Twisted Covariant Noncommutative Self-dual Gravity
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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 $θ$-expansion in terms of the tetrad and some extra fields of the theory. In the process the first order expansion in $θ$ for the Plebański action is explicitly obtained.
23+1 pages, no figures, corrected typos, references and Appendix B is added
23+1 pages, no figures, corrected typos, references and Appendix B is added