Background independent noncommutative gravity from Fedosov quantization of endomorphism bundle

被引：7

作者：

Dobrski, Michal ^{[1
]}

机构：

[1] Lodz Univ Technol, Inst Phys, Wolczanska 219, PL-90924 Lodz, Poland

来源：

CLASSICAL AND QUANTUM GRAVITY | 2017年 / 34卷 / 07期

关键词：

noncommutative gravity; Fedosov quantization; Fedosov manifolds; DEFORMATION QUANTIZATION;

D O I：

10.1088/1361-6382/aa5f82

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

A model of noncommutative gravity is constructed by means of Fedosov deformation quantization of an endomorphism bundle. The fields describing noncommutativity- symplectic form and symplectic connection-are dynamical, and the resulting theory is coordinate covariant and background independent. Its interpretation in terms of a Seiberg-Witten map is provided. Also, a new action for ordinary (commutative) general relativity is given, which in the present context appears as a commutative limit of noncommutative theory.

引用

页数：17

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