Gravity on a fuzzy sphere
High Energy Physics - Theory
2009-11-10 v1
Abstract
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.
Cite
@article{arxiv.hep-th/0306065,
title = {Gravity on a fuzzy sphere},
author = {Paolo Valtancoli},
journal= {arXiv preprint arXiv:hep-th/0306065},
year = {2009}
}
Comments
14 pages, no figures, LaTeX