The light we can see: extracting black holes from weak Jacobi forms
Abstract We quantify how constraints on light states affect the asymptotic growth of heavy states in weak Jacobi forms. The constraints we consider are sparseness conditions on the Fourier coefficients of these forms, which are necessary to interpret them as gravitational path integrals. Using cross...
| الحاوية / القاعدة: | Journal of High Energy Physics |
|---|---|
| المؤلفون الرئيسيون: | , , , |
| التنسيق: | مقال |
| اللغة: | الإنجليزية |
| منشور في: |
SpringerOpen
2024-10-01
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| الموضوعات: | |
| الوصول للمادة أونلاين: | https://doi.org/10.1007/JHEP10(2024)068 |
| _version_ | 1849570910652071936 |
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| author | Luis Apolo Suzanne Bintanja Alejandra Castro Diego Liska |
| author_facet | Luis Apolo Suzanne Bintanja Alejandra Castro Diego Liska |
| author_sort | Luis Apolo |
| collection | DOAJ |
| container_title | Journal of High Energy Physics |
| description | Abstract We quantify how constraints on light states affect the asymptotic growth of heavy states in weak Jacobi forms. The constraints we consider are sparseness conditions on the Fourier coefficients of these forms, which are necessary to interpret them as gravitational path integrals. Using crossing kernels, we extract the leading and subleading behavior of these coefficients and show that the leading Cardy-like growth is robust in a wide regime of validity. On the other hand, we find that subleading corrections are sensitive to the constraints placed on the light states, and we quantify their imprint on the asymptotic growth of states. Our approach is tested against the generating function of symmetric product orbifolds, where we provide new insights into the factors contributing to the asymptotic growth of their Fourier coefficients. Finally, we use our methods to revisit the UV/IR connection that relates black hole microstate counting to modular forms. We provide a microscopic interpretation of the logarithmic corrections to the entropy of BPS black holes in N $$ \mathcal{N} $$ = 2, 4 ungauged supergravity in four and five dimensions, and tie it to consistency conditions in AdS3/CFT2. |
| format | Article |
| id | doaj-art-2f71ffa94e764ec6b20aeb09bbf68bc2 |
| institution | Directory of Open Access Journals |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| spelling | doaj-art-2f71ffa94e764ec6b20aeb09bbf68bc22025-08-20T02:31:04ZengSpringerOpenJournal of High Energy Physics1029-84792024-10-0120241016210.1007/JHEP10(2024)068The light we can see: extracting black holes from weak Jacobi formsLuis Apolo0Suzanne Bintanja1Alejandra Castro2Diego Liska3Beijing Institute of Mathematical Sciences and ApplicationsInstitute for Theoretical Physics and ∆-Institute for Theoretical Physics, University of AmsterdamDepartment of Applied Mathematics and Theoretical Physics, University of CambridgeInstitute for Theoretical Physics and ∆-Institute for Theoretical Physics, University of AmsterdamAbstract We quantify how constraints on light states affect the asymptotic growth of heavy states in weak Jacobi forms. The constraints we consider are sparseness conditions on the Fourier coefficients of these forms, which are necessary to interpret them as gravitational path integrals. Using crossing kernels, we extract the leading and subleading behavior of these coefficients and show that the leading Cardy-like growth is robust in a wide regime of validity. On the other hand, we find that subleading corrections are sensitive to the constraints placed on the light states, and we quantify their imprint on the asymptotic growth of states. Our approach is tested against the generating function of symmetric product orbifolds, where we provide new insights into the factors contributing to the asymptotic growth of their Fourier coefficients. Finally, we use our methods to revisit the UV/IR connection that relates black hole microstate counting to modular forms. We provide a microscopic interpretation of the logarithmic corrections to the entropy of BPS black holes in N $$ \mathcal{N} $$ = 2, 4 ungauged supergravity in four and five dimensions, and tie it to consistency conditions in AdS3/CFT2.https://doi.org/10.1007/JHEP10(2024)068AdS-CFT CorrespondenceBlack Holes in String Theory |
| spellingShingle | Luis Apolo Suzanne Bintanja Alejandra Castro Diego Liska The light we can see: extracting black holes from weak Jacobi forms AdS-CFT Correspondence Black Holes in String Theory |
| title | The light we can see: extracting black holes from weak Jacobi forms |
| title_full | The light we can see: extracting black holes from weak Jacobi forms |
| title_fullStr | The light we can see: extracting black holes from weak Jacobi forms |
| title_full_unstemmed | The light we can see: extracting black holes from weak Jacobi forms |
| title_short | The light we can see: extracting black holes from weak Jacobi forms |
| title_sort | light we can see extracting black holes from weak jacobi forms |
| topic | AdS-CFT Correspondence Black Holes in String Theory |
| url | https://doi.org/10.1007/JHEP10(2024)068 |
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