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
Contributor : Henning Samtleben
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Submitted on : Thursday, July 17, 2008 - 12:57:11 PM
Last modification on : Thursday, April 19, 2018 - 2:54:03 PM
Long-term archiving on : Thursday, October 4, 2012 - 10:33:35 AM
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⟩
