Self-consistency of Conformally Coupled ABJM Theory at the Quantum Level

Abstract

We study the $\mathcal{N}=6$ superconformal Chern-Simons matter field theory (the ABJM theory) conformally coupled to a Lorentzian, curved background spacetime. To support rigid supersymmetry, such backgrounds have to admit twistor spinors. At the classical level, the symmetry of the theory can be described by a conformal symmetry superalgebra. We show that the full $\mathcal{N}=6$ superconformal algebra persists at the quantum level using the BV-BRST method.

References in corpus (4)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Studies of the ABJM Theory in a Formulation with Manifest SU(4) R-Symmetry
• Superconformal invariance from N=2 supersymmetry Ward identities
• Supersymmetric renormalization prescription in N = 4 super-Yang--Mills theory