Symmetry, gravity and noncommutativity
By R. Szabo. 2006
178 citations recorded by the source corpus.
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.
Subfields: Mathematical Physics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/2027408624aa978e2c6553c12d3733a4e1849a4a
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In Mathematical Physics
In Nuclear and High Energy Physics
In Statistical and Nonlinear Physics
Citations in the corpus
- Emergent gravity from noncommutative gauge theory (2007, background): “While several formulations of NC gravity have been proposed by deforming various formulations of general relativity [17–25], a simple and compelling mechanism would be very desirable.”
- Membrane sigma-models and quantization of non-geometric flux backgrounds (2012, background): “6) we can define a new function f for every function f by [54, 83]”
- Yang-Baxter deformations, AdS/CFT, and twist-noncommutative gauge theory (2015, unknown): “spond to spacetime symmetries of N= 4 SYM, the answer to this question naturally lies in the realm of noncommutative field theory5 in the twist formalism [33,34], see also e.g. [35–37] and the reviews [38,39]. In this formulation we start from the usual Hopf algebra based on vector fields on spacetime”