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

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.
Authors:
 [1] ;  [1] ;  [1]
  1. Univ. of Southern California, Los Angeles, CA (United States)
Publication Date:
Grant/Contract Number:
SC0011687
Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2016; Journal Issue: 5; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Research Org:
Univ. of Southern California, Los Angeles, CA (United States)
Sponsoring Org:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; flux compactifications; AdS-CFT correspondence; M-Theory
OSTI Identifier:
1360121

Pilch, Krzysztof, Tyukov, Alexander, and Warner, Nicholas P. $ \mathcal{N} $ = 2 supersymmetric Janus solutions and flows: From gauged supergravity to M theory. United States: N. p., Web. doi:10.1007/JHEP05(2016)005.
Pilch, Krzysztof, Tyukov, Alexander, & Warner, Nicholas P. $ \mathcal{N} $ = 2 supersymmetric Janus solutions and flows: From gauged supergravity to M theory. United States. doi:10.1007/JHEP05(2016)005.
Pilch, Krzysztof, Tyukov, Alexander, and Warner, Nicholas P. 2016. "$ \mathcal{N} $ = 2 supersymmetric Janus solutions and flows: From gauged supergravity to M theory". United States. doi:10.1007/JHEP05(2016)005. https://www.osti.gov/servlets/purl/1360121.
@article{osti_1360121,
title = {$ \mathcal{N} $ = 2 supersymmetric Janus solutions and flows: From gauged supergravity to M theory},
author = {Pilch, Krzysztof and Tyukov, Alexander and Warner, Nicholas P.},
abstractNote = {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.},
doi = {10.1007/JHEP05(2016)005},
journal = {Journal of High Energy Physics (Online)},
number = 5,
volume = 2016,
place = {United States},
year = {2016},
month = {5}
}