# All partial breakings in N=2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathcal{N}=2$$\end{document} supergravity with a single hypermultiplet

Authors
• 1 Laboratoire de Physique Théorique et Hautes Energies — LPTHE, Sorbonne Université, CNRS, 4 place Jussieu, Paris, 75005, France , Paris (France)
• 2 University of Bern, Albert Einstein Center for Fundamental Physics, Institute for Theoretical Physics, Sidlerstrasse 5, Bern, 3012, Switzerland , Bern (Switzerland)
• 3 Centre de Physique Théorique, Ecole Polytechnique, CNRS UMR 7644, Palaiseau Cedex, 91128, France , Palaiseau Cedex (France)
• 4 CERN, Theoretical Physics Department, Geneva 23, 1211, Switzerland , Geneva 23 (Switzerland)
Type
Published Article
Journal
Journal of High Energy Physics
Publisher
Springer-Verlag
Publication Date
Aug 10, 2018
Volume
2018
Issue
8
Identifiers
DOI: 10.1007/JHEP08(2018)045
Source
Springer Nature
Keywords
We consider partial supersymmetry breaking in N=2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathcal{N}=2$$\end{document} supergravity coupled to a single vector and a single hypermultiplet. This breaking pattern is in principle possible if the quaternion-Kähler 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 N=2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathcal{N}=2$$\end{document} 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.