String Theory seminar - Ines Aniceto Seminar

Abstract: The non-equilibrium hydrodynamic phenomena in strongly coupled quantum systems such as the N=4 supersymmetric Yang-Mills plasma, can be addressed with the tools of the AdS/CFT correspondence, where calculations in the gravity side of the duality can be performed through a large proper-time expansion. This expansion is asymptotic and encodes a spectrum of non-hydrodynamic modes reflecting the frequencies of AdS black-brane quasinormal modes. The emerging structure for the description of physical quantities such as the energy density is of a resurgent transseries. The theory of resurgence perfectly captures this perturbative/non-perturbative connection and its consequences. Moreover, it allows us to construct a full non-perturbative solution from perturbative data. In this talk, I will analyse essential role of resurgence theory, coupled to exponentially accurate numerical methods, to go beyond the perturbative results and obtain non-perturbative data. I will use these techniques to thoroughly study the resurgent transseries for the energy density of the N=4 SYM plasma.