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arXiv · 0807.2841

The Superconformal Gaugings in Three Dimensions

Eric A. Bergshoeff·Olaf Hohm·Diederik Roest·Henning Samtleben·Ergin Sezgin
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Abstract

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) and D(2|1;α). 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.

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Eric A. Bergshoeff, Olaf Hohm, Diederik Roest, Henning Samtleben, Ergin Sezgin. 2008-09-24. The Superconformal Gaugings in Three Dimensions. https://doi.org/10.1088/1126-6708%2F2008%2F09%2F101

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