Noncommutative Einstein-AdS Gravity in three Dimensions

Details Noncommutative Einstein-AdS Gravity in three Dimensions Noncommutative Einstein-AdS Gravity in three Dimensions

2002-01-15

arxiv.org/abs/hep-th/0201103v3

Phys.Lett. B536 (2002) 101-106

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, LaTeX, minor errors corrected, references added

Scientific paper

10.1016/S0370-2693(02)01823-3

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.

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