2025/07/17 by Giacomelli, Simone, Harding, William, Mekareeya, Noppadol +1
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)
paper · doi:10.48550/arxiv.2507.13434
We propose that Argyres-Douglas theories of type Dp(SU(N)) and (Ap-1, AN-1) - both realizable as Type A class S theories with irregular punctures - can be obtained via a sequence of mass deformations from a common ancestor: a class S theory with only regular punctures. Building on our previous work, this result establishes that these theories ultimately originate from 6d N=(1,0) orbi-instanton theories compactified on a torus. The requisite 4d mass deformations are realized as tractable Fayet-Iliopoulos deformations on the 3d mirror quiver. The core of our method is a constructive procedure that utilizes the Euclidean algorithm to define a chain of deformations connecting different Dp(SU(N)) theories. By reversing this chain, we recursively build a "parent" star-shaped quiver for any given (N,p). This quiver is the 3d mirror theory of the required class S ancestor. We substantiate our general claims with several detailed examples that explicitly illustrate the deformation procedure.