A 6D nonabelian $(1,0)$ Theory

TL;DR

This paper constructs a new 6D nonabelian ${ m N}=(1,0)$ supersymmetric theory by coupling tensor and hypermultiplets, exploring its relation to higher supersymmetry and potential applications to M5-branes.

Contribution

It introduces a novel 6D ${ m N}=(1,0)$ nonabelian theory with flexible hypermultiplet representations, extending known theories and connecting to ${ m N}=(2,0)$ supersymmetry.

Findings

The theory reduces to 5D ${ m N}=1$ supersymmetric Yang-Mills upon dimensional reduction.

When hypermultiplet is in the adjoint, supersymmetry enhances to ${ m N}=(2,0)$.

Potential applications to multi M5-branes are discussed.

Abstract

We construct a 6D nonabelian ${\cal N}=(1,0)$ theory by coupling an ${\cal N}=(1,0)$ tensor multiplet to an ${\cal N}=(1, 0)$ hypermultiplet. While the ${\cal N}=(1, 0)$ tensor multiplet is in the adjoint representation of the gauge group, the hypermultiplet can be in the fundamental representation or any other representation. If the hypermultiplet is also in the adjoint representation of the gauge group, the supersymmetry is enhanced to ${\cal N}=(2, 0)$, and the theory is identical to the $(2,0)$ theory of Lambert and Papageorgakis (LP). Upon dimension reduction, the $(1,0)$ theory can be reduced to a general ${\cal N}=1$ supersymmetric Yang-Mills theory in 5D. We discuss briefly the possible applications of the theories to multi M5-branes.