Speaker
Description
In this talk, I will present a method to evaluate superconformal indices of four-dimensional N=1 superconformal field theories in closed form. For the (1/8 BPS) Macdonald index of the N=4 SU(2) super Yang-Mills theory, the resulting expression manifests features of the BPS spectrum at non-zero Yang-Mills coupling. I will argue that the expression suggests the absence of “fortuitous” or non-graviton operators in this sector, which have been recently proposed as dual operators to (supersymmetric) black hole microstates in AdS5. If time permits, I will also discuss closed form expressions for the index in a simple subsector of the 1/16 BPS sector of the N=4 SU(N) theory for low values of N. For these cases, we are able to subtract off the “graviton index” from the full index, thus obtaining a closed form expression for the non-graviton index. The resulting expression reveals structural features of the non-graviton spectrum in this sector.
