%0 Generic %1 Dijkgraaf2007Black %A Dijkgraaf, Robbert %A Maldacena, Juan %A Moore, Gregory %A Verlinde, Erik %D 2007 %K ads3-cft2, farey-tail, stringthy-blackholes %T A Black Hole Farey Tail %U http://arxiv.org/abs/hep-th/0005003 %X We derive an exact expression for the Fourier coefficients of elliptic genera of Calabi-Yau manifolds. When applied to k-fold symmetric products of K3 surfaces the expression is well-suited to studying the AdS/CFT correspondence on AdS3 x S3. The expression also elucidates an SL(2,Z) invariant phase diagram for the D1/D5 system involving deconfining transitions in the limit as k goes to infinity.

@misc{Dijkgraaf2007Black, abstract = {{We derive an exact expression for the Fourier coefficients of elliptic genera of Calabi-Yau manifolds. When applied to k-fold symmetric products of K3 surfaces the expression is well-suited to studying the AdS/CFT correspondence on AdS3 x S3. The expression also elucidates an SL(2,Z) invariant phase diagram for the D1/D5 system involving deconfining transitions in the limit as k goes to infinity.}}, added-at = {2019-02-26T10:37:35.000+0100}, archiveprefix = {arXiv}, author = {Dijkgraaf, Robbert and Maldacena, Juan and Moore, Gregory and Verlinde, Erik}, biburl = {https://www.bibsonomy.org/bibtex/2f4edaf1bb6697f4659ffaa373bb96081/acastro}, citeulike-article-id = {7472007}, citeulike-linkout-0 = {http://arxiv.org/abs/hep-th/0005003}, citeulike-linkout-1 = {http://arxiv.org/pdf/hep-th/0005003}, day = 8, eprint = {hep-th/0005003}, interhash = {12a16a0814dce5578df27ca22af2eeb6}, intrahash = {f4edaf1bb6697f4659ffaa373bb96081}, keywords = {ads3-cft2, farey-tail, stringthy-blackholes}, month = dec, posted-at = {2010-07-13 21:18:14}, priority = {2}, timestamp = {2019-02-26T10:37:35.000+0100}, title = {{A Black Hole Farey Tail}}, url = {http://arxiv.org/abs/hep-th/0005003}, year = 2007 }