%0 Generic %1 Kraus2016Cardy %A Kraus, Per %A Maloney, Alexander %D 2016 %K 3dgravity, ads3-cft2, btz %T A Cardy Formula for Three-Point Coefficients: How the Black Hole Got its Spots %U http://arxiv.org/abs/1608.03284 %X 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 AdS\_3 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.

@misc{Kraus2016Cardy, 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 AdS\_3 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.}}, added-at = {2019-02-26T10:37:35.000+0100}, archiveprefix = {arXiv}, author = {Kraus, Per and Maloney, Alexander}, biburl = {https://www.bibsonomy.org/bibtex/23579c452fb06039af933009ff5768ca2/acastro}, citeulike-article-id = {14111945}, citeulike-linkout-0 = {http://arxiv.org/abs/1608.03284}, citeulike-linkout-1 = {http://arxiv.org/pdf/1608.03284}, day = 10, eprint = {1608.03284}, interhash = {e977c4287b39a7fd40f445266d246840}, intrahash = {3579c452fb06039af933009ff5768ca2}, keywords = {3dgravity, ads3-cft2, btz}, month = aug, posted-at = {2016-08-12 15:07:09}, priority = {2}, timestamp = {2019-02-26T10:37:35.000+0100}, title = {{A Cardy Formula for Three-Point Coefficients: How the Black Hole Got its Spots}}, url = {http://arxiv.org/abs/1608.03284}, year = 2016 }