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A Hopf Algebra Structure in Self-dual Gravity

Authors
  • Garcia-Compean, Hugo
  • Morales, Laura E.
  • Plebanski, Jerzy F.
Type
Published Article
Publication Date
Jan 20, 1996
Submission Date
Oct 20, 1994
Identifiers
arXiv ID: hep-th/9410154
Source
arXiv
License
Unknown
External links

Abstract

The two-dimensional non-linear sigma model approach to Self-dual Yang-Mills theory and to Self-dual gravity given by Q-Han Park is an example of the deep interplay between two and four dimensional physics. In particular, Husain's two-dimensional chiral model approach to Self-dual gravity is studied. We show that the infinite hierarchy of conservation laws associated to the Husain model carries implicitly a hidden infinite Hopf algebra structure.

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