On a possible new R^2 theory of supergravity

Details On a possible new R^2 theory of supergravity On a possible new R^2 theory of supergravity

1997-02-06

arxiv.org/abs/hep-th/9702052v1

Phys.Rev. D55 (1997) 7593-7614

Physics

High Energy Physics

High Energy Physics - Theory

52 pages, Latex

Scientific paper

10.1103/PhysRevD.55.7593

We consider a new MacDowell-Mansouri R^2-type of 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.

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