.- Functional and Differential Equations in the Problems of Nonlinear Mathematical Physics.- Integrable Multi-Dimensional Discrete Geometry. Quadrilateral lattices, their transformations and reductions.- Integrable Nets and the KP Hierarchy.- A Survey of Star Product Geometry.

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