Phys. Rev. D 59, 124003 (1999) [6 pages]Dual description of supergravity MacDowell-Mansouri theoryReceived 18 December 1998; published 3 May 1999 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 nonlinear σ model of the Freedman-Townsend type. © 1999 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.59.124003
DOI:
10.1103/PhysRevD.59.124003
PACS:
04.60.-m, 04.65.+e, 11.15.-q, 11.30.Ly
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