$ \mathcal{N} $ = 2 supersymmetric partially massless fields and other exotic non-unitary superconformal representations

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

doi:10.1007/jhep08(2021)115

Title: $ \mathcal{N} $ = 2 supersymmetric partially massless fields and other exotic non-unitary superconformal representations

Journal Article · Mon Aug 23 00:00:00 EDT 2021 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep08(2021)115· OSTI ID:1851584

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

Columbia Univ., New York, NY (United States). Dept. of Physics
Imperial College, London (United Kingdom). Blackett Lab.
Case Western Reserve Univ., Cleveland, OH (United States). Dept. of Physics

We find and classify the simplest $ \mathcal{N} $ = 2 SUSY multiplets on AdS₄ 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.

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

Sponsoring Organization:: USDOE Office of Science (SC); European Research Council (ERC); Simons Foundation

Grant/Contract Number:: SC0011941; SC0019143; 724659; 658908; 555117

OSTI ID:: 1851584

Journal Information:: Journal of High Energy Physics (Online), Vol. 2021, Issue 8; ISSN 1029-8479

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

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