On 2d perimeter law in 𝒩=1 super Yang–Mills theory on ℝ2×S1×S1 with ’t Hooft twist from Monopole-Vortex continuity

We study the [Formula: see text] super Yang–Mills (SYM) theory on [Formula: see text] with ’t Hooft twist. This setup allows us to interpolate between the monopole and center-vortex semiclassical frameworks, which have been proposed for understanding confinement. Based on this unified perspective, we revisit the semiclassical analysis of [Formula: see text] super Yang–Mills theory and elucidate aspects not fully understood previously. Among a few puzzles, we address the underlying mechanism for the switching of the Wilson loop behavior: area law in 3d and perimeter law in 2d. This proceedings paper is based on Ref. 1 .