Speaker
Yuya Tanizaki
Description
When the 4d $SU(N)$ Yang-Mills theory is put on $\mathbb{R}^2\times T^2$ with a nontrivial 't Hooft flux, qualitative features of confinement can be semiclassically described as the gas of center-vortex fractional instantons. We study the condition for the large-$N$ adiabatic continuity via a suitable choice of the $N$-dependent 't Hooft flux from the viewpoint of both $0$-form and $1$-form center symmetry.