Black holes in 4d $\mathcal{N}=4$ SuperYangMills
Abstract
We resolve a longstanding question: does the fourdimensional $\mathcal{N}=4$ SU(N) SuperYangMills theory on $S^3$ at large N contain enough states to account for the entropy of rotating electricallycharged 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 BekensteinHawking entropy of the black holes of GutowskiReall. Besides, the large N limit exhibits a complicated structure, with many competing exponential contributions and Stokes lines, hinting at new physics.
 Publication:

arXiv eprints
 Pub Date:
 December 2018
 arXiv:
 arXiv:1812.09613
 Bibcode:
 2018arXiv181209613B
 Keywords:

 High Energy Physics  Theory;
 General Relativity and Quantum Cosmology
 EPrint:
 33 pages + appendices, 4 figures