%0 Generic %1 Benini2019Black %A Benini, Francesco %A Milan, Paolo %D 2019 %K ads5 %T Black holes in 4d \$N=4\$ Super-Yang-Mills %U http://arxiv.org/abs/1812.09613 %X We resolve a long-standing question: does the four-dimensional \$N=4\$ SU(N) Super-Yang-Mills theory on \$S^3\$ at large N contain enough states to account for the entropy of rotating electrically-charged BPS black holes in AdS\$\_5\$? Our answer is positive. We reconsider the large N limit of the superconformal index, using the Bethe Ansatz formulation, and find an exponentially large contribution which exactly reproduces the Bekenstein-Hawking entropy of the black holes of Gutowski-Reall. Besides, the large N limit exhibits a complicated structure, with many competing exponential contributions and Stokes lines, hinting at new physics.

@misc{Benini2019Black, abstract = {We resolve a long-standing question: does the four-dimensional \$\mathcal{N}=4\$ SU(N) Super-Yang-Mills theory on \$S^3\$ at large N contain enough states to account for the entropy of rotating electrically-charged BPS black holes in AdS\$\_5\$? Our answer is positive. We reconsider the large N limit of the superconformal index, using the Bethe Ansatz formulation, and find an exponentially large contribution which exactly reproduces the Bekenstein-Hawking entropy of the black holes of Gutowski-Reall. Besides, the large N limit exhibits a complicated structure, with many competing exponential contributions and Stokes lines, hinting at new physics.}, added-at = {2019-02-26T10:37:35.000+0100}, archiveprefix = {arXiv}, author = {Benini, Francesco and Milan, Paolo}, biburl = {https://www.bibsonomy.org/bibtex/2aac561ed391a80557c9557ace99ba391/acastro}, citeulike-article-id = {14669463}, citeulike-linkout-0 = {http://arxiv.org/abs/1812.09613}, citeulike-linkout-1 = {http://arxiv.org/pdf/1812.09613}, day = 5, eprint = {1812.09613}, interhash = {c797040aeb1c2c551cfc35a918117929}, intrahash = {aac561ed391a80557c9557ace99ba391}, keywords = {ads5}, month = jan, posted-at = {2018-12-28 07:41:41}, priority = {2}, timestamp = {2019-02-26T10:37:35.000+0100}, title = {Black holes in 4d \$\mathcal{N}=4\$ Super-Yang-Mills}, url = {http://arxiv.org/abs/1812.09613}, year = 2019 }