Abstract
We investigate a family of SU(3)×U(1)×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.
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Pilch, K., Tyukov, A. & Warner, N.P. \( \mathcal{N} \) =2 supersymmetric Janus solutions and flows: from gauged supergravity to M theory. J. High Energ. Phys. 2016, 5 (2016). https://doi.org/10.1007/JHEP05(2016)005
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DOI: https://doi.org/10.1007/JHEP05(2016)005