An SO(3)$\times$SO(3) invariant solution of $D=11$ supergravity

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.

33 pages + appendices, JHEP version

References in corpus (6)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Consistent supersymmetric Kaluza--Klein truncations with massive modes
• Supergravity Instabilities of Non-Supersymmetric Quantum Critical Points
• Symplectic Deformations of Gauged Maximal Supergravity
• New Supersymmetric and Stable, Non-Supersymmetric Phases in Supergravity and Holographic Field Theory
• On the stability and spectrum of non-supersymmetric AdS(5) solutions of M-theory compactified on Kahler-Einstein spaces

Cited by in corpus (3)

• Tachyonic Kaluza-Klein modes and the AdS swampland conjecture
• Uplifting non-compact gauged supergravities
• Elliptical and Purely NS Superstrata