Holographic thermal correlators from recursions
Abstract We express holographic thermal correlators using a recurrence relation of {a n } at n → ∞, building on recent advances in the connection formula for the Heun equation. We consider two gravitational solutions that correspond to distinct states in different subsectors of N $$ \mathcal{N} $$ =...
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SpringerOpen
2025-06-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP06(2025)183 |
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| author | Jie Ren Zhe Yu |
| author_facet | Jie Ren Zhe Yu |
| author_sort | Jie Ren |
| collection | DOAJ |
| description | Abstract We express holographic thermal correlators using a recurrence relation of {a n } at n → ∞, building on recent advances in the connection formula for the Heun equation. We consider two gravitational solutions that correspond to distinct states in different subsectors of N $$ \mathcal{N} $$ = 4 super-Yang-Mills theory at finite temperature and density. The first is the Reissner-Nordström-AdS5 black hole, which has finite entropy at zero temperature, and the second is a charged dilatonic black hole in AdS5, which has zero entropy at zero temperature. In both cases, we perturb the system with a charged scalar field and express the perturbation equation in terms of the Heun equation. We find interesting moving patterns of the poles of the correlators including eigenvalue repulsions. We discuss the relation between the recurrence relation and the Virasoro conformal block as two equivalent approaches to write the connection formula for the Heun equation. |
| format | Article |
| id | doaj-art-9e88c10db4d1496e954e5b15258df5aa |
| institution | DOAJ |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-9e88c10db4d1496e954e5b15258df5aa2025-08-20T03:04:17ZengSpringerOpenJournal of High Energy Physics1029-84792025-06-012025612710.1007/JHEP06(2025)183Holographic thermal correlators from recursionsJie Ren0Zhe Yu1School of Physics, Sun Yat-sen UniversitySchool of Physics, Sun Yat-sen UniversityAbstract We express holographic thermal correlators using a recurrence relation of {a n } at n → ∞, building on recent advances in the connection formula for the Heun equation. We consider two gravitational solutions that correspond to distinct states in different subsectors of N $$ \mathcal{N} $$ = 4 super-Yang-Mills theory at finite temperature and density. The first is the Reissner-Nordström-AdS5 black hole, which has finite entropy at zero temperature, and the second is a charged dilatonic black hole in AdS5, which has zero entropy at zero temperature. In both cases, we perturb the system with a charged scalar field and express the perturbation equation in terms of the Heun equation. We find interesting moving patterns of the poles of the correlators including eigenvalue repulsions. We discuss the relation between the recurrence relation and the Virasoro conformal block as two equivalent approaches to write the connection formula for the Heun equation.https://doi.org/10.1007/JHEP06(2025)183AdS-CFT CorrespondenceBlack HolesGauge-Gravity CorrespondenceThermal Field Theory |
| spellingShingle | Jie Ren Zhe Yu Holographic thermal correlators from recursions Journal of High Energy Physics AdS-CFT Correspondence Black Holes Gauge-Gravity Correspondence Thermal Field Theory |
| title | Holographic thermal correlators from recursions |
| title_full | Holographic thermal correlators from recursions |
| title_fullStr | Holographic thermal correlators from recursions |
| title_full_unstemmed | Holographic thermal correlators from recursions |
| title_short | Holographic thermal correlators from recursions |
| title_sort | holographic thermal correlators from recursions |
| topic | AdS-CFT Correspondence Black Holes Gauge-Gravity Correspondence Thermal Field Theory |
| url | https://doi.org/10.1007/JHEP06(2025)183 |
| work_keys_str_mv | AT jieren holographicthermalcorrelatorsfromrecursions AT zheyu holographicthermalcorrelatorsfromrecursions |