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Locally Anisotropic Supergravity and Gauge Gravity on Noncommutative Spaces

2000/11/24 by S. I. Vacaru, I. A. Chiosa, Nadejda A. Vicol
Physics and Astronomy · #hep-th

paper · pdf

published as S.Duplij and J. Wess (eds.), Noncommutative Structures in Mathematics and Physics (Kluwer, 2001) 229-243 · latex2e, 14 pages, Contribution at NATO ARW ''Noncommutative Structures in Mathematics and Physics'', September 24-27, 2000, Kyiv, Ukraine

arxiv created 2000/11/24 · arxiv updated 2009/11/30

Abstract

We outline the the geometry of locally anisotropic (la) superspaces and la-supergravity. The approach is backgrounded on the method of anholonomic superframes with associated nonlinear connection structure. Following the formalism of enveloping algebras and star product calculus we propose a model of gauge la-gravity on noncommutative spaces. The corresponding Seiberg-Witten maps are established which allow the definition of dynamics for a finite number of gravitational gauge field components on noncommutative spaces.

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