A new rank-2 Argyres-Douglas theory

TL;DR

This paper presents evidence for a new strongly-coupled 4D $ abla=2$ superconformal field theory from a mass-deformed $G_2$ gauge theory, using geometric bootstrap methods and proposing a VOA correspondence without relying on Seiberg-Witten curves.

Contribution

It introduces a novel rank-2 Argyres-Douglas theory, employing geometric constraints for data bootstrap and proposing a VOA and class $ ext{S}$ interpretation.

Findings

Evidence for a new rank-2 Argyres-Douglas theory.

Construction of a VOA with a modular differential equation.

Identification with existing class $ ext{S}$ theories.

Abstract

We provide evidence for the existence of a new strongly-coupled four dimensional $\mathcal{N}=2$ superconformal field theory arising as a non-trivial IR fixed point on the Coulomb branch of the mass-deformed superconformal Lagrangian theory with gauge group $G_2$ and four fundamental hypermultiplets. Notably, our analysis proceeds by using various geometric constraints to bootstrap the data of the theory, and makes no explicit reference to the Seiberg-Witten curve. We conjecture a corresponding VOA and check that the vacuum character satisfies a linear modular differential equation of fourth order. We also propose an identification with existing class $\mathcal{S}$ constructions.