Degeneration of Groups of Type E7 and Minimal Coupling in Supergravity

Details Degeneration of Groups of Type E7 and Minimal Coupling in Supergravity Degeneration of Groups of Type E7 and Minimal Coupling in Supergravity

2012-02-06

arxiv.org/abs/1202.1290v1

Physics

High Energy Physics

High Energy Physics - Theory

1+40 pages, 5 Tables

Scientific paper

We study properties of D = 4, N >1 extended supergravities (and related compactifications of superstring theory) and their consistent truncation to the phenomenologically interesting models of N = 1 supergravity. This involves a detailed classification of the "degenerations" of the duality groups of type E7, when the corresponding quartic invariant polynomial built from the symplectic irreducible representation of G4 "degenerates" into a perfect square. With regard to cosmological applications, we conclude that the consistent truncation to N = 1 from higher-dimensional or higher-N theory gives a zero measure minimal coupling of vectors. A non-minimal coupling involving vectors coupled to scalars and axions is generic. These features of supergravity, following from the electric-magnetic duality, may be useful in other applications, like stabilization of moduli, and in studies of non-perturbative black-hole solutions of supergravity/string theory.

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