Supergroup formulation of Plebanski theory of gravity

Journal Article · Mon Apr 20 00:00:00 EDT 2009 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3131601· OSTI ID:21300511

Ramirez, C; Rosales, E ^[1]

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1. Facultad de Ciencias Fisico Matematicas, Universidad Autonoma de Puebla, P.O. Box 1364, 72000 Puebla (Mexico)

General relativity can be formulated as a SU(2) BF-theory with constraints, as shown by Plebanski. Jacobson has given a SL(2, C) invariant fermionic extension of it, from which supergravity turns out [6]. We present a supersymmetric, Sp(2|1) invariant extension of the theory of Plebanski. Consistency requires that the constraints are properly generalized, resulting as well the action of supergravity.

• OSTI ID: 21300511
• Journal Information: AIP Conference Proceedings, Vol. 1116, Issue 1; Conference: 13. Mexican school of particles and fields, Hermosillo (Mexico); San Carlos (Mexico), 2-11 Oct 2008; Other Information: DOI: 10.1063/1.3131601; (c) 2009 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ACTION INTEGRAL
BOSONS
COSMOLOGY
FERMIONS
GENERAL RELATIVITY THEORY
GRAVITATION
SL GROUPS
SP GROUPS
SU-2 GROUPS
SUPERGRAVITY
SUPERSYMMETRY