Symmetry, gravity and noncommutativity

被引：157

作者：

Szabo, Richard J.

机构：

[1] Heriot Watt Univ, Dept Math, Edinburgh EH14 4AS, Midlothian, Scotland

[2] Heriot Watt Univ, Maxwell Inst Math Sci, Edinburgh EH14 4AS, Midlothian, Scotland

来源：

CLASSICAL AND QUANTUM GRAVITY | 2006年 / 23卷 / 22期

关键词：

D O I：

10.1088/0264-9381/23/22/R01

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We review some aspects of the implementation of spacetime symmetries in noncommutative field theories, emphasizing their origin in string theory and how they may be used to construct theories of gravitation. The geometry of canonical noncommutative gauge transformations is analysed in detail and it is shown how noncommutative Yang-Mills theory can be related to a gravity theory. The construction of twisted spacetime symmetries and their role in constructing a noncommutative extension of general relativity is described. We also analyse certain generic features of noncommutative gauge theories on D-branes in curved spaces, treating several explicit examples of superstring backgrounds.

引用

页码：R199 / R242

页数：44

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