More on N = 8 attractors

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We analyze some properties of the four dimensional supergravity theories which originate from five dimensions upon reduction. They generalize to N > 2 extended supersymmetries the d-geometries with cubic prepotentials, familiar from N=2 special Kähler geometry. We emphasize the role of a suitable parametrization of the scalar fields and the corresponding triangular symplectic basis. We also consider applications to the first order flow equations for non-BPS extremal black holes.

Section: Introductionmentioning

confidence: 99%

d-geometries revisited

Ceresole

Ferrara

Gnecchi

et al. 2013

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“…It is worth recalling that the case n = 0 of the truncation (6.6) has been considered in section 5 of [68] (see also the considerations in subsection 8.3.1).…”

Section: Jhep06(2012)074mentioning

confidence: 99%

“…, 4) (see e.g. [39,[66][67][68]). In group-theoretical terms, the "degeneration" truncating procedure under consideration goes as follows:…”

Section: Jhep06(2012)074mentioning

confidence: 99%

Degeneration of groups of type E 7 and minimal coupling in supergravity

Ferrara

Каллош

Marrani

2012

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Abstract:We study properties of D = 4 N 2 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 E 7 , when the corresponding quartic invariant polynomial built from the symplectic irreducible representation of G 4 "degenerates" into a perfect square. With regard to cosmological applications, minimal coupling of vectors in consistent truncation to N = 1 from higher-dimensional or higher-N theory is non-generic. On the other hand, 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.

“…The attractor mechanism [43] (see also the more recent reference [44]) has been one of the main tools for the study of supersymmetric black-hole solutions. Our results establish a clear distinction between the scalars which are driven by the electric and magnetic charges of the vector fields (which would belong to the would-be vector multiplets of the associated N = 2 truncation) and, therefore, subject to the attractor mechanism, and those that are not (which would belong to the would-be hypermultiplets of the associated N = 2 truncation).…”

Section: Discussionmentioning

confidence: 99%

All the timelike supersymmetric solutions of all ungauged d = 4 supergravities

Meessen

Ortı́n

Vaulá

2010

We determine the form of all timelike supersymmetric solutions of all N ≥ 2, d = 4 ungauged supergravities, for N ≤ 4 coupled to vector supermultiplets, using the Usp(n,n)-symmetric formulation of Andrianopoli, D'Auria and Ferrara and the spinor-bilinears method, while preserving the global symmetries of the theories all the way.As previously conjectured in the literature, the supersymmetric solutions are always associated to a truncation to an N = 2 theory that may include hypermultiplets, although fields which are eliminated in the truncations can have non-trivial values, as is required by the preservation of the global symmetry of the theories.The solutions are determined by a number of independent functions, harmonic in transverse space, which is twice the number of vector fields of the theory (n). The transverse space is flat if an only if the would-be hyperscalars of the associated N = 2 truncation are trivial.