The superconformal gaugings in three dimensions

Eric A Bergshoeff, Olaf Hohm, Diederik Roest, Henning Samtleben, Ergin Sezgin
2008 Journal of High Energy Physics  
We show how three-dimensional superconformal theories for any number N <= 8 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)
more » ... d D(2|1;\alpha). 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.
doi:10.1088/1126-6708/2008/09/101 fatcat:fmlejde2xrabvep3scrorbge6a