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Conformal Algebras and Non-Linear Differential Equations

  • I. Bakas
Part of the NATO ASI Series book series (NSSB, volume 245)

Abstract

The method of Hamiltonian reduction used by Drinfeld and Sokolov in the theory of integrable non-linear differential equations, is applied to two dimensional field theories. We show that conformai symmetries can be obtained from Kac-Moody Lie algebras by introducing appropriate gauge choices. We also present R-matrix generalizations of the underlying (Gelfand-Dickey) algebraic structures and outline possible extensions of the main results to higher dimensions. Finally, we discuss the significance of these ideas in theories of quantum gravity.

Keywords

Pseudodifferential Operator Conformal Symmetry Conformal Algebra Kill Vector Field Hamiltonian Reduction 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1990

Authors and Affiliations

  • I. Bakas
    • 1
  1. 1.Center for Theoretical Physics Department of Physics and AstronomyUniversity of MarylandCollege ParkUSA

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