The role of singletons in S7 compactifications

Nilsson, B. E. W.; Padellaro, A.; Pope, C. N.

doi:10.1007/jhep07(2019)124

Title: The role of singletons in S7 compactifications

Journal Article · 22 July 2019 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/jhep07(2019)124 · OSTI ID:1611523

Nilsson, B. E. W. ^[1]; Padellaro, A. ^[2]; Pope, C. N. ^[3]

Chalmers Univ. of Technology, Goteborg (Swenden); DOE/OSTI
Chalmers Univ. of Technology, Goteborg (Swenden)
Texas A & M Univ., College Station, TX (United States)

We derive the isometry irrep content of squashed seven-sphere compactifications of eleven-dimensional supergravity, i.e., the left-squashed (LS7) with N = 1 and right-squashed (RS7) with N = 0 supersymmetry, in a manner completely independent of the round sphere. Then we compare this result with the spectrum obtained by Higgsing the round sphere spectrum. This way we discover features of the spectra which makes it possible to argue that the only way the round spectrum can be related by a Higgs mechanism to the one of LS7 is if the singletons are included in the round sphere spectrum. For this to work also in the RS7 case it seems that the gravitino of the LS7 spectrum must be replaced by a fermionic singleton present in the RS7 spectrum.

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Research Organization:: Texas A & M Univ., College Station, TX (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0010813

OSTI ID:: 1611523

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 7 Vol. 2019; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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