Locally anisotropic supergravity and gauge gravity on noncommutative spaces. (English) Zbl 1248.83095
Duplij, Steven (ed.) et al., Noncommutative structures in mathematics and physics. Dordrecht: Kluwer Academic Publishers (ISBN 0-7923-6998-X). NATO Sci. Ser. II, Math. Phys. Chem. 22, 229-243 (2001).
Summary: We outline the the geometry of locally anisotropic (Ia) superspaces and Ia-supergravity. The approach is based 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.
For the entire collection see [Zbl 0964.00024].
For the entire collection see [Zbl 0964.00024].
MSC:
| 83C65 | Methods of noncommutative geometry in general relativity |
| 83E50 | Supergravity |
| 81T75 | Noncommutative geometry methods in quantum field theory |
| 46L87 | Noncommutative differential geometry |
