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APS » Journals » Phys. Rev. D » Volume 78 » Issue 12
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Phys. Rev. D 78, 124008 (2008) [11 pages]

Twisted covariant noncommutative self-dual gravity

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S. Estrada-Jiménez*
Centro de Estudios en Física y Matemáticas Básicas y Aplicadas, Universidad Autónoma de Chiapas, Calle 4 Oriente Norte 1428, Tuxtla Gutiérrez, Chiapas, México

H. García-Compeán†
Departamento de Física, Centro de Investigación y de Estudios Avanzados del IPN, P.O. Box 14-740, 07000 México D.F., México, and Centro de Investigación y de Estudios Avanzados del IPN, Unidad Monterrey, PIIT, Vía del Conocimiento 201, Autopista nueva al Aeropuerto km 9.5, 66600, Apodaca Nuevo León, México

O. Obregón‡
Instituto de Física de la Universidad de Guanajuato, P.O. Box E-143, 37150, León Gto., México

C. Ramírez§
Facultad de Ciencias Físico Matemáticas, Universidad Autónoma de Puebla, P.O. Box 1364, 72000, Puebla, México

Received 19 September 2008; published 10 December 2008

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.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.78.124008
DOI:
10.1103/PhysRevD.78.124008
PACS:
04.70.Dy, 04.30.Nk, 04.62.+v, 11.10.Nx

*sendic@fis.cinvestav.mx

†compean@fis.cinvestav.mx

‡octavio@fisica.ugto.mx

§cramirez@fcfm.buap.mx

 
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