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

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:

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

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

Publication Date:: Mon Jul 22 00:00:00 EDT 2019

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.  doi:10.1007/jhep07(2019)124.

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                    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

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                    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.

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@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         = {Mon Jul 22 00:00:00 EDT 2019},

  month        = {Mon Jul 22 00:00:00 EDT 2019}

}

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Works referenced in this record:

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Dirac, P. A. M.
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Similar Records

Title: The role of singletons in S7 compactifications

Abstract

Citation Formats

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

The Large-N Limit of Superconformal Field Theories and Supergravity journal, January 1999

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

Spontaneous Supersymmetry Breaking by the Squashed Seven-Sphere journal, June 1983

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

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

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

The Large-N Limit of Superconformal Field Theories and Supergravity
journal, January 1999

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

Spontaneous Supersymmetry Breaking by the Squashed Seven-Sphere
journal, June 1983

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

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