Gravity on a fuzzy sphere

Details Gravity on a fuzzy sphere Gravity on a fuzzy sphere

2003-06-09

arxiv.org/abs/hep-th/0306065v1

Int.J.Mod.Phys. A19 (2004) 361-370

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, no figures, LaTeX

Scientific paper

10.1142/S0217751X04017598

We propose an action for gravity on a fuzzy sphere, based on a matrix model. We find striking similarities with an analogous model of two dimensional gravity on a noncommutative plane, i.e. the solution space of both models is spanned by pure U(2) gauge transformations acting on the background solution of the matrix model, and there exist deformations of the classical diffeomorphisms which preserve the two-dimensional noncommutative gravity actions.

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