Poisson algebra of 2d dimensionally reduced gravity
High Energy Physics - Theory
2009-10-31 v2 Exactly Solvable and Integrable Systems
Abstract
Using a Lax pair based on twisted affine Kac-Moody and Virasoro algebras, we deduce a r-matrix formulation of two dimensional reduced vacuum Einstein's equations. Whereas the fundamental Poisson brackets are non-ultralocal, they lead to pure c-number modified Yang-Baxter equations. We also describe how to obtain classical observables by imposing reasonable boundaries conditions.
Keywords
Cite
@article{arxiv.hep-th/0002207,
title = {Poisson algebra of 2d dimensionally reduced gravity},
author = {D. Bernard and N. Regnault},
journal= {arXiv preprint arXiv:hep-th/0002207},
year = {2009}
}
Comments
16 pages, minor corrections. To appear in JHEP