All partial breakings in ${\cal N}=2$ supergravity with a single hypermultiplet

Abstract : We consider partial supersymmetry breaking in ${\cal N}=2$ supergravity coupled to a single vector and a single hypermultiplet. This breaking pattern is in principle possible if the quaternion-K\"ahler space of the hypermultiplet admits (at least) one pair of commuting isometries. For this class of manifolds, explicit metrics exist and we analyse a generic electro-magnetic (dyonic) gauging of the isometries. An example of partial breaking in Minkowski spacetime has been found long ago by Ferrara, Girardello and Porrati, using the gauging of two translation isometries on $SO(4,1)/SO(4)$. We demonstrate that no other example of partial breaking of ${\cal N}=2$ supergravity in Minkowski spacetime exists. We also examine partial-breaking vacua in anti-de Sitter spacetime that are much less constrained and exist generically even for electric gaugings. On $SO(4,1)/SO(4)$, we construct the partially-broken solution and its global limit which is the Antoniadis-Partouche-Taylor model.
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Pré-publication, Document de travail
2018
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https://hal.archives-ouvertes.fr/hal-01833799
Contributeur : Inspire Hep <>
Soumis le : mardi 10 juillet 2018 - 01:44:00
Dernière modification le : lundi 16 juillet 2018 - 04:39:05

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Ignatios Antoniadis, Jean-Pierre Derendinger, P. Petropoulos, Konstantinos Siampos. All partial breakings in ${\cal N}=2$ supergravity with a single hypermultiplet. 2018. 〈hal-01833799〉

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