Orateur
Description
Quantum field theories are currently our best framework to modelize fundamental interactions. While perturbative approaches in most theories are successful, non-perturbative effects need to be included to understand these theories at all scales, however this is technically very difficult. Gauge theories engineered from string theory are a rich class of examples in which powerful methods are available to compute such exact results.
Concretely, I will present the full partition function of 6-dimensional supersymmetric gauge theories on a 4-sphere, focusing on non-perturbative contributions. The latter are expected to capture non-trivial effects in lower dimensional dual theories which are very hard to compute with other means. An extension on how different boundary conditions for the gauge theory degrees of freedom are realized on the dual side is also explored.