Noncommutative Gravity in two Dimensions

Abstract

We deform two-dimensional topological gravity by making use of its gauge theory formulation. The obtained noncommutative gravity model is shown to be invariant under a class of transformations that reduce to standard diffeomorphisms once the noncommutativity parameter is set to zero. Some solutions of the deformed model, like fuzzy AdS_2, are obtained. Furthermore, the transformation properties of the model under the Seiberg-Witten map are studied.

20 pages, LaTeX, references and some comments added

References in corpus (3)

• Noncommutative Field Theory
• On Level Quantization for the Noncommutative Chern-Simons Theory
• Three-dimensional Noncommutative Gravity

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