Noncommutative Gravity in two Dimensions
High Energy Physics - Theory
2009-11-07 v2 General Relativity and Quantum Cosmology
Abstract
We deform two-dimensional topological gravity by making use of its gauge theory formulation. The obtained noncommutative gravity model is shown to be invariant under a class of transformations that reduce to standard diffeomorphisms once the noncommutativity parameter is set to zero. Some solutions of the deformed model, like fuzzy AdS_2, are obtained. Furthermore, the transformation properties of the model under the Seiberg-Witten map are studied.
Cite
@article{arxiv.hep-th/0203038,
title = {Noncommutative Gravity in two Dimensions},
author = {S. Cacciatori and A. H. Chamseddine and D. Klemm and L. Martucci and W. A. Sabra and D. Zanon},
journal= {arXiv preprint arXiv:hep-th/0203038},
year = {2009}
}
Comments
20 pages, LaTeX, references and some comments added