Central charge of supersymmetric 5D anti-de sitter space solutions of type IIB supergravity.
We show that generic supersymmetric 5D anti-de Sitter solutions of type IIB supergravity admit a canonical contact structure. This structure determines the central charge of the dual field theory and the conformal dimension of operators dual to supersymmetric wrapped D3-branes. Hence both quantities...
| Main Authors: | , , , , |
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| Format: | Journal article |
| Language: | English |
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2009
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| _version_ | 1826266696156971008 |
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| author | Gabella, M Gauntlett, J Palti, E Sparks, J Waldram, D |
| author_facet | Gabella, M Gauntlett, J Palti, E Sparks, J Waldram, D |
| author_sort | Gabella, M |
| collection | OXFORD |
| description | We show that generic supersymmetric 5D anti-de Sitter solutions of type IIB supergravity admit a canonical contact structure. This structure determines the central charge of the dual field theory and the conformal dimension of operators dual to supersymmetric wrapped D3-branes. Hence both quantities can be calculated using incomplete information about the solutions, allowing us to prove that they are rational numbers for solutions with a U(1) R symmetry, in agreement with field theory expectations. We also discuss related Duistermaat-Heckman integrals and localization formulas. |
| first_indexed | 2024-03-06T20:42:53Z |
| format | Journal article |
| id | oxford-uuid:34d7a6d1-dfa5-4392-974d-020593956cd4 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T20:42:53Z |
| publishDate | 2009 |
| record_format | dspace |
| spelling | oxford-uuid:34d7a6d1-dfa5-4392-974d-020593956cd42022-03-26T13:28:35ZCentral charge of supersymmetric 5D anti-de sitter space solutions of type IIB supergravity.Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:34d7a6d1-dfa5-4392-974d-020593956cd4EnglishSymplectic Elements at Oxford2009Gabella, MGauntlett, JPalti, ESparks, JWaldram, DWe show that generic supersymmetric 5D anti-de Sitter solutions of type IIB supergravity admit a canonical contact structure. This structure determines the central charge of the dual field theory and the conformal dimension of operators dual to supersymmetric wrapped D3-branes. Hence both quantities can be calculated using incomplete information about the solutions, allowing us to prove that they are rational numbers for solutions with a U(1) R symmetry, in agreement with field theory expectations. We also discuss related Duistermaat-Heckman integrals and localization formulas. |
| spellingShingle | Gabella, M Gauntlett, J Palti, E Sparks, J Waldram, D Central charge of supersymmetric 5D anti-de sitter space solutions of type IIB supergravity. |
| title | Central charge of supersymmetric 5D anti-de sitter space solutions of type IIB supergravity. |
| title_full | Central charge of supersymmetric 5D anti-de sitter space solutions of type IIB supergravity. |
| title_fullStr | Central charge of supersymmetric 5D anti-de sitter space solutions of type IIB supergravity. |
| title_full_unstemmed | Central charge of supersymmetric 5D anti-de sitter space solutions of type IIB supergravity. |
| title_short | Central charge of supersymmetric 5D anti-de sitter space solutions of type IIB supergravity. |
| title_sort | central charge of supersymmetric 5d anti de sitter space solutions of type iib supergravity |
| work_keys_str_mv | AT gabellam centralchargeofsupersymmetric5dantidesitterspacesolutionsoftypeiibsupergravity AT gauntlettj centralchargeofsupersymmetric5dantidesitterspacesolutionsoftypeiibsupergravity AT paltie centralchargeofsupersymmetric5dantidesitterspacesolutionsoftypeiibsupergravity AT sparksj centralchargeofsupersymmetric5dantidesitterspacesolutionsoftypeiibsupergravity AT waldramd centralchargeofsupersymmetric5dantidesitterspacesolutionsoftypeiibsupergravity |