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

Abstract

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.

Authors:
 [1];  [2];  [3];  [1]
  1. Columbia Univ., New York, NY (United States). Dept. of Physics
  2. Imperial College, London (United Kingdom). Blackett Lab.
  3. Case Western Reserve Univ., Cleveland, OH (United States). Dept. of Physics
Publication Date:
Research Org.:
Columbia Univ., New York, NY (United States); Case Western Reserve Univ., Cleveland, OH (United States)
Sponsoring Org.:
USDOE Office of Science (SC); European Research Council (ERC); Simons Foundation
OSTI Identifier:
1851584
Grant/Contract Number:  
SC0011941; SC0019143; 724659; 658908; 555117
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2021; Journal Issue: 8; Journal ID: ISSN 1029-8479
Publisher:
Springer Nature
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; physics; conformal field theory; extended supersymmetry

Citation Formats

Bittermann, Noah, Garcia-Saenz, Sebastian, Hinterbichler, Kurt, and Rosen, Rachel A. \( \mathcal{N} \) = 2 supersymmetric partially massless fields and other exotic non-unitary superconformal representations. United States: N. p., 2021. Web. doi:10.1007/jhep08(2021)115.
Bittermann, Noah, Garcia-Saenz, Sebastian, Hinterbichler, Kurt, & Rosen, Rachel A. \( \mathcal{N} \) = 2 supersymmetric partially massless fields and other exotic non-unitary superconformal representations. United States. https://doi.org/10.1007/jhep08(2021)115
Bittermann, Noah, Garcia-Saenz, Sebastian, Hinterbichler, Kurt, and Rosen, Rachel A. Mon . "\( \mathcal{N} \) = 2 supersymmetric partially massless fields and other exotic non-unitary superconformal representations". United States. https://doi.org/10.1007/jhep08(2021)115. https://www.osti.gov/servlets/purl/1851584.
@article{osti_1851584,
title = {\( \mathcal{N} \) = 2 supersymmetric partially massless fields and other exotic non-unitary superconformal representations},
author = {Bittermann, Noah and Garcia-Saenz, Sebastian and Hinterbichler, Kurt and Rosen, Rachel A.},
abstractNote = {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.},
doi = {10.1007/jhep08(2021)115},
journal = {Journal of High Energy Physics (Online)},
number = 8,
volume = 2021,
place = {United States},
year = {Mon Aug 23 00:00:00 EDT 2021},
month = {Mon Aug 23 00:00:00 EDT 2021}
}

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