Noncommutative Self-dual Gravity

Details Noncommutative Self-dual Gravity Noncommutative Self-dual Gravity

2003-02-23

arxiv.org/abs/hep-th/0302180v1

Phys.Rev. D68 (2003) 044015

Physics

High Energy Physics

High Energy Physics - Theory

15+1 pages, LaTeX, no figures

Scientific paper

10.1103/PhysRevD.68.044015

Starting from a self-dual formulation of gravity, we obtain a noncommutative
theory of pure Einstein theory in four dimensions. In order to do that, we use
Seiberg-Witten map. It is shown that the noncommutative torsion constraint is
solved by the vanishing of commutative torsion. Finally, the noncommutative
corrections to the action are computed up to second order.

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