The 1/16-BPS index and supersymmetric phases in 4d N=4 Super Yang-Mills

Sameer Murthy

I will discuss the superconformal index that counts BPS states preserving two supercharges in 4d N=4 SYM, and more generally in 4d N=1 SCFTs, on S3. This index is captured by a unitary matrix model with purely double trace operators in the action. The AdS/CFT correspondence predicts that the index should have exponential growth at large charges and large N, corresponding to the 1/16-BPS black hole (BH) in AdS5. I will present analytical and numerical analyses of the matrix model which clearly show this expected BH growth.

http://scgp.stonybrook.edu/video_portal/video.php?id=4564

Simons- Fall Seminar Series: Supersymmetric Black Holes, Holography and Microstate Counting