Supersymmetry and Integrable Models: Proceedings of a Workshop Held at Chicago, IL, USA, 12–14 June 1997

Henrik Aratyn (auth.), Henrik Aratyn, Tom D. Imbo, Wai-Yee Keung, Uday Sukhatme (eds.)9783540639862, 3540639861

This book combines supersymmetry modelling in quantum mechanics and integrable models in a unique way. It addresses researchers as well as graduate students. Along with articles that present new technical results, the reader will also find pedagogically written reviews. Recent applications of supersymmetric integrable models are also given.

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Table of contents :
Constrained KP hierarchy as a ratio of differential operators….Pages 2-17
Infinite dimensional symmetries in massive integrable models….Pages 19-32
On the whitham equations and ( X, ψ ) duality….Pages 33-56
Poisson brackets for densities of functionals….Pages 57-62
Hamiltonian dynamics, classical R -matrices and isomonodromic deformations….Pages 63-75
Integrable systems with singular rational spectral varieties….Pages 77-90
Lectures on the asymptotic expansion of a Hermitian matrix integral….Pages 91-134
Solitons and generalized tau-functions for affine integrable hierarchies….Pages 135-166
Constrained and rational reductions of the KP hierarchy….Pages 167-182
Matrix membranes and integrability….Pages 183-196
Vertex operators and solitons of constrained KP hierarchies….Pages 197-210
Zero curvature formalism in superspace….Pages 212-240
N=2 KdV hierarchies and classical r -matrix….Pages 242-256
Reduction of self-dual Yang-Mills systems and super nonlinear Schrödinger equations….Pages 257-267
Darboux transformations for SUSY integrable systems….Pages 269-281
Susy hierarchies and affine Lie algebras….Pages 283-293
A semiclassical approach to level crossing in supersymmetric quantum mechanics….Pages 296-312
One-dimensional disordered supersymmetric quantum mechanics: A brief survey….Pages 313-328
Zero modes and self-isospectral potentials in periodic supersymmetric quantum mechanics….Pages 329-340
Shape invariance and its connection to potential algebra….Pages 341-350
Supersymmetry in quantum mechanical models: a quantum hamilton-jacobi approach….Pages 351-360
Quantum-mechanical supersymmetry in traps….Pages 362-368
Cyclic shape invariant potentials….Pages 369-379