Noncommutative Self-dual Gravity
High Energy Physics - Theory
2009-11-10 v1
Abstract
Starting from a self-dual formulation of gravity, we obtain a noncommutative theory of pure Einstein theory in four dimensions. In order to do that, we use Seiberg-Witten map. It is shown that the noncommutative torsion constraint is solved by the vanishing of commutative torsion. Finally, the noncommutative corrections to the action are computed up to second order.
Cite
@article{arxiv.hep-th/0302180,
title = {Noncommutative Self-dual Gravity},
author = {H. Garcia-Compean and O. Obregon and C. Ramirez and M. Sabido},
journal= {arXiv preprint arXiv:hep-th/0302180},
year = {2009}
}
Comments
15+1 pages, LaTeX, no figures