Warped AdS 2 and SU(1, 1|4) symmetry in Type IIB

Abstract We investigate the existence of solutions with 16 supersymmetries to Type IIB supergravity on a spacetime of the form AdS 2 × S 5 × S 1 warped over a two-dimensional Riemann surface Σ. The existence of the Lie superalgebra SU(1, 1|4) ⊂ PSU(2, 2|4), whose maximal bosonic subalgebra is SO(1,...

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Main Author: David Corbino
Format: Article
Language:English
Published: SpringerOpen 2021-03-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP03(2021)060
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author David Corbino
author_facet David Corbino
author_sort David Corbino
collection DOAJ
description Abstract We investigate the existence of solutions with 16 supersymmetries to Type IIB supergravity on a spacetime of the form AdS 2 × S 5 × S 1 warped over a two-dimensional Riemann surface Σ. The existence of the Lie superalgebra SU(1, 1|4) ⊂ PSU(2, 2|4), whose maximal bosonic subalgebra is SO(1, 2)⊕SO(6)⊕SO(2), motivates the search for half-BPS solutions with this isometry that are asymptotic to AdS 5 ×S 5. We reduce the BPS equations to the Ansatz for the bosonic fields and supersymmetry generators compatible with these symmetries, then show that the only non-trivial solution is the maximally supersymmetric solution AdS 5 × S 5. We argue that this implies that no solutions exist for fully back-reacted D7 probe or D7/D3 intersecting branes whose near-horizon limit is of the form AdS 2 × S 5 × S 1 × Σ.
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spelling doaj.art-6976042e7a034455945e6929760ce0702022-12-21T22:41:29ZengSpringerOpenJournal of High Energy Physics1029-84792021-03-012021312610.1007/JHEP03(2021)060Warped AdS 2 and SU(1, 1|4) symmetry in Type IIBDavid Corbino0Mani L. Bhaumik Institute for Theoretical Physics, Department of Physics and Astronomy, University of California, Los AngelesAbstract We investigate the existence of solutions with 16 supersymmetries to Type IIB supergravity on a spacetime of the form AdS 2 × S 5 × S 1 warped over a two-dimensional Riemann surface Σ. The existence of the Lie superalgebra SU(1, 1|4) ⊂ PSU(2, 2|4), whose maximal bosonic subalgebra is SO(1, 2)⊕SO(6)⊕SO(2), motivates the search for half-BPS solutions with this isometry that are asymptotic to AdS 5 ×S 5. We reduce the BPS equations to the Ansatz for the bosonic fields and supersymmetry generators compatible with these symmetries, then show that the only non-trivial solution is the maximally supersymmetric solution AdS 5 × S 5. We argue that this implies that no solutions exist for fully back-reacted D7 probe or D7/D3 intersecting branes whose near-horizon limit is of the form AdS 2 × S 5 × S 1 × Σ.https://doi.org/10.1007/JHEP03(2021)060AdS-CFT CorrespondenceGauge-gravity correspondenceSuperstring Vacua
spellingShingle David Corbino
Warped AdS 2 and SU(1, 1|4) symmetry in Type IIB
Journal of High Energy Physics
AdS-CFT Correspondence
Gauge-gravity correspondence
Superstring Vacua
title Warped AdS 2 and SU(1, 1|4) symmetry in Type IIB
title_full Warped AdS 2 and SU(1, 1|4) symmetry in Type IIB
title_fullStr Warped AdS 2 and SU(1, 1|4) symmetry in Type IIB
title_full_unstemmed Warped AdS 2 and SU(1, 1|4) symmetry in Type IIB
title_short Warped AdS 2 and SU(1, 1|4) symmetry in Type IIB
title_sort warped ads 2 and su 1 1 4 symmetry in type iib
topic AdS-CFT Correspondence
Gauge-gravity correspondence
Superstring Vacua
url https://doi.org/10.1007/JHEP03(2021)060
work_keys_str_mv AT davidcorbino warpedads2andsu114symmetryintypeiib