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

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Godazgar,  Hadi
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Godazgar,  Mahdi
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Krüger,  Olaf
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Nicolai,  Hermann
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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1410.5090.pdf
(Preprint), 469KB

JHEP29056.pdf
(Any fulltext), 707KB

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Citation

Godazgar, H., Godazgar, M., Krüger, O., Nicolai, H., & Pilch, K. (2015). An SO(3) x SO(3) invariant solution of D=11 supergravity. Journal of high energy physics: JHEP, 2015(01): 056. doi:10.1007/JHEP01(2015)056.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0024-27A6-C
Abstract
We construct a new SO(3)$\times$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.