Noncommutative Einstein-AdS Gravity in three Dimensions
High Energy Physics - Theory
2009-11-07 v3 General Relativity and Quantum Cosmology
Abstract
We present a Lorentzian version of three-dimensional noncommutative Einstein-AdS gravity by making use of the Chern-Simons formulation of pure gravity in 2+1 dimensions. The deformed action contains a real, symmetric metric and a real, antisymmetric tensor that vanishes in the commutative limit. These fields are coupled to two abelian gauge fields. We find that this theory of gravity is invariant under a class of transformations that reduce to standard diffeomorphisms once the noncommutativity parameter is set to zero.
Keywords
Cite
@article{arxiv.hep-th/0201103,
title = {Noncommutative Einstein-AdS Gravity in three Dimensions},
author = {S. Cacciatori and D. Klemm and L. Martucci and D. Zanon},
journal= {arXiv preprint arXiv:hep-th/0201103},
year = {2009}
}
Comments
11 pages, LaTeX, minor errors corrected, references added