The exceptional generalised geometry of supersymmetric AdS flux backgrounds
We analyse generic AdS flux backgrounds preserving eight supercharges in D = 4 and D = 5 dimensions using exceptional generalised geometry. We show that they are described by a pair of globally defined, generalised structures, identical to those that appear for flat flux backgrounds but with differe...
| Main Authors: | , , |
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| Format: | Journal article |
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Springer Verlag
2016
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| _version_ | 1826264704945750016 |
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| author | Ashmore, A Petrini, M Waldram, D |
| author_facet | Ashmore, A Petrini, M Waldram, D |
| author_sort | Ashmore, A |
| collection | OXFORD |
| description | We analyse generic AdS flux backgrounds preserving eight supercharges in D = 4 and D = 5 dimensions using exceptional generalised geometry. We show that they are described by a pair of globally defined, generalised structures, identical to those that appear for flat flux backgrounds but with different integrability conditions. We give a number of explicit examples of such “exceptional Sasaki-Einstein” backgrounds in type IIB supergravity and M-theory. In particular, we give the complete analysis of the generic AdS5 M-theory backgrounds. We also briefly discuss the structure of the moduli space of solutions. In all cases, one structure defines a “generalised Reeb vector” that generates a Killing symmetry of the background corresponding to the R-symmetry of the dual field theory, and in addition encodes the generic contact structures that appear in the D = 4 M-theory and D = 5 type IIB cases. Finally, we investigate the relation between generalised structures and quantities in the dual field theory, showing that the central charge and R-charge of BPS wrapped-brane states are both encoded by the generalised Reeb vector, as well as discussing how volume minimisation (the dual of a- and ℱ -maximisation) is encoded. |
| first_indexed | 2024-03-06T20:12:08Z |
| format | Journal article |
| id | oxford-uuid:2aed09d0-cb3a-4c36-9fd5-e6e2c1269978 |
| institution | University of Oxford |
| last_indexed | 2024-03-06T20:12:08Z |
| publishDate | 2016 |
| publisher | Springer Verlag |
| record_format | dspace |
| spelling | oxford-uuid:2aed09d0-cb3a-4c36-9fd5-e6e2c12699782022-03-26T12:27:57ZThe exceptional generalised geometry of supersymmetric AdS flux backgroundsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:2aed09d0-cb3a-4c36-9fd5-e6e2c1269978Symplectic Elements at OxfordSpringer Verlag2016Ashmore, APetrini, MWaldram, DWe analyse generic AdS flux backgrounds preserving eight supercharges in D = 4 and D = 5 dimensions using exceptional generalised geometry. We show that they are described by a pair of globally defined, generalised structures, identical to those that appear for flat flux backgrounds but with different integrability conditions. We give a number of explicit examples of such “exceptional Sasaki-Einstein” backgrounds in type IIB supergravity and M-theory. In particular, we give the complete analysis of the generic AdS5 M-theory backgrounds. We also briefly discuss the structure of the moduli space of solutions. In all cases, one structure defines a “generalised Reeb vector” that generates a Killing symmetry of the background corresponding to the R-symmetry of the dual field theory, and in addition encodes the generic contact structures that appear in the D = 4 M-theory and D = 5 type IIB cases. Finally, we investigate the relation between generalised structures and quantities in the dual field theory, showing that the central charge and R-charge of BPS wrapped-brane states are both encoded by the generalised Reeb vector, as well as discussing how volume minimisation (the dual of a- and ℱ -maximisation) is encoded. |
| spellingShingle | Ashmore, A Petrini, M Waldram, D The exceptional generalised geometry of supersymmetric AdS flux backgrounds |
| title | The exceptional generalised geometry of supersymmetric AdS flux backgrounds |
| title_full | The exceptional generalised geometry of supersymmetric AdS flux backgrounds |
| title_fullStr | The exceptional generalised geometry of supersymmetric AdS flux backgrounds |
| title_full_unstemmed | The exceptional generalised geometry of supersymmetric AdS flux backgrounds |
| title_short | The exceptional generalised geometry of supersymmetric AdS flux backgrounds |
| title_sort | exceptional generalised geometry of supersymmetric ads flux backgrounds |
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