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

TL;DR

This paper demonstrates that the full $ ext{N}=6$ superconformal algebra of the ABJM theory remains intact at the quantum level when conformally coupled to curved backgrounds admitting twistor spinors, using BV-BRST methods.

Contribution

It proves the quantum persistence of the superconformal symmetry algebra for the ABJM theory on curved backgrounds with twistor spinors.

Findings

Superconformal algebra persists at quantum level

BV-BRST method confirms symmetry preservation

Supports rigid supersymmetry on curved backgrounds

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.