Three-dimensional topologically gauged N=6 ABJM type theories

Understand

In this paper we construct the $\mathcal N=6$ conformal supergravity in three dimensions from a set of Chern-Simons-like terms one for each of the graviton, gravitino, and R-symmetry gauge field and then couple this theory to the $\mathcal N=6$ superconformal ABJM theory.

• In a first step part of the coupled Lagrangian for this topologically gauged ABJM theory is derived by demanding that all terms of third and second order in covariant derivatives cancel in the supersymmtry variation of the Lagrangian.
• To achieve this the transformation rules of the two separate sectors must be augmented by new terms.
• In a second step we analyze all terms in $\delta L$ that are of first order in covariant derivatives.