Janus solutions in six-dimensional gauged supergravity

Abstract Motivated by an analysis of the sub-superalgebras of the five-dimensional superconformal algebra F (4), we search for the holographic duals to co-dimension one superconformal defects in 5d CFTs which have SO(4, 2) ⊕ U(1) bosonic symmetry. In particular, we look for domain wall solutions to...

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Main Authors: Michael Gutperle, Justin Kaidi, Himanshu Raj
Format: Article
Language:English
Published: SpringerOpen 2017-12-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP12(2017)018
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author Michael Gutperle
Justin Kaidi
Himanshu Raj
author_facet Michael Gutperle
Justin Kaidi
Himanshu Raj
author_sort Michael Gutperle
collection DOAJ
description Abstract Motivated by an analysis of the sub-superalgebras of the five-dimensional superconformal algebra F (4), we search for the holographic duals to co-dimension one superconformal defects in 5d CFTs which have SO(4, 2) ⊕ U(1) bosonic symmetry. In particular, we look for domain wall solutions to six-dimensional F (4) gauged supergravity coupled to a single vector multiplet. It is found that supersymmetric domain wall solutions do not exist unless there is a non-trivial profile for one of the vector multiplet scalars which is charged under the gauged SU(2) R-symmetry. This non-trivial profile breaks the SU(2) to U(1), thus matching expectations from the superalgebra analysis. A consistent set of BPS equations is then obtained and solved numerically. While the numerical solutions are generically singular and thought to be dual to boundary CFTs, it is found that for certain fine-tuned choices of parameters regular Janus solutions may be obtained.
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spelling doaj.art-14e3964433b7458aa010f4b22245e0512022-12-21T19:47:41ZengSpringerOpenJournal of High Energy Physics1029-84792017-12-0120171213010.1007/JHEP12(2017)018Janus solutions in six-dimensional gauged supergravityMichael Gutperle0Justin Kaidi1Himanshu Raj2Mani L. Bhaumik Institute for Theoretical Physics, Department of Physics and Astronomy, University of CaliforniaMani L. Bhaumik Institute for Theoretical Physics, Department of Physics and Astronomy, University of CaliforniaSISSA and INFNAbstract Motivated by an analysis of the sub-superalgebras of the five-dimensional superconformal algebra F (4), we search for the holographic duals to co-dimension one superconformal defects in 5d CFTs which have SO(4, 2) ⊕ U(1) bosonic symmetry. In particular, we look for domain wall solutions to six-dimensional F (4) gauged supergravity coupled to a single vector multiplet. It is found that supersymmetric domain wall solutions do not exist unless there is a non-trivial profile for one of the vector multiplet scalars which is charged under the gauged SU(2) R-symmetry. This non-trivial profile breaks the SU(2) to U(1), thus matching expectations from the superalgebra analysis. A consistent set of BPS equations is then obtained and solved numerically. While the numerical solutions are generically singular and thought to be dual to boundary CFTs, it is found that for certain fine-tuned choices of parameters regular Janus solutions may be obtained.http://link.springer.com/article/10.1007/JHEP12(2017)018AdS-CFT CorrespondenceGauge-gravity correspondenceSupergravity Models
spellingShingle Michael Gutperle
Justin Kaidi
Himanshu Raj
Janus solutions in six-dimensional gauged supergravity
Journal of High Energy Physics
AdS-CFT Correspondence
Gauge-gravity correspondence
Supergravity Models
title Janus solutions in six-dimensional gauged supergravity
title_full Janus solutions in six-dimensional gauged supergravity
title_fullStr Janus solutions in six-dimensional gauged supergravity
title_full_unstemmed Janus solutions in six-dimensional gauged supergravity
title_short Janus solutions in six-dimensional gauged supergravity
title_sort janus solutions in six dimensional gauged supergravity
topic AdS-CFT Correspondence
Gauge-gravity correspondence
Supergravity Models
url http://link.springer.com/article/10.1007/JHEP12(2017)018
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AT justinkaidi janussolutionsinsixdimensionalgaugedsupergravity
AT himanshuraj janussolutionsinsixdimensionalgaugedsupergravity