Gauge Theory of Supergravity Based Only on a Self-Dual Spin Connection

J. A. Nieto, J. Socorro, and O. Obregón
Phys. Rev. Lett. 76, 3482 – Published 6 May 1996
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Abstract

A gauge theory of supergravity is constructed based only on the supersymmetric self-dual spin connection associated to the supergroup OSp (1|4). We show that Jacobson's supergravity action arises naturally from our proposed action. It is formulated by taking the self-dual part of the MacDowell-Mansouri gauge theory of supergravity. In this sense, our quadratic action in the supersymmetric self-dual curvature tensor provides a relation between these two important previous extensions of supergravity.

  • Received 7 February 1996

DOI:https://doi.org/10.1103/PhysRevLett.76.3482

©1996 American Physical Society

Authors & Affiliations

J. A. Nieto1, J. Socorro2, and O. Obregón2,3

  • 1Area of Superstrings, Escuela de Ciencias Físico-Matemáticas de la Universidad Michoacana de San Nicolás de Hidalgo, P.O. Box 749, 58000, Morelia, Michoacán, Mexico
  • 2Instituto de Física de la Universidad de Guanajuato, P.O. Box E-143, 37150, León, Gto., Mexico
  • 3Depto. de Física, Universidad Autónoma Metropolitana-Iztapalapa, P.O. Box 55-534, 09340, D.F., México, Mexico

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Issue

Vol. 76, Iss. 19 — 6 May 1996

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