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.
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