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arXiv · 1207.4675

AdS-inspired noncommutative gravity on the Moyal plane

Marija Dimitrijevic·Voja Radovanovic·Hrvoje Stefancic
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Abstract

We consider noncommutative gravity on a space with canonical noncommutativity that is based on the commutative MacDowell-Mansouri action. 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.

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Marija Dimitrijevic, Voja Radovanovic, Hrvoje Stefancic. 2012-12-06. AdS-inspired noncommutative gravity on the Moyal plane. https://doi.org/10.1103/physrevd.86.105041

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