BMN vacua, superstars and non-abelian T-duality
Abstract Acting with non-Abelian T-duality on the S 3 inside the AdS 5 subspace of AdS 5 × S 5 with N units of flux, we generate a new half-BPS solution with SU(2|4) symmetry that belongs to the Lin-Lunin-Maldacena class of geometries. The analysis of the asymptotics, quantised charges and probe bra...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017-09-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP09(2017)008 |
| _version_ | 1831668843750096896 |
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| author | Yolanda Lozano Carlos Núñez Salomón Zacarías |
| author_facet | Yolanda Lozano Carlos Núñez Salomón Zacarías |
| author_sort | Yolanda Lozano |
| collection | DOAJ |
| description | Abstract Acting with non-Abelian T-duality on the S 3 inside the AdS 5 subspace of AdS 5 × S 5 with N units of flux, we generate a new half-BPS solution with SU(2|4) symmetry that belongs to the Lin-Lunin-Maldacena class of geometries. The analysis of the asymptotics, quantised charges and probe branes in this geometry suggests an interpretation as the gravity dual to the Berenstein-Maldacena-Nastase Plane Wave Matrix Model, in a particular vacuum associated to a partition of N, in which the multiplicity of each SU(2) irreducible representation is equal to its dimension. This vacuum is interpreted in M-theory in terms of giant gravitons backreacting in the maximally supersymmetric pp-wave geometry. Consistently with this, we show that the non-Abelian T-dual solution exactly agrees with the Penrose limit of the superstar solution in AdS 7 × S 4. This suggests an interesting global completion of the non-Abelian T-dual solution in terms of an M5-brane geometry. |
| first_indexed | 2024-12-19T22:48:30Z |
| format | Article |
| id | doaj.art-94d69cbc2ab24946a3ee05a8643a2be8 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-19T22:48:30Z |
| publishDate | 2017-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-94d69cbc2ab24946a3ee05a8643a2be82022-12-21T20:02:54ZengSpringerOpenJournal of High Energy Physics1029-84792017-09-012017913210.1007/JHEP09(2017)008BMN vacua, superstars and non-abelian T-dualityYolanda Lozano0Carlos Núñez1Salomón Zacarías2Department of Physics, University of OviedoDepartment of Physics, Swansea UniversityDepartment of Physics, Swansea UniversityAbstract Acting with non-Abelian T-duality on the S 3 inside the AdS 5 subspace of AdS 5 × S 5 with N units of flux, we generate a new half-BPS solution with SU(2|4) symmetry that belongs to the Lin-Lunin-Maldacena class of geometries. The analysis of the asymptotics, quantised charges and probe branes in this geometry suggests an interpretation as the gravity dual to the Berenstein-Maldacena-Nastase Plane Wave Matrix Model, in a particular vacuum associated to a partition of N, in which the multiplicity of each SU(2) irreducible representation is equal to its dimension. This vacuum is interpreted in M-theory in terms of giant gravitons backreacting in the maximally supersymmetric pp-wave geometry. Consistently with this, we show that the non-Abelian T-dual solution exactly agrees with the Penrose limit of the superstar solution in AdS 7 × S 4. This suggests an interesting global completion of the non-Abelian T-dual solution in terms of an M5-brane geometry.http://link.springer.com/article/10.1007/JHEP09(2017)008AdS-CFT CorrespondenceString Duality |
| spellingShingle | Yolanda Lozano Carlos Núñez Salomón Zacarías BMN vacua, superstars and non-abelian T-duality Journal of High Energy Physics AdS-CFT Correspondence String Duality |
| title | BMN vacua, superstars and non-abelian T-duality |
| title_full | BMN vacua, superstars and non-abelian T-duality |
| title_fullStr | BMN vacua, superstars and non-abelian T-duality |
| title_full_unstemmed | BMN vacua, superstars and non-abelian T-duality |
| title_short | BMN vacua, superstars and non-abelian T-duality |
| title_sort | bmn vacua superstars and non abelian t duality |
| topic | AdS-CFT Correspondence String Duality |
| url | http://link.springer.com/article/10.1007/JHEP09(2017)008 |
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