Special and quaternionic isometries: General couplings in N = 2 supergravity and the scalar potential

D’Auria, Riccardo; Ferrara, S.; Fré, Pietro

doi:10.1016/0550-3213(91)90077-b

Cited by 172 publications

(259 citation statements)

References 32 publications

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“…The general form of the potential is given for the case of electric charges in refs. [4,5]. This can be applied to the present (magnetically charged)…”

Section: The Scalar Potential At Large Radiusmentioning

confidence: 99%

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New vacua for type II string theory

1996

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Lorentz-invariant expectation values for antisymmetric tensor field strengths in Calabi-Yau compactification of IIA string theory are considered. These are found to impart magnetic and/or electric charges to the dilaton hypermultiplet. This results in a potential which can have supersymmetric minima at zero coupling or at conifold points in the moduli space. The latter occurs whenever the dilaton charge is aligned with that of the light black hole at the conifold. It is shown that there is a flat direction extending from the conifold along which there is a black hole condensate whose strength is of order the string coupling g s . It is speculated that these new vacua correspond to string compactification on generalized Calabi-Yau spaces which have c 1 = 0 but are not Kahler.

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“…The general form of the potential is given for the case of electric charges in refs. [4,5]. This can be applied to the present (magnetically charged)…”

Section: The Scalar Potential At Large Radiusmentioning

confidence: 99%

“…Then the form Ω i [4] constructed from the triplet of complex structures, and the corresponding potential ω i , are found to be…”

Section: The Scalar Potential At Large Radiusmentioning

confidence: 99%

New vacua for type II string theory

1996

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“…The more intrinsic definition of special Kähler geometry in terms of symplectic bundles is due to Strominger (1990), who obtained it in connection with the moduli spaces of Calabi-Yau compactifications, (see [53]). The coordinate-independent description and derivation of special Kähler geometry in the context of N = 2 supergravity is due to Castellani, D'Auria, Ferrara [54] and to D 'Auria, Ferrara, Fre' (1991) [55]. Homogenous symmetric special Kähler manifolds were classified before by Cremmer and Van Proyen in [56].…”

Section: Mathematical Theory Of the C-mapmentioning

confidence: 99%

“…Next, following closely the original derivation of [55,57] let us turn to a discussion of the triholomorphic isometries of the manifold QM associated with hypermultiplets. In D = 4 supergravity the manifold of hypermultiplet scalars QM is a Quaternionic Kähler manifold and we can gauge only those of its isometries that are triholomorphic and that either generate an abelian group G or are suitably realized as isometries also on the special manifold SK n .…”

Section: The Triholomorphic Moment Map On Quaternionic Manifoldsmentioning

confidence: 99%

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Thec-map, Tits Satake subalgebras and the search for N=2 inflaton potentials

2015

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In this paper we address the general problem of including inflationary models exhibiting Starobinskylike potentials into (symmetric) N = 2 supergravities. This is done by gauging suitable abelian isometries of the hypermultiplet sector and then truncating the resulting theory to a single scalar field. By using the characteristic properties of the global symmetry groups of the N = 2 supergravities we are able to make a general statement on the possible α-attractor models which can obtained upon truncation. We find that in symmetric N = 2 models group theoretical constraints restrict the allowed values of the parameter α to be α = 1, 2 3 , 1 3 . This confirms and generalizes results recently obtained in the literature. Our analysis heavily relies on the mathematical structure of symmetric N = 2 supergravities, in particular on the so called c-map connection between Quaternionic Kähler manifolds starting from Special Kähler ones. A general statement on the possible consistent truncations of the gauged models, leading to Starobinsky-like potentials, requires the essential help of Tits Satake universality classes. The paper is mathematically selfcontained and aims at presenting the involved mathematical structures to a public not only of physicists but also of mathematicians. To this end the main mathematical structures and the general gauging procedure of N = 2 supergravities is reviewed in some detail.

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Black Hole Entropy, Special Geometry and Strings

Mohaupt

2001

Fortschritte der Physik

183

251

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We review work done over the last years on the macroscopic and microscopic entropy of supersymmetric black holes in fourdimensional N = 2 supergravity and in N = 2 compactifications of string theory and M-theory. Particular emphasis is put on the crucial role of higher curvature terms and of modifications of the area law in obtaining agreement between the macroscopic entropy, which is a geometric property of black hole solutions and the microscopic entropy, which is computed by state counting in Calabi-Yau compactifications of string or M-theory. We also discuss invariance properties of the entropy under stringy T-duality and S-duality transformations in N = 2, 4 compactifications in presence of higher curvature terms.In order to make the paper self-contained we review the laws of black hole mechanics in higher derivative gravity, the definition of entropy as a surface charge, the superconformal offshell description of N = 2 supergravity, special geometry, and N = 2 compactifications of heterotic and type II string theory and of M-theory.

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Special and quaternionic isometries: General couplings in N = 2 supergravity and the scalar potential

Cited by 172 publications

References 32 publications

New vacua for type II string theory

New vacua for type II string theory

Thec-map, Tits Satake subalgebras and the search for N=2 inflaton potentials

Black Hole Entropy, Special Geometry and Strings

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