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Whitham Theory for Integrable Systems and Topological Quantum Field Theories

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New Symmetry Principles in Quantum Field Theory

Part of the book series: NATO ASI Series ((NSSB,volume 295))

Abstract

During the last two years remarkable connections between the non-perturbative theory of two-dimensional gravity coupled with various matter fields, the theory of topological gravity coupled with topological matter fields, the theory of matrix models and, finally, the theory of integrable soliton equations with special Virasoro constraints have been found [1–11]. The main goal of these few lectures is to present the results of perturbation theory of algebraic-geometrical solutions of integrable equations which clarify some of this connections.

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Author information

Authors and Affiliations

  1. Landau Institute for Theoretical Physics, USSR Academy of Sciences, USSR

    I. Krichever

Authors
  1. I. Krichever
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Editor information

Editors and Affiliations

  1. ETH-Zürich, Zürich, Switzerland

    J. Fröhlich

  2. Institute for Theoretical Physics, Utrecht, The Netherlands

    G. ’t Hooft

  3. Harvard University, Cambridge, Massachusetts, USA

    A. Jaffe

  4. II Institut für Theoretische Physik, Hamburg, Germany

    G. Mack

  5. University of Paris VI, Paris, France

    P. K. Mitter

  6. Laboratory of Particle Physics, Annecy, Annecy-le-Vieux, France

    R. Stora

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© 1992 Springer Science+Business Media New York

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Krichever, I. (1992). Whitham Theory for Integrable Systems and Topological Quantum Field Theories. In: Fröhlich, J., ’t Hooft, G., Jaffe, A., Mack, G., Mitter, P.K., Stora, R. (eds) New Symmetry Principles in Quantum Field Theory. NATO ASI Series, vol 295. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-3472-3_11

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  • DOI: https://doi.org/10.1007/978-1-4615-3472-3_11

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-6538-9

  • Online ISBN: 978-1-4615-3472-3

  • eBook Packages: Springer Book Archive

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