A cardy formula for three-point coefficients or how the black hole got its spots
Abstract Modular covariance of torus one-point functions constrains the three point function coefficients of a two dimensional CFT. This leads to an asymptotic formula for the average value of light-heavy-heavy three point coefficients, generalizing Cardy’s formula for the high energy density of sta...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017-05-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP05(2017)160 |
| _version_ | 1818283533930594304 |
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| author | Per Kraus Alexander Maloney |
| author_facet | Per Kraus Alexander Maloney |
| author_sort | Per Kraus |
| collection | DOAJ |
| description | Abstract Modular covariance of torus one-point functions constrains the three point function coefficients of a two dimensional CFT. This leads to an asymptotic formula for the average value of light-heavy-heavy three point coefficients, generalizing Cardy’s formula for the high energy density of states. The derivation uses certain asymptotic properties of one-point conformal blocks on the torus. Our asymptotic formula matches a dual AdS3 computation of one point functions in a black hole background. This is evidence that the BTZ black hole geometry emerges upon course-graining over a suitable family of heavy microstates. |
| first_indexed | 2024-12-13T00:38:26Z |
| format | Article |
| id | doaj.art-2684686348f2456190e7a0f8063118f1 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-13T00:38:26Z |
| publishDate | 2017-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-2684686348f2456190e7a0f8063118f12022-12-22T00:05:10ZengSpringerOpenJournal of High Energy Physics1029-84792017-05-012017512210.1007/JHEP05(2017)160A cardy formula for three-point coefficients or how the black hole got its spotsPer Kraus0Alexander Maloney1Department of Physics and Astronomy, University of CaliforniaPhysics Department, McGill UniversityAbstract Modular covariance of torus one-point functions constrains the three point function coefficients of a two dimensional CFT. This leads to an asymptotic formula for the average value of light-heavy-heavy three point coefficients, generalizing Cardy’s formula for the high energy density of states. The derivation uses certain asymptotic properties of one-point conformal blocks on the torus. Our asymptotic formula matches a dual AdS3 computation of one point functions in a black hole background. This is evidence that the BTZ black hole geometry emerges upon course-graining over a suitable family of heavy microstates.http://link.springer.com/article/10.1007/JHEP05(2017)160AdS-CFT CorrespondenceConformal Field TheoryBlack Holes in String TheoryGauge-gravity correspondence |
| spellingShingle | Per Kraus Alexander Maloney A cardy formula for three-point coefficients or how the black hole got its spots Journal of High Energy Physics AdS-CFT Correspondence Conformal Field Theory Black Holes in String Theory Gauge-gravity correspondence |
| title | A cardy formula for three-point coefficients or how the black hole got its spots |
| title_full | A cardy formula for three-point coefficients or how the black hole got its spots |
| title_fullStr | A cardy formula for three-point coefficients or how the black hole got its spots |
| title_full_unstemmed | A cardy formula for three-point coefficients or how the black hole got its spots |
| title_short | A cardy formula for three-point coefficients or how the black hole got its spots |
| title_sort | cardy formula for three point coefficients or how the black hole got its spots |
| topic | AdS-CFT Correspondence Conformal Field Theory Black Holes in String Theory Gauge-gravity correspondence |
| url | http://link.springer.com/article/10.1007/JHEP05(2017)160 |
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