Marija Dimitrijevic Voja Radovanovic, Hrvoje Stefancic
We consider noncommutative gravity on a space with canonical noncommutativity that is based on the commutative AdS gravity. Gravity is treated as gauge theory of the noncommutative $SO(1,3)_\star$ group and the Seiberg-Witten (SW) map is used to express noncommutative fields in terms of the corresponding commutative fields. In the commutative limit the noncommutative action reduces to the Einstein-Hilbert action plus the cosmological term and the topological Gauss-Bonnet term. After the SW expansion in the noncommutative parameter the first order correction to the action, as expected, vanishes. We calculate the second order correction and write it in a manifestly gauge covariant way.
View original:
http://arxiv.org/abs/1207.4675
No comments:
Post a Comment