Speaker
Dr
Sunjin Choi
(KIAS)
Description
We study new cohomologies for the local BPS operators of the maximal super-Yang-Mills theory with SU(2), SU(3), and SU(4) gauge groups to better understand the black hole microstates. We first analyze the index of these black hole operators and explicitly construct their cohomologies to study how they imitate the quantum black holes. We find many towers of states and partial no-hair behaviors where certain gravtions are forbidden to dress these black hole operators. This qualitatively agrees with the behavior of the perturbative hairy BPS black holes. Throughout this talk, we mainly focus on a subsector of the field theory corresponding to the BMN matrix theory, which exhibits a black hole like entropy at large N.