The Superconformal Gaugings in Three Dimensions

Understand

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).