Locally Anisotropic Supergravity and Gauge Gravity on Noncommutative Spaces

Details Locally Anisotropic Supergravity and Gauge Gravity on Noncommutative Spaces Locally Anisotropic Supergravity and Gauge Gravity on Noncommutative Spaces

2000-11-24

arxiv.org/abs/hep-th/0011221v1

S.Duplij and J. Wess (eds.), Noncommutative Structures in Mathematics and Physics (Kluwer, 2001) 229-243

Physics

High Energy Physics

High Energy Physics - Theory

latex2e, 14 pages, Contribution at NATO ARW ''Noncommutative Structures in Mathematics and Physics'', September 24-27, 2000, K

Scientific paper

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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