\(\mathcal{N} = 2\) supersymmetric partially massless fields and other exotic non-unitary superconformal representations. (English) Zbl 1469.81068
Summary: We find and classify the simplest \(\mathcal{N} = 2\) SUSY multiplets on \(AdS_4\) which contain partially massless fields. We do this by studying representations of the \(\mathcal{N} = 2\), \( d = 3\) superconformal algebra of the boundary, including new shortening conditions that arise in the non-unitary regime. Unlike the \(\mathcal{N} = 1\) case, the simplest \(\mathcal{N} = 2\) multiplet containing a partially massless spin-2 is short, containing several exotic fields. More generally, we argue that \(\mathcal{N} = 2\) supersymmetry allows for short multiplets that contain partially massless spin-\(s\) particles of depth \(t = s - 2\).
MSC:
| 81T60 | Supersymmetric field theories in quantum mechanics |
| 81R10 | Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations |
| 83C60 | Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism |
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