HET Seminar | New (Non-)Supersymmetric Phases in N=4 SYM

In this work, we extend our current understanding of the phase diagram of N=4 SYM at any given set of charges (Microcanonical Ensemble) by proposing various new phases. These new phases correspond to hairy black hole solutions in the bulk gravitational theory and are easier to construct and analyze due to the emergence of a "Non-interacting" picture. The new phases continue to exist even in the supersymmetric limit and contribute to an extra parameter (amount of "hair") worth of solutions. The presence of new supersymmetric solutions predicts a phase transition in the superconformal index of N=4 SYM.