Thermal Giant Graviton Expansion

In this talk, I will present a holographic expansion, known as the giant graviton expansion, of the thermal partition function of free N=4 super Yang-Mills. We use the twistorial uplift of self-dual N=4 SYM, which can be engineered in the topological B-model on a Calabi-Yau 7-fold (a version of Witten’s twistor string). We reproduce the expansion from closed string and D-brane contributions in CY7. In particular, we recover the Hagedorn temperature of the free gauge theory by resuming the D-brane sectors. This is based on work with Atul Sharma.