Pure and twisted holography
Abstract We analyze a simple example of a holographically dual pair in which we topologically twist both theories. The holography is based on the two-dimensional N = 2 supersymmetric Liouville conformal field theory that defines a unitary bulk quantum supergravity theory in three-dimensional anti-de...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-03-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP03(2020)144 |
| _version_ | 1819327197114007552 |
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| author | Songyuan Li Jan Troost |
| author_facet | Songyuan Li Jan Troost |
| author_sort | Songyuan Li |
| collection | DOAJ |
| description | Abstract We analyze a simple example of a holographically dual pair in which we topologically twist both theories. The holography is based on the two-dimensional N = 2 supersymmetric Liouville conformal field theory that defines a unitary bulk quantum supergravity theory in three-dimensional anti-de Sitter space. The supersymmetric version of three-dimensional Liouville quantum gravity allows for a topological twist on the boundary and in the bulk. We define the topological bulk supergravity theory in terms of twisted boundary conditions. We corroborate the duality by calculating the chiral configurations in the bulk supergravity theory and by quantizing the solution space. Moreover, we note that the boundary calculation of the structure constants of the chiral ring carries over to the bulk theory as well. We thus construct a topological AdS/CFT duality in which the bulk theory is independent of the boundary metric. |
| first_indexed | 2024-12-24T13:07:01Z |
| format | Article |
| id | doaj.art-aefe44f85b1c42e4ac665eb6fb4b2738 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-24T13:07:01Z |
| publishDate | 2020-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-aefe44f85b1c42e4ac665eb6fb4b27382022-12-21T16:53:58ZengSpringerOpenJournal of High Energy Physics1029-84792020-03-012020312210.1007/JHEP03(2020)144Pure and twisted holographySongyuan Li0Jan Troost1Laboratoire de Physique de l’École Normale Supérieure, CNRS, ENS, Université PSL, Sorbonne Université, Université de ParisLaboratoire de Physique de l’École Normale Supérieure, CNRS, ENS, Université PSL, Sorbonne Université, Université de ParisAbstract We analyze a simple example of a holographically dual pair in which we topologically twist both theories. The holography is based on the two-dimensional N = 2 supersymmetric Liouville conformal field theory that defines a unitary bulk quantum supergravity theory in three-dimensional anti-de Sitter space. The supersymmetric version of three-dimensional Liouville quantum gravity allows for a topological twist on the boundary and in the bulk. We define the topological bulk supergravity theory in terms of twisted boundary conditions. We corroborate the duality by calculating the chiral configurations in the bulk supergravity theory and by quantizing the solution space. Moreover, we note that the boundary calculation of the structure constants of the chiral ring carries over to the bulk theory as well. We thus construct a topological AdS/CFT duality in which the bulk theory is independent of the boundary metric.http://link.springer.com/article/10.1007/JHEP03(2020)144Conformal and W SymmetryGauge-gravity correspondenceTopological Field TheoriesExtended Supersymmetry |
| spellingShingle | Songyuan Li Jan Troost Pure and twisted holography Journal of High Energy Physics Conformal and W Symmetry Gauge-gravity correspondence Topological Field Theories Extended Supersymmetry |
| title | Pure and twisted holography |
| title_full | Pure and twisted holography |
| title_fullStr | Pure and twisted holography |
| title_full_unstemmed | Pure and twisted holography |
| title_short | Pure and twisted holography |
| title_sort | pure and twisted holography |
| topic | Conformal and W Symmetry Gauge-gravity correspondence Topological Field Theories Extended Supersymmetry |
| url | http://link.springer.com/article/10.1007/JHEP03(2020)144 |
| work_keys_str_mv | AT songyuanli pureandtwistedholography AT jantroost pureandtwistedholography |