Background independent noncommutative gravity from Fedosov quantization of endomorphism bundle
High Energy Physics - Theory
2017-03-14 v3 General Relativity and Quantum Cosmology
Abstract
Model of noncommutative gravity is constructed by means of Fedosov deformation quantization of endomorphism bundle. The fields describing noncommutativity -- symplectic form and symplectic connection -- are dynamical, and the resulting theory is completely coordinate covariant and background independent. Its interpretation in terms of Seiberg-Witten map is provided. Also, new action for ordinary (commutative) general relativity is given, which in the present context appears as a commutative limit of noncommutative theory.
Cite
@article{arxiv.1512.04504,
title = {Background independent noncommutative gravity from Fedosov quantization of endomorphism bundle},
author = {Michal Dobrski},
journal= {arXiv preprint arXiv:1512.04504},
year = {2017}
}
Comments
22 pages, section 3.2 reworked, various minor corrections. (This is an author-created, un-copyedited version of an article accepted for publication in Clasical and Quantum Gravity)