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arXiv · hep-th/9410154

A Hopf Algebra Structure in Self-dual Gravity

Hugo Garcia-Compean·Laura E. Morales·Jerzy F. Plebanski
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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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Hugo Garcia-Compean, Laura E. Morales, Jerzy F. Plebanski. 1996-01-20. A Hopf Algebra Structure in Self-dual Gravity. https://arxiv.org/abs/hep-th/9410154

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