Dual Description of Supergravity MacDowell-Mansouri Theory

Details Dual Description of Supergravity MacDowell-Mansouri Theory Dual Description of Supergravity MacDowell-Mansouri Theory

1998-12-18

arxiv.org/abs/hep-th/9812175v2

Phys.Rev. D59 (1999) 124003

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, LaTeX file, no figures, minor comments and one reference added

Scientific paper

10.1103/PhysRevD.59.124003

In the context of field theory two elements seem to be necessary to search for strong-weak coupling duality. First, a gauge theory formulation and second, supersymmetry. For gravitation these two elements are present in MacDowell-Mansouri supergravity. The search for an "effective duality" in this theory presents technical and conceptual problems that we discuss. Nevertheless, by means of a field theoretical approach, which in the abelian case coincides with $S$-duality, we exhibit a dual theory, with inverted couplings. This results in a supersymmetric non-linear sigma model of the Freedman-Townsend type.

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