Supersymmetric AdS(5) solutions of massive IIA supergravity
Motivated by a recently found class of AdS<inf>7</inf> solutions, we classify AdS<inf>5</inf> solutions in massive IIA, finding infinitely many new analytical examples. We reduce the general problem to a set of PDEs, determining the local internal metric, which is a fibration...
| Main Authors: | , , , |
|---|---|
| 格式: | Journal article |
| 出版: |
Springer
2015
|
| _version_ | 1826269865048014848 |
|---|---|
| author | Apruzzi, F Fazzi, M Passias, A Tomasiello, A |
| author_facet | Apruzzi, F Fazzi, M Passias, A Tomasiello, A |
| author_sort | Apruzzi, F |
| collection | OXFORD |
| description | Motivated by a recently found class of AdS<inf>7</inf> solutions, we classify AdS<inf>5</inf> solutions in massive IIA, finding infinitely many new analytical examples. We reduce the general problem to a set of PDEs, determining the local internal metric, which is a fibration over a surface. Under a certain simplifying assumption, we are then able to analytically solve the PDEs and give a complete list of all solutions. Among these, one class is new and regular. These spaces can be related to the AdS<inf>7</inf> solutions via a simple universal map for the metric, dilaton and fluxes. The natural interpretation of this map is that the dual CFT<inf>6</inf> and CFT<inf>4</inf> are related by twisted compactification on a Riemann surface Σ<inf>g</inf>. The ratio of their free energy coefficients is proportional to the Euler characteristic of Σ<inf>g</inf>. As a byproduct, we also find the analytic expression for the AdS<inf>7</inf> solutions, which were previously known only numerically. We determine the free energy for simple examples: it is a simple cubic function of the flux integers. |
| first_indexed | 2024-03-06T21:31:52Z |
| format | Journal article |
| id | oxford-uuid:44f2048e-ecc9-4fe5-b9e1-ca8f531b901f |
| institution | University of Oxford |
| last_indexed | 2024-03-06T21:31:52Z |
| publishDate | 2015 |
| publisher | Springer |
| record_format | dspace |
| spelling | oxford-uuid:44f2048e-ecc9-4fe5-b9e1-ca8f531b901f2022-03-26T15:04:48ZSupersymmetric AdS(5) solutions of massive IIA supergravityJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:44f2048e-ecc9-4fe5-b9e1-ca8f531b901fSymplectic Elements at OxfordSpringer2015Apruzzi, FFazzi, MPassias, ATomasiello, AMotivated by a recently found class of AdS<inf>7</inf> solutions, we classify AdS<inf>5</inf> solutions in massive IIA, finding infinitely many new analytical examples. We reduce the general problem to a set of PDEs, determining the local internal metric, which is a fibration over a surface. Under a certain simplifying assumption, we are then able to analytically solve the PDEs and give a complete list of all solutions. Among these, one class is new and regular. These spaces can be related to the AdS<inf>7</inf> solutions via a simple universal map for the metric, dilaton and fluxes. The natural interpretation of this map is that the dual CFT<inf>6</inf> and CFT<inf>4</inf> are related by twisted compactification on a Riemann surface Σ<inf>g</inf>. The ratio of their free energy coefficients is proportional to the Euler characteristic of Σ<inf>g</inf>. As a byproduct, we also find the analytic expression for the AdS<inf>7</inf> solutions, which were previously known only numerically. We determine the free energy for simple examples: it is a simple cubic function of the flux integers. |
| spellingShingle | Apruzzi, F Fazzi, M Passias, A Tomasiello, A Supersymmetric AdS(5) solutions of massive IIA supergravity |
| title | Supersymmetric AdS(5) solutions of massive IIA supergravity |
| title_full | Supersymmetric AdS(5) solutions of massive IIA supergravity |
| title_fullStr | Supersymmetric AdS(5) solutions of massive IIA supergravity |
| title_full_unstemmed | Supersymmetric AdS(5) solutions of massive IIA supergravity |
| title_short | Supersymmetric AdS(5) solutions of massive IIA supergravity |
| title_sort | supersymmetric ads 5 solutions of massive iia supergravity |
| work_keys_str_mv | AT apruzzif supersymmetricads5solutionsofmassiveiiasupergravity AT fazzim supersymmetricads5solutionsofmassiveiiasupergravity AT passiasa supersymmetricads5solutionsofmassiveiiasupergravity AT tomasielloa supersymmetricads5solutionsofmassiveiiasupergravity |