$ \mathcal{N} $ = 2 supersymmetric Janus solutions and flows: From gauged supergravity to M theory

Pilch, Krzysztof; Tyukov, Alexander; Warner, Nicholas P.

doi:10.1007/JHEP05(2016)005

Title: $$ \mathcal{N} $$ = 2 supersymmetric Janus solutions and flows: From gauged supergravity to M theory

Journal Article · Mon May 02 00:00:00 EDT 2016 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP05(2016)005· OSTI ID:1360121

Pilch, Krzysztof ^[1]; Tyukov, Alexander ^[1]; Warner, Nicholas P. ^[1]

Univ. of Southern California, Los Angeles, CA (United States)

In this study, 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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Research Organization:: Univ. of Southern California, Los Angeles, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: SC0011687

OSTI ID:: 1360121

Journal Information:: Journal of High Energy Physics (Online), Vol. 2016, Issue 5; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 19 works

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