More on the Matter of 6D SCFTs

TL;DR

This paper investigates 6D superconformal field theories derived from M5-branes on ADE singularities, analyzing their operator dimensions and deformations using F-theory, revealing a universal scaling dimension for certain operators.

Contribution

It provides a calculation of the scaling dimension of the seven-brane recombination operator in 6D SCFTs using F-theory, showing it is at least six and marginally irrelevant.

Findings

Operator dimension is at least six in all cases with an interacting fixed point.

The recombination operator defines a marginal irrelevant deformation.

Theories exhibit G x G flavor symmetry and a Higgs branch.

Abstract

M5-branes probing an ADE singularity lead to 6D SCFTs with (1,0) supersymmetry. On the tensor branch, the M5-branes specify domain walls of a 7D Super Yang-Mills theory with gauge group G of ADE-type, thus providing conformal matter for a broad class of generalized quiver theories. Additionally, these theories have G x G flavor symmetry, and a corresponding Higgs branch. In this note we use the F-theory realization of these theories to calculate the scaling dimension of the operator parameterizing seven-brane recombination, i.e. motion of the stack of M5-branes off of the orbifold singularity. In all cases with an interacting fixed point, we find that this operator has scaling dimension at least six, and defines a marginal irrelevant deformation.