The Superconformal Gaugings in Three Dimensions

Details The Superconformal Gaugings in Three Dimensions The Superconformal Gaugings in Three Dimensions

2008-07-17

arxiv.org/abs/0807.2841v2

JHEP0809:101,2008

Physics

High Energy Physics

High Energy Physics - Theory

22 pages; v2: refs. added, minor corrections, version published in JHEP

Scientific paper

10.1088/1126-6708/2008/09/101

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;\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.

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