Possible new R2 theory of supergravity

Tobias Hurth, Peter van Nieuwenhuizen, Andrew Waldron, and Christian Preitschopf
Phys. Rev. D 55, 7593 – Published 15 June 1997
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Abstract

We consider a new MacDowell-Mansouri R2-type supergravity theory, an extension of conformal supergravity, based on the superalgebra Osp(1|8). Invariance under local symmetries with negative Weyl weight is achieved by imposing chirality-duality and double-duality constraints on curvatures, along with the usual constraint of vanishing supertorsion. An analysis of the remaining gauge symmetries shows that those with vanishing Weyl weight are invariances of the action at the linearized level. For the symmetries with positive Weyl weight we find that invariance of the action would require further modifications of the transformation rules. This conclusion is supported by a kinematical analysis of the closure of the gauge algebra.

  • Received 6 February 1997

DOI:https://doi.org/10.1103/PhysRevD.55.7593

©1997 American Physical Society

Authors & Affiliations

Tobias Hurth, Peter van Nieuwenhuizen, and Andrew Waldron

  • Institute for Theoretical Physics, State University of New York at Stony Brook, Stony Brook, New York 11794-3840

Christian Preitschopf

  • Institut für Physik, Humboldt-Universität zu Berlin, Invalidenstrasse 110, D-10115 Berlin, Germany

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Issue

Vol. 55, Iss. 12 — 15 June 1997

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