Six-dimensional superconformal couplings of non-abelian tensor and hypermultiplets

TL;DR

This paper constructs six-dimensional superconformal models involving non-abelian tensor and hypermultiplets, extending the understanding of (2,0) theories and their gauge structures with implications for anomaly cancellation.

Contribution

It introduces new six-dimensional superconformal models with non-abelian tensor and hypermultiplets, including the role of abelian factors for consistency.

Findings

Models describe (2,0) theories coupled to (1,0) vector multiplets

Inclusion of abelian factors resolves model constraints

Couplings align with anomaly cancellation and ADE gauge groups

Abstract

We construct six-dimensional superconformal models with non-abelian tensor and hypermultiplets. They describe the field content of (2,0) theories, coupled to (1,0) vector multiplets. The latter are part of the non-abelian gauge structure that also includes non-dynamical three- and four-forms. The hypermultiplets are described by gauged nonlinear sigma models with a hyper-Kaehler cone target space. We also address the question of constraints in these models and show that their resolution requires the inclusion of abelian factors. These provide couplings that were previously considered for anomaly cancellations with abelian tensor multiplets and resulted in the selection of ADE gauge groups.