[Math-Phys Seminar] Wall-crossing, Schur indices and symmetric quivers

18. November 2025

Piotr Sulkowski (Warsaw University)

Wall-crossing, Schur indices and symmetric quivers

I will show that symmetric quivers encode various
observables of 4d N=2 theories related to wall-crossing phenomena. The
observables in question include (wild) Donaldson-Thomas invariants, as
well as Schur indices, which at the same time are known to reproduce
characters of 2d conformal field theories. Furthermore, symmetric
quivers of our interest encode 3d N=2 theories, therefore all these
relations can be interpreted as a web of dualities between 2d, 3d, and
4d systems.