Factorization of log-corrections in AdS4/CFT3 from supergravity localization
Abstract We use the Atiyah-Singer index theorem to derive the general form of the one-loop corrections to observables in asymptotically anti-de Sitter (AdS4) supersymmetric backgrounds of abelian gauged supergravity. Using the method of supergravity localization combined with the factorization of th...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2021-12-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP12(2021)031 |
| _version_ | 1818458880478281728 |
|---|---|
| author | Kiril Hristov Valentin Reys |
| author_facet | Kiril Hristov Valentin Reys |
| author_sort | Kiril Hristov |
| collection | DOAJ |
| description | Abstract We use the Atiyah-Singer index theorem to derive the general form of the one-loop corrections to observables in asymptotically anti-de Sitter (AdS4) supersymmetric backgrounds of abelian gauged supergravity. Using the method of supergravity localization combined with the factorization of the supergravity action on fixed points (NUTs) and fixed two-manifolds (Bolts) we show that an analogous factorization takes place for the one-loop determinants of supergravity fields. This allows us to propose a general fixed-point formula for the logarithmic corrections to a large class of supersymmetric partition functions in the large N expansion of a given 3d dual theory. The corrections are uniquely fixed by some simple topological data pertaining to a particular background in the form of its regularized Euler characteristic χ, together with a single dynamical coefficient that counts the underlying degrees of freedom of the theory. |
| first_indexed | 2024-12-14T23:05:29Z |
| format | Article |
| id | doaj.art-c7cc78d978bd442d86356a05ae7c14a0 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-14T23:05:29Z |
| publishDate | 2021-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-c7cc78d978bd442d86356a05ae7c14a02022-12-21T22:44:21ZengSpringerOpenJournal of High Energy Physics1029-84792021-12-0120211213610.1007/JHEP12(2021)031Factorization of log-corrections in AdS4/CFT3 from supergravity localizationKiril Hristov0Valentin Reys1Faculty of Physics, Sofia UniversityInstituut voor Theoretische Fysica, KU LeuvenAbstract We use the Atiyah-Singer index theorem to derive the general form of the one-loop corrections to observables in asymptotically anti-de Sitter (AdS4) supersymmetric backgrounds of abelian gauged supergravity. Using the method of supergravity localization combined with the factorization of the supergravity action on fixed points (NUTs) and fixed two-manifolds (Bolts) we show that an analogous factorization takes place for the one-loop determinants of supergravity fields. This allows us to propose a general fixed-point formula for the logarithmic corrections to a large class of supersymmetric partition functions in the large N expansion of a given 3d dual theory. The corrections are uniquely fixed by some simple topological data pertaining to a particular background in the form of its regularized Euler characteristic χ, together with a single dynamical coefficient that counts the underlying degrees of freedom of the theory.https://doi.org/10.1007/JHEP12(2021)031AdS-CFT Correspondence1/N ExpansionSupergravity ModelsBlack Holes |
| spellingShingle | Kiril Hristov Valentin Reys Factorization of log-corrections in AdS4/CFT3 from supergravity localization Journal of High Energy Physics AdS-CFT Correspondence 1/N Expansion Supergravity Models Black Holes |
| title | Factorization of log-corrections in AdS4/CFT3 from supergravity localization |
| title_full | Factorization of log-corrections in AdS4/CFT3 from supergravity localization |
| title_fullStr | Factorization of log-corrections in AdS4/CFT3 from supergravity localization |
| title_full_unstemmed | Factorization of log-corrections in AdS4/CFT3 from supergravity localization |
| title_short | Factorization of log-corrections in AdS4/CFT3 from supergravity localization |
| title_sort | factorization of log corrections in ads4 cft3 from supergravity localization |
| topic | AdS-CFT Correspondence 1/N Expansion Supergravity Models Black Holes |
| url | https://doi.org/10.1007/JHEP12(2021)031 |
| work_keys_str_mv | AT kirilhristov factorizationoflogcorrectionsinads4cft3fromsupergravitylocalization AT valentinreys factorizationoflogcorrectionsinads4cft3fromsupergravitylocalization |