Whitham Theory for Integrable Systems and Topological Quantum Field Theories

  • I. Krichever
Part of the NATO ASI Series book series (NSSB, volume 295)


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.


Modulus Space Loop Equation Virasoro Constraint Whitham Equation Topological Quantum Field Theory 


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Copyright information

© Springer Science+Business Media New York 1992

Authors and Affiliations

  • I. Krichever
    • 1
  1. 1.Landau Institute for Theoretical PhysicsUSSR Academy of SciencesUSSR

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