Noncommutative Theories, Seiberg-Witten Map and Gravity

Abstract

We review the connection between noncommutative field theories and gravity. When the noncommutativity is induced by the Moyal product we can use the Seiberg-Witten map in order to deal with ordinary fields. We then show that the effect of the noncommutativity is the same as a field dependent gravitational background. The gravitational background is that of a gravitational plane wave and the coupling is charge dependent. Uncharged fields couple more strongly than the charged ones. Deviations from the usual dispersion relations are discussed and we show that they are also charge dependent.

6 pages, talk presented at: Second International Conference on Fundamental Interactions, Pedra Azul, June 6-12, 2004; Fourth International Winter Conference on Mathematical Methods in Physics, CBPF, Rio de Janeiro, August 9-13, 2004; Second Mexican Meeting on Mathematical and Experimental Physics, El Colegio Nacional, Mexico City, September 6-10, 2004

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