English

Twisted Covariant Noncommutative Self-dual Gravity

High Energy Physics - Theory 2008-12-30 v2

Abstract

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\theta-expansion in terms of the tetrad and some extra fields of the theory. In the process the first order expansion in θ\theta for the Pleba\'nski action is explicitly obtained.

Keywords

Cite

@article{arxiv.0808.0211,
  title  = {Twisted Covariant Noncommutative Self-dual Gravity},
  author = {S. Estrada-Jimenez and H. Garcia-Compean and O. Obregon and C. Ramirez},
  journal= {arXiv preprint arXiv:0808.0211},
  year   = {2008}
}

Comments

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

R2 v1 2026-06-21T11:06:55.540Z