Supersymmetric partially massless fields and non-unitary superconformal representations

Garcia-Saenz, Sebastian; Hinterbichler, Kurt; Rosen, Rachel A.

doi:10.1007/jhep11(2018)166

Title: Supersymmetric partially massless fields and non-unitary superconformal representations

Journal Article · 26 November 2018 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/jhep11(2018)166 · OSTI ID:1611718

Garcia-Saenz, Sebastian ^[1]; Hinterbichler, Kurt ^[2]; Rosen, Rachel A. ^[3]

Sorbonne Univ., Paris (France); DOE/OSTI
Case Western Reserve Univ., Cleveland, OH (United States)
Columbia Univ., New York, NY (United States

We find and classify the N=1 SUSY multiplets on AdS₄ which contain partially massless fields. We do this by studying the non-unitary representations of the d = 3 superconformal algebra of the boundary. The simplest super-multiplet which contains a partially massless spin-2 particle also contains a massless photon, a massless spin-3/2 particle and a massive spin-3/2 particle. The gauge parameters form a Wess-Zumino super-multiplet which contains the gauge parameters of the photon, the partially massless graviton, and the massless spin-3/2 particle. We find the AdS₄ action and SUSY transformations for this multiplet. More generally, we classify new types of shortening conditions that can arise for non-unitary representations of the d = 3 superconformal algebra.

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Research Organization:: Case Western Reserve Univ., Cleveland, OH (United States); Columbia Univ., New York, NY (United States)

Sponsoring Organization:: European Research Council (ERC); National Aeronautic and Space Administration (NASA); USDOE Office of Science (SC)

Grant/Contract Number:: SC0011941; SC0019143

OSTI ID:: 1611718

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 11 Vol. 2018; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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