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arXiv · hep-th/0201103

Noncommutative Einstein-AdS Gravity in three Dimensions

S. Cacciatori·D. Klemm·L. Martucci·D. Zanon
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Abstract

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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S. Cacciatori, D. Klemm, L. Martucci, D. Zanon. 2002-06-13. Noncommutative Einstein-AdS Gravity in three Dimensions. https://doi.org/10.1016/s0370-2693(02)01823-3

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