An SO(3)×SO(3) invariant solution of D = 11 supergravity

Godazgar, Hadi; Godazgar, Mahdi; Kruger, Olaf; Nicolai, Hermann; Pilch, Krzysztof

doi:10.1007/JHEP01(2015)056

Title: An SO(3)×SO(3) invariant solution of D = 11 supergravity

Abstract

We construct a new SO(3)×SO(3) invariant non-supersymmetric solution of the bosonic field equations of D = 11 supergravity from the corresponding stationary point of maximal gauged N = 8 supergravity by making use of the non-linear uplift formulae for the metric and the 3-form potential. The latter are crucial as this solution appears to be inaccessible to traditional techniques of solving Einstein’s field equations, and is arguably the most complicated closed form solution of this type ever found. The solution is also a promising candidate for a stable non-supersymmetric solution of M-theory uplifted from gauged supergravity. The technique that we present here may be applied more generally to uplift other solutions of gauged supergravity.

Authors:

Godazgar, Hadi ^[1]; Godazgar, Mahdi ^[1]; Kruger, Olaf ^[2]; Nicolai, Hermann ^[2]; Pilch, Krzysztof ^[3]

Univ. of Cambridge (United Kingdom). Centre for Mathematical Sciences. Dept. of Applied Mathematics and Theoretical Physics
Max Planck Inst. for Gravitational Physics, Potsdam (Germany). Albert Einstein Inst.
Univ. of Southern California, Los Angeles, CA (United States). Dept. of Physics and Astronomy

Publication Date:: Tue Jan 13 00:00:00 EST 2015

Research Org.:: Univ. of Southern California, Los Angeles, CA (United States); Univ. of Cambridge (United Kingdom)

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP); European Research Council (ERC)

OSTI Identifier:: 1455151

Grant/Contract Number:: SC0011687; 247252

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: 2015; Journal Issue: 1; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; supergravity models; global symmetries

Citation Formats


                    Godazgar, Hadi, Godazgar, Mahdi, Kruger, Olaf, Nicolai, Hermann, and Pilch, Krzysztof. An SO(3)×SO(3) invariant solution of D = 11 supergravity.  United States: N. p., 2015. 
Web.  doi:10.1007/JHEP01(2015)056.

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                    Godazgar, Hadi, Godazgar, Mahdi, Kruger, Olaf, Nicolai, Hermann, & Pilch, Krzysztof. An SO(3)×SO(3) invariant solution of D = 11 supergravity.  United States.  https://doi.org/10.1007/JHEP01(2015)056

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                    Godazgar, Hadi, Godazgar, Mahdi, Kruger, Olaf, Nicolai, Hermann, and Pilch, Krzysztof. Tue .  
"An SO(3)×SO(3) invariant solution of D = 11 supergravity".  United States.  https://doi.org/10.1007/JHEP01(2015)056.  https://www.osti.gov/servlets/purl/1455151.

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@article{osti_1455151,

  title        = {An SO(3)×SO(3) invariant solution of D = 11 supergravity},

  author       = {Godazgar, Hadi and Godazgar, Mahdi and Kruger, Olaf and Nicolai, Hermann and Pilch, Krzysztof},

  abstractNote = {We construct a new SO(3)×SO(3) invariant non-supersymmetric solution of the bosonic field equations of D = 11 supergravity from the corresponding stationary point of maximal gauged N = 8 supergravity by making use of the non-linear uplift formulae for the metric and the 3-form potential. The latter are crucial as this solution appears to be inaccessible to traditional techniques of solving Einstein’s field equations, and is arguably the most complicated closed form solution of this type ever found. The solution is also a promising candidate for a stable non-supersymmetric solution of M-theory uplifted from gauged supergravity. The technique that we present here may be applied more generally to uplift other solutions of gauged supergravity.},

  doi          = {10.1007/JHEP01(2015)056},

  journal      = {Journal of High Energy Physics (Online)},

  number       = 1,

  volume       = 2015,

  place        = {United States},

  year         = {Tue Jan 13 00:00:00 EST 2015},

  month        = {Tue Jan 13 00:00:00 EST 2015}

}

Copy to clipboard

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Works referenced in this record:

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Einstein-Cartan calculus for exceptional geometry
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Works referencing / citing this record:

SO(8) Supergravity and the Magic of Machine Learning
text, January 2019

Comsa, Iulia M.; Firsching, Moritz; Fischbacher, Thomas
arXiv
DOI: 10.48550/arxiv.1906.00207

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Similar Records

Title: An SO(3)×SO(3) invariant solution of D = 11 supergravity

Abstract

Citation Formats

On the relation between d = 4 and d = 11 supergravity journal, August 1984

Evidence for a Family of SO(8) Gauged Supergravity Theories journal, November 2012

The SO(8) supergravity journal, November 1979

Consistent supersymmetric Kaluza-Klein truncations with massive modes journal, April 2009

Dynamics of dimensional reduction journal, December 1980

Supergravity in theory in 11 dimensions journal, June 1978

An supersymmetric membrane flow journal, May 2002

Some properties of the scalar potential in gauged supergravity theories journal, January 1984

Stability analysis of compactifications of D = 11 supergravity with SU(3) × SU(2) × U(1) symmetry journal, September 1984

Maximal Gauged Supergravity in Three Dimensions journal, February 2001

An SU(4) invariant compactification of d = 11 supergravity on a stretched seven-sphere journal, January 1985

Supergravity instabilities of non-supersymmetric quantum critical points journal, November 2010

The consistency of the S7 truncation in d=11 supergravity journal, January 1987

On Lagrangians and gaugings of maximal supergravities journal, April 2003

The embedding of gauged N = 8 supergravity into d = 11 supergravity journal, January 1985

Symplectic deformations of gauged maximal supergravity journal, July 2014

Consistent truncation of d = 11 supergravity on AdS 4 × S 7 journal, March 2012

Stability in gauged extended supergravity journal, December 1982

Generalised geometry from the ground up journal, February 2014

N = 8 supergravity journal, November 1982

A new SO(7) invariant solution of d = 11 supergravity journal, November 1984

A Dielectric Flow Solution with Maximal Supersymmetry journal, April 2004

Einstein-Cartan calculus for exceptional geometry journal, June 2014

Spontaneous compactification of eleven-dimensional supergravity journal, December 1982

The N = 8 supergravity theory. I. The lagrangian journal, December 1978

Gauged N = 8 supergravity and its breaking from spontaneous compactification journal, April 1983

Two new classes of compactifications of d=11 supergravity journal, January 1985

The Kahler 2-form in D=11 supergravity journal, May 1985

d = 11 supergravity with local SU(8) invariance journal, September 1986

Comments on conifolds journal, September 1990

The parallelizing S7 torsion in gauged N=8 supergravity journal, January 1984

𝒩 = 6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals journal, October 2008

Compact and Noncompact Gauged Maximal Supergravities in Three Dimensions journal, April 2001

Compactifications ofd=11 supergravity on Kähler manifolds journal, June 1989

On the stability and spectrum of non-supersymmetric AdS 5 solutions of M-theory compactified on Kähler-Einstein spaces journal, March 2009

Deformations of gauged SO(8) supergravity and supergravity in eleven dimensions journal, May 2013

Schwarzschild field inn dimensions and the dimensionality of space problem journal, February 1963

Minimal holographic superconductors from maximal supergravity journal, March 2012

Maximal Gauged Supergravity in Three Dimensions text, January 2001

Dynamics of dimensional reduction book, June 1989

N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals text, January 2008

Consistent supersymmetric Kaluza--Klein truncations with massive modes text, January 2009

Supergravity Instabilities of Non-Supersymmetric Quantum Critical Points text, January 2010

Minimal Holographic Superconductors from Maximal Supergravity text, January 2011

Consistent truncation of d = 11 supergravity on AdS_4 x S^7 text, January 2011

Deformations of gauged SO(8) supergravity and supergravity in eleven dimensions text, January 2013

Generalised geometry from the ground up text, January 2013

Einstein-Cartan Calculus for Exceptional Geometry text, January 2014

Symplectic Deformations of Gauged Maximal Supergravity text, January 2014

Compact and Noncompact Gauged Maximal Supergravities in Three Dimensions text, January 2001

SO(8) Supergravity and the Magic of Machine Learning text, January 2019

On the relation between d = 4 and d = 11 supergravity
journal, August 1984

Evidence for a Family of SO(8) Gauged Supergravity Theories
journal, November 2012

The SO(8) supergravity
journal, November 1979

Consistent supersymmetric Kaluza-Klein truncations with massive modes
journal, April 2009

Dynamics of dimensional reduction
journal, December 1980

Supergravity in theory in 11 dimensions
journal, June 1978

An supersymmetric membrane flow
journal, May 2002

Some properties of the scalar potential in gauged supergravity theories
journal, January 1984

Stability analysis of compactifications of D = 11 supergravity with SU(3) × SU(2) × U(1) symmetry
journal, September 1984

Maximal Gauged Supergravity in Three Dimensions
journal, February 2001

An SU(4) invariant compactification of d = 11 supergravity on a stretched seven-sphere
journal, January 1985

Supergravity instabilities of non-supersymmetric quantum critical points
journal, November 2010

The consistency of the S7 truncation in d=11 supergravity
journal, January 1987

On Lagrangians and gaugings of maximal supergravities
journal, April 2003

The embedding of gauged N = 8 supergravity into d = 11 supergravity
journal, January 1985

Symplectic deformations of gauged maximal supergravity
journal, July 2014

Consistent truncation of d = 11 supergravity on AdS 4 × S 7
journal, March 2012

Stability in gauged extended supergravity
journal, December 1982

Generalised geometry from the ground up
journal, February 2014

N = 8 supergravity
journal, November 1982

A new SO(7) invariant solution of d = 11 supergravity
journal, November 1984

A Dielectric Flow Solution with Maximal Supersymmetry
journal, April 2004

Einstein-Cartan calculus for exceptional geometry
journal, June 2014

Spontaneous compactification of eleven-dimensional supergravity
journal, December 1982

The N = 8 supergravity theory. I. The lagrangian
journal, December 1978

Gauged N = 8 supergravity and its breaking from spontaneous compactification
journal, April 1983

Two new classes of compactifications of d=11 supergravity
journal, January 1985

The Kahler 2-form in D=11 supergravity
journal, May 1985

d = 11 supergravity with local SU(8) invariance
journal, September 1986

Comments on conifolds
journal, September 1990

The parallelizing S7 torsion in gauged N=8 supergravity
journal, January 1984

𝒩 = 6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
journal, October 2008

Compact and Noncompact Gauged Maximal Supergravities in Three Dimensions
journal, April 2001

Compactifications ofd=11 supergravity on Kähler manifolds
journal, June 1989

On the stability and spectrum of non-supersymmetric AdS ₅ solutions of M-theory compactified on Kähler-Einstein spaces
journal, March 2009

Deformations of gauged SO(8) supergravity and supergravity in eleven dimensions
journal, May 2013

Schwarzschild field inn dimensions and the dimensionality of space problem
journal, February 1963

Minimal holographic superconductors from maximal supergravity
journal, March 2012

Maximal Gauged Supergravity in Three Dimensions
text, January 2001

Dynamics of dimensional reduction
book, June 1989

N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
text, January 2008

Consistent supersymmetric Kaluza--Klein truncations with massive modes
text, January 2009

Supergravity Instabilities of Non-Supersymmetric Quantum Critical Points
text, January 2010

Minimal Holographic Superconductors from Maximal Supergravity
text, January 2011

Consistent truncation of d = 11 supergravity on AdS_4 x S^7
text, January 2011

Deformations of gauged SO(8) supergravity and supergravity in eleven dimensions
text, January 2013

Generalised geometry from the ground up
text, January 2013

Einstein-Cartan Calculus for Exceptional Geometry
text, January 2014

Symplectic Deformations of Gauged Maximal Supergravity
text, January 2014

Compact and Noncompact Gauged Maximal Supergravities in Three Dimensions
text, January 2001

SO(8) Supergravity and the Magic of Machine Learning
text, January 2019