Jul 6 – 13, 2022
Bologna, Italy
Europe/Rome timezone

Counting instantons at strong coupling

Jul 8, 2022, 11:15 AM
Room 7 (Gialla)

Room 7 (Gialla)

Parallel Talk Formal Theory Formal Theory


Prof. Pietro Longhi (Uppsala University)


The exact computation of partition functions of four-dimensional theories with extended supersymmetry by means of localization techniques hinges on the existence of a Lagrangian description. On the one hand, it is known that in many cases such a description is only accurate in certain regions of moduli space, such as weak-coupling phases. On the other hand, there are also many examples of non-Lagrangian quantum field theories, which cannot be studied through localization. This raises the question of what replaces the definition of the partition function of a quantum field theory in the broader setting, and how such an object may be computed. I will discuss a geometric definition of instanton partition functions based on the notion of quantum curves associated to certain quantum field theories. I will argue that this definition encompasses the standard one at weak coupling, but also extends to strong coupling, where it is amenable to direct computation.

In-person participation Yes

Primary authors

Dr Ioana Coman Prof. Pietro Longhi (Uppsala University) Prof. Joerg Teschner

Presentation materials