skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: The role of singletons in S7 compactifications

Abstract

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.

Authors:
 [1];  [1];  [2]
  1. Chalmers Univ. of Technology, Goteborg (Swenden)
  2. Texas A & M Univ., College Station, TX (United States)
Publication Date:
Research Org.:
Texas A & M Univ., College Station, TX (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1611523
Grant/Contract Number:  
SC0010813
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: 2019; Journal Issue: 7; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Physics; M-Theory; Supersymmetry Breaking; Flux compactifications

Citation Formats

Nilsson, B. E. W., Padellaro, A., and Pope, C. N. The role of singletons in S7 compactifications. United States: N. p., 2019. Web. https://doi.org/10.1007/jhep07(2019)124.
Nilsson, B. E. W., Padellaro, A., & Pope, C. N. The role of singletons in S7 compactifications. United States. https://doi.org/10.1007/jhep07(2019)124
Nilsson, B. E. W., Padellaro, A., and Pope, C. N. Mon . "The role of singletons in S7 compactifications". United States. https://doi.org/10.1007/jhep07(2019)124. https://www.osti.gov/servlets/purl/1611523.
@article{osti_1611523,
title = {The role of singletons in S7 compactifications},
author = {Nilsson, B. E. W. and Padellaro, A. and Pope, C. N.},
abstractNote = {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.},
doi = {10.1007/jhep07(2019)124},
journal = {Journal of High Energy Physics (Online)},
number = 7,
volume = 2019,
place = {United States},
year = {2019},
month = {7}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 1 work
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Singleton representations of Osp(N,4)
journal, August 1984


All linear unitary irreducible representations of De Sitter supersymmetry with positive energy
journal, April 1982


The spectrum of the eleven-dimensional supergravity compactified on the round seven-sphere
journal, April 1984


The mass spectrum of supergravity on the round seven-sphere
journal, August 1984


The fluctuating seven-sphere in eleven-dimensional supergravity
journal, January 1984


On the fermion mass-spectrum of Kaluza-Klein supergravity
journal, October 1984


Dynamics of dimensional reduction
journal, December 1980


Multiplet shortening in Osp(N,4)
journal, May 1984


N = 8 Supergravity Breaks Down to N = 1
journal, January 1983


Supergravity in theory in 11 dimensions
journal, June 1978


The boundary conditions for gauged supergravity
journal, June 1983


Supersymmetric supermembrane vacua and singletons
journal, December 1987


Kaluza-Klein supergravity
journal, January 1986


Non-supersymmetric stable vacua of M-theory
journal, January 1999


A Remarkable Representation of the 3 + 2 de Sitter Group
journal, July 1963

  • Dirac, P. A. M.
  • Journal of Mathematical Physics, Vol. 4, Issue 7
  • DOI: 10.1063/1.1704016

On Kaluza-Klein theory
journal, July 1982


Supergravity, the seven-sphere, and spontaneous symmetry breaking
journal, June 1983


The criterion for vacuum stability in Kaluza-Klein supergravity
journal, May 1984


Positive energy in anti-de Sitter backgrounds and gauged extended supergravity
journal, September 1982


Stability in gauged extended supergravity
journal, December 1982