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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Format: | Article |
Language: | English |
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SpringerOpen
2021-03-01
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Series: | Journal of High Energy Physics |
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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. |
first_indexed | 2024-12-15T00:48:48Z |
format | Article |
id | doaj.art-6976042e7a034455945e6929760ce070 |
institution | Directory Open Access Journal |
issn | 1029-8479 |
language | English |
last_indexed | 2024-12-15T00:48:48Z |
publishDate | 2021-03-01 |
publisher | SpringerOpen |
record_format | Article |
series | Journal of High Energy Physics |
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 |