N = 2 supersymmetric partially massless fields and other exotic non-unitary superconformal representations

A bstract We find and classify the simplest N N = 2 SUSY multiplets on AdS 4 which contain partially massless fields. We do this by studying representations of the N N = 2, d = 3 superconformal algebra of the boundary, including new shortening conditions that arise in the non-unitary regime. Unlike the N N = 1 case, the simplest N N = 2 multiplet containing a partially massless spin-2 is short, containing several exotic fields. More generally, we argue that N N = 2 supersymmetry allows for short multiplets that contain partially massless spin- s particles of depth t = s − 2.