Noncommutative Gravity in Six Dimensions
arXiv:hep-th/0607096
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 θ. This is in contrast with the results found in non-commutative gauge theories of gravity with the gauge group SO(d,1).
Latex, 10 pages
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