Abstract : We show how three-dimensional superconformal theories for any number N<9 of supersymmetries can be obtained by taking a conformal limit of the corresponding three-dimensional gauged supergravity models. The superconformal theories are characterized by an embedding tensor that satisfies a linear and quadratic constraint. We analyze these constraints and give the general solutions for all cases. We find new N=4,5 superconformal theories based on the exceptional Lie superalgebras F(4), G(3) and D(2|1;a). Using the supergravity connection we discuss which massive deformations to expect. As an example we work out the details for the case of N=6 supersymmetry.
https://hal-ens-lyon.archives-ouvertes.fr/ensl-00299637
Contributeur : Henning Samtleben
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Soumis le : jeudi 17 juillet 2008 - 12:57:11
Dernière modification le : jeudi 19 avril 2018 - 14:54:03
Document(s) archivé(s) le : jeudi 4 octobre 2012 - 10:33:35
Eric Bergshoeff, Olaf Hohm, Diederik Roest, Henning Samtleben, Ergin Sezgin. The Superconformal Gaugings in Three Dimensions. Journal of High Energy Physics, Springer, 2008, pp.101. 〈10.1088/1126-6708/2008/09/101〉. 〈ensl-00299637〉
