Noncommutative Geometry and Gravity
高能物理 - 理论
2009-11-11 v2 广义相对论与量子宇宙学
微分几何
量子代数
摘要
We study a deformation of infinitesimal diffeomorphisms of a smooth manifold. The deformation is based on a general twist. This leads to a differential geometry on a noncommutative algebra of functions whose product is a star-product. The class of noncommutative spaces studied is very rich. Non-anticommutative superspaces are also briefly considered. The differential geometry developed is covariant under deformed diffeomorphisms and it is coordinate independent. The main target of this work is the construction of Einstein's equations for gravity on noncommutative manifolds.
关键词
引用
@article{arxiv.hep-th/0510059,
title = {Noncommutative Geometry and Gravity},
author = {Paolo Aschieri and Marija Dimitrijevic and Frank Meyer and Julius Wess},
journal= {arXiv preprint arXiv:hep-th/0510059},
year = {2009}
}
备注
40pages; v2: references added