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Supersymmetry and Integrable Models

Proceedings of a Workshop Held at Chicago, IL, USA, 12–14 June 1997

  • Conference proceedings
  • © 1998

Overview

Editors:
  1. Henrik Aratyn
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  2. Tom D. Imbo
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  3. Wai-Yee Keung
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  4. Uday Sukhatme
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Part of the book series: Lecture Notes in Physics (LNP, volume 502)

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Table of contents (23 papers)

  1. Front Matter

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  2. Constrained KP hierarchy as a ratio of differential operators

    • Henrik Aratyn
    Pages 2-17

  3. Infinite dimensional symmetries in massive integrable models

    • Hidetoshi Awata
    Pages 19-32

  4. On the whitham equations and (X, ψ) duality

    • Robert Carroll
    Pages 33-56

  5. Poisson brackets for densities of functionals

    • Leonid A. Dickey
    Pages 57-62

  6. Hamiltonian dynamics, classical R-matrices and isomonodromic deformations

    • J. Harnad
    Pages 63-75

  7. Integrable systems with singular rational spectral varieties

    • Alex Kasman
    Pages 77-90

  8. Lectures on the asymptotic expansion of a Hermitian matrix integral

    • Motohico Mulase
    Pages 91-134

  9. Solitons and generalized tau-functions for affine integrable hierarchies

    • L. A. Ferreira, J. Sánchez Guillén
    Pages 135-166

  10. Constrained and rational reductions of the KP hierarchy

    • Gerard Helminck, Johan van de Leur
    Pages 167-182

  11. Matrix membranes and integrability

    • Cosmas Zachos, David Fairlie, Thomas Curtright
    Pages 183-196

  12. Vertex operators and solitons of constrained KP hierarchies

    • H. Aratyn, L. A. Ferreira, J. F. Gomes, A. H. Zimerman
    Pages 197-210

  13. Zero curvature formalism in superspace

    • Henrik Aratyn, Ashok Das, Constantin Rasinariu, A. H. Zimerman
    Pages 212-240

  14. N=2 KdV hierarchies and classical r-matrix

    • Laurent Gallot
    Pages 242-256

  15. Reduction of self-dual Yang-Mills systems and super nonlinear Schrödinger equations

    • M. Legaré
    Pages 257-267

  16. Darboux transformations for SUSY integrable systems

    • Q. P. Liu, Manuel Mañas
    Pages 269-281

  17. Susy hierarchies and affine Lie algebras

    • Francesco Toppan
    Pages 283-293

  18. A semiclassical approach to level crossing in supersymmetric quantum mechanics

    • J. F. Beacom, A. B. Balantekin
    Pages 296-312

  19. One-dimensional disordered supersymmetric quantum mechanics: A brief survey

    • Alain Comtet, Christophe Texier
    Pages 313-328

  20. Zero modes and self-isospectral potentials in periodic supersymmetric quantum mechanics

    • Gerald Dunne, Joshua Feinberg
    Pages 329-340
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Keywords

About this book

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.

Bibliographic Information

  • Book Title: Supersymmetry and Integrable Models

  • Book Subtitle: Proceedings of a Workshop Held at Chicago, IL, USA, 12–14 June 1997

  • Editors: Henrik Aratyn, Tom D. Imbo, Wai-Yee Keung, Uday Sukhatme

  • Series Title: Lecture Notes in Physics

  • DOI: https://doi.org/10.1007/BFb0105309

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1998

  • Softcover ISBN: 978-3-662-14188-5Published: 13 November 2013

  • eBook ISBN: 978-3-540-69679-7Published: 06 May 2007

  • Series ISSN: 0075-8450

  • Series E-ISSN: 1616-6361

  • Edition Number: 1

  • Number of Pages: XI, 379

  • Number of Illustrations: 13 b/w illustrations

  • Topics: Quantum Field Theories, String Theory, Mathematical Methods in Physics

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