On (spinor)-helicity and bosonization in AdS4/CFT3

Abstract

Helicity is a useful concept both for AdS4 and CFT3 studies. We work out the complete AdS4/CFT3 dictionary for spinning fields/operators in the spinor-helicity base that allows one to scalarize any n-point contact vertex. AdS4-vertices encode correlation functions of conserved currents, stress-tensor and, more generally, higher spin currents in a simple way. We work out the dictionary for Yang-Mills- and gravity-type theories with higher derivative corrections as well as some higher spin examples and exemplify the relation to the three-dimensional bosonization duality. The bosonization can be understood as a simple surgery: vertices/correlators are built via an EM-duality transformation by sewing together (anti)-Chiral higher spin gravities, to whose existence the three-dimensional bosonization duality can be attributed (up to the proof of uniqueness).