Twisted Covariant Noncommutative Self-dual Gravity

Details Twisted Covariant Noncommutative Self-dual Gravity Twisted Covariant Noncommutative Self-dual Gravity

2008-08-01

arxiv.org/abs/0808.0211v2

Phys.Rev.D78:124008,2008

Physics

High Energy Physics

High Energy Physics - Theory

23+1 pages, no figures, corrected typos, references and Appendix B is added

Scientific paper

10.1103/PhysRevD.78.124008

A twisted covariant formulation of noncommutative self-dual gravity is presented. The formulation for constructing twisted noncommutative Yang-Mills theories is used. It is shown that the noncommutative torsion is solved at any order of the $\theta$-expansion in terms of the tetrad and some extra fields of the theory. In the process the first order expansion in $\theta$ for the Pleba\'nski action is explicitly obtained.

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