A-twisted correlators and Hori dualities

The Hori-Tong and Hori dualities are infrared dualities between two-dimensional gauge theories with $ \mathcal{N} $ = (2, 2) supersymmetry, which are reminiscent of four-dimensional Seiberg dualities. We provide additional evidence for those dualities with U(N$_{c}$ ), USp(2N$_{c}$ ), SO(N ) and O(N ) gauge groups, by matching correlation functions of Coulomb branch operators on a Riemann surface Σ$_{g}$ , in the presence of the topological A-twist. The O(N ) theories studied, denoted by O$_{+}$(N ) and O_(N ), can be understood as $ {\mathbb{Z}}_2 $ orbifolds of an SO(N ) theory. The correlators of these theories on Σ$_{g}$ with g > 0 are obtained by computing correlators with $ {\mathbb{Z}}_2 $ -twisted boundary conditions and summing them up with weights determined by the orbifold projection.