Symmetry, Gravity and Noncommutativity

Details Symmetry, Gravity and Noncommutativity Symmetry, Gravity and Noncommutativity

2006-06-23

arxiv.org/abs/hep-th/0606233v2

Class.Quant.Grav.23:R199-R242,2006

Physics

High Energy Physics

High Energy Physics - Theory

52 pages; Invited review article to be published in Classical and Quantum Gravity; v2: references added

Scientific paper

10.1088/0264-9381/23/22/R01

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.

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