S-duality wall of SQCD from Toda braiding

TL;DR

This paper constructs and analyzes the S-duality wall of 4D N=2 SU(N) SQCD using Toda CFT braiding kernels, revealing a self-dual 3D defect theory with novel features and connections to known dualities.

Contribution

It provides a new description of the S-duality wall in SQCD via Toda CFT braiding, introducing a self-dual 3D defect theory with monopole superpotential.

Findings

The domain-wall theory is a 3D N=2 U(N-1) SQCD with 2N flavors and monopole superpotential.

The theory is self-dual under a specific duality, analogous to T[SU(N)] in N=4 SYM.

The construction is realized through the AGT correspondence and Toda CFT braiding kernels.

Abstract

Exact field theory dualities can be implemented by duality domain walls such that passing any operator through the interface maps it to the dual operator. This paper describes the S-duality wall of four-dimensional ${\cal N}=2$ SU(N) SQCD with 2N hypermultiplets in terms of fields on the defect, namely three-dimensional ${\cal N}=2$ SQCD with gauge group U(N-1) and 2N flavours, with a monopole superpotential. The theory is self-dual under a duality found by Benini, Benvenuti and Pasquetti, in the same way that T[SU(N)] (the S-duality wall of ${\cal N}=4$ super Yang-Mills) is self-mirror. The domain-wall theory can also be realized as a limit of a USp(2N-2) gauge theory; it reduces to known results for N=2. The theory is found through the AGT correspondence by determining the braiding kernel of two semi-degenerate vertex operators in Toda CFT.