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Phys. Rev. D 59, 041501(R) (1999) [4 pages]

Self-dual gravity and self-dual Yang-Mills theory in the context of the Macdowell-Mansouri formalism

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J. A. Nieto*
Facultad de Ciencias Físico-Matemáticas de la Universidad Autónoma de Sinaloa, C.P. 80010, Culiacán, Sinaloa, Mexico

J. Socorro
Instituto de Física de la Universidad de Guanajuato, Apartado Postal E-143, C.P. 37150, León, Guanajuato, Mexico

Received 15 July 1998; published 21 January 1999

In this work we propose an action which unifies self-dual gravity and self-dual Yang-Mills theory in the context of the Macdowell-Mansouri formalism. We claim that such an action may be used to find the S-dual action for both self-dual gravity and self-dual Yang-Mills theory.

© 1999 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.59.041501
DOI:
10.1103/PhysRevD.59.041501
PACS:
04.50.+h

*Email address: nieto@uas.uasnet.mx

Email address: socorro@ifug4.ugto.mx