General matter coupled N = 2 supergravity

Andrianopoli, Laura Maria; Bertolini, Matteo; Ceresole, Anna; D’Auria, Riccardo; Ferrara, S.; Fré, Pietro

doi:10.1016/0550-3213(96)00344-6

Cited by 115 publications

(236 citation statements)

References 43 publications

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“…Using for example the identities found in [34], one may check that (2.13) is consistent with the general form of the scalar potential induced by Fayet-Iliopoulos terms in four dimensions [35,36],…”

Section: Jhep05(2008)045mentioning

confidence: 99%

5D black holes and non-linear sigma models

Berkooz

Pioline

2008

J. High Energy Phys.

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Stationary solutions of 5D supergravity with U(1) isometry can be efficiently studied by dimensional reduction to three dimensions, where they reduce to solutions to a locally supersymmetric non-linear sigma model. We generalize this procedure to 5D gauged supergravity, and identify the corresponding gauging in 3D. We pay particular attention to the case where the Killing spinor is non constant along the fibration, which results, even for ungauged supergravity in 5D, in an additional gauging in 3D, without introducing any extra potential. We further study SU(2) × U(1) symmetric solutions, which correspond to geodesic motion on the sigma model (with potential in the gauged case). We identify and study the algebra of BPS constraints relevant for the Breckenridge-Myers-Peet-Vafa black hole, the Gutowski-Reall black hole and several other BPS solutions, and obtain the corresponding radial wave functions in the semi-classical approximation.

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Section: Jhep05(2008)045mentioning

confidence: 99%

5D black holes and non-linear sigma models

Berkooz

Pioline

2008

J. High Energy Phys.

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“…The 4n h scalars in the hypermultiplets are coordinates on a quaternionic manifold [35,33]. This implies the existence of three (almost) complex structures (J x ) w v , x = 1, 2, 3 which satisfy the quaternionic algebra.…”

Section: Jhep01(2001)011mentioning

confidence: 99%

“…[33] derived the five-dimensional gauged N = 2 supergravity including vector-, tensor-and hypermultiplets. Many aspects of these discussions go in parallel to domain walls in 4-dimensional gauged supergravity [34,35].…”

Section: Jhep01(2001)011mentioning

confidence: 99%

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Domain walls in five dimensional supergravity with non-trivial hypermultiplets

Behrndt

Herrmann

Louis

et al. 2001

J. High Energy Phys.

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“…The scalar potential has the general form given in [29], which can be modified in the following symplectic invariant fashion [30,31,25,32,33,34]:…”

Section: N = 2 Gaugingmentioning

confidence: 99%

A search for an \documentclass{article}\usepackage{amssymb}\pagestyle{empty}\begin{document}$ \mathcal{N} =2 $\end{document} inflaton potential

Ceresole¹,

Dall’Agata²,

Ferrara³

et al. 2014

Fortschritte der Physik

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We consider N = 2 supergravity theories that have the same spectrum as the R + R 2 supergravity, as predicted from the off-shell counting of degrees of freedom. These theories describe standard N = 2 supergravity coupled to one or two long massive vector multiplets. The central charge is not gauged in these models and they have a Minkowski vacuum with N = 2 unbroken supersymmetry. The gauge symmetry, being non-compact, is always broken. α-deformed inflaton potentials are obtained, in the case of a single massive vector multiplet, with α = 1/3 and 2/3. The α = 1 potential (i.e. the Starobinsky potential) is also obtained, but only at the prize of having a single massive vector and a residual unbroken gauge symmetry. The inflaton corresponds to one of the Cartan fields of the non-compact quaternionic-Kähler cosets.

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General matter coupled N = 2 supergravity

Cited by 115 publications

References 43 publications

5D black holes and non-linear sigma models

5D black holes and non-linear sigma models

Domain walls in five dimensional supergravity with non-trivial hypermultiplets

A search for an \documentclass{article}\usepackage{amssymb}\pagestyle{empty}\begin{document}$ \mathcal{N} =2 $\end{document} inflaton potential

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