{N} =2 supersymmetric Janus solutions and flows: from gauged supergravity to M theory
Abstract
We investigate a family of SU(3)×U(1)×U(1)-invariant holographic flows and Janus solutions obtained from gauged {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.
- Publication:
-
Journal of High Energy Physics
- Pub Date:
- May 2016
- DOI:
- 10.1007/JHEP05(2016)005
- arXiv:
- arXiv:1510.08090
- Bibcode:
- 2016JHEP...05..005P
- Keywords:
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- Flux compactifications;
- AdS-CFT Correspondence;
- M-Theory;
- High Energy Physics - Theory
- E-Print:
- 57 pages, 4 figures