Noncommutative Topological and Einstein Gravity from Noncommutative SL(2, ℂ) BF Theory

Details Noncommutative Topological and Einstein Gravity from Noncommutative SL(2, ℂ) BF Theory Noncommutative Topological and Einstein Gravity from Noncommutative SL(2, ℂ) BF Theory

Aug 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006tmpg.conf..217g&link_type=abstract

Topics in Mathematical Physics, General Relativity and Cosmology in Honor of Jerzy Plebański. Proceedings of 2002 International

Mathematics

Mathematical Physics

Scientific paper

In this contribution a noncommutative deformation of topological BF theory is formulated. Noncom-mutative topological gravity and noncommutative self-dual gravity are surveyed as examples of this BF theory. In the procedure it is shown that self-duality enters as a central ingredient that facilitates the construction of invariant noncommutative actions. In the dynamical case, the procedure constitutes a proposal for constructing noncommutative full Einstein theory.

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