A Hopf Algebra Structure in Self-dual Gravity
High Energy Physics - Theory
2008-02-03 v3 General Relativity and Quantum Cosmology
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.
Keywords
Cite
@article{arxiv.hep-th/9410154,
title = {A Hopf Algebra Structure in Self-dual Gravity},
author = {Hugo Garcia-Compean and Laura E. Morales and Jerzy F. Plebanski},
journal= {arXiv preprint arXiv:hep-th/9410154},
year = {2008}
}
Comments
19, Phyzzx, no figures, major revisions and changes in the above version