Noncommutative Gravity in two Dimensions
classification
✦ hep-th
gr-qc
keywords
gravitymodelnoncommutativeobtainedunderclassdeformdeformed
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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.
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