Noncommutative Gravity in Six Dimensions
High Energy Physics - Theory
2007-05-23 v2
Abstract
A gauge theory of gravity is defined in 6 dimensional non-commutative space-time. The gauge group is the unitary group U(2,2), which contains the homogeneous Lorentz group, SO(4,2), in 6 dimensions as a subgroup. It is shown that, after the Seiberg-Witten map, in the corresponding theory the lowest order corrections are first order in the non-commutativity parameter \theta. This is in contrast with the results found in non-commutative gauge theories of gravity with the gauge group SO(d,1).
Cite
@article{arxiv.hep-th/0607096,
title = {Noncommutative Gravity in Six Dimensions},
author = {Cemsinan Deliduman},
journal= {arXiv preprint arXiv:hep-th/0607096},
year = {2007}
}
Comments
Latex, 10 pages