A Hopf Algebra Structure in Self-dual Gravity

Details A Hopf Algebra Structure in Self-dual Gravity A Hopf Algebra Structure in Self-dual Gravity

1994-10-20

arxiv.org/abs/hep-th/9410154v3

Rev.Mex.Fis. 42 (1996) 695

Physics

High Energy Physics

High Energy Physics - Theory

19, Phyzzx, no figures, major revisions and changes in the above version

Scientific paper

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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