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High Energy Physics - Theory, hep-th,General Relativity and Quantum Cosmology, gr-qc
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.