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\( \mathcal{N}=2\) supersymmetric Janus solutions and flows: from gauged supergravity to M theory. (English) Zbl 1388.83874

Summary: We investigate a family of \(\mathrm{SU}(3)\times \mathrm{U}(1)\times \mathrm{U}(1)\)-invariant holographic flows and Janus solutions obtained from gauged \(\mathcal N = 8\) supergravity in four dimensions. We give complete details of how to use the uplift formulae to obtain the corresponding solutions in M theory. While the flow solutions appear to be singular from the four-dimensional perspective, we find that the eleven-dimensional solutions are much better behaved and give rise to interesting new classes of compactification geometries that are smooth, up to orbifolds, in the infra-red limit. Our solutions involve new phases in which M2 branes polarize partially or even completely into M5 branes. We derive the eleven-dimensional supersymmetries and show that the eleven-dimensional equations of motion and BPS equations are indeed satisfied as a consequence of their four-dimensional counterparts. Apart from elucidating a whole new class of eleven-dimensional Janus and flow solutions, our work provides extensive and highly non-trivial tests of the recently-derived uplift formulae.

MSC:

83E50 Supergravity

References:

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