The project concerns the study of the non-perturbative structure of quantum gauge theories on compact manifolds, in different dimensions. The finite volume of the space-time provides a natural infrared cut-off and, in particular (super)symmetric cases, it allows exact computations by localisation techniques and other non-perturbative methods, as AdS/CFT or resurgence. In the large-N limit different phases generically appears, depending on the strength of coupling constants, temperature, masses etc, and can be studied through convenient observables, as the free energy and Wilson loops.
- Supervisor: Luca Griguolo (University of Parma)