Duality-symmetric actions for non-Abelian tensor fields

TL;DR

This paper develops Lorentz-invariant duality-symmetric actions for non-Abelian tensor fields in six dimensions, enabling consistent descriptions of self-dual tensor hierarchies relevant to superconformal models.

Contribution

It introduces a novel class of duality-symmetric actions for non-Abelian tensor fields, including the first Lorentz-invariant formulation for such self-dual tensors.

Findings

Provides duality-symmetric actions for non-Abelian tensor hierarchies

Includes models related to 6d (1,0) superconformal theories

Enables consistent description of self-dual tensor fields

Abstract

We construct the duality-symmetric actions for a large class of six-dimensional models describing hierarchies of non-Abelian scalar, vector and tensor fields related to each other by first-order (self-)duality equations that follow from these actions. In particular, this construction provides a Lorentz invariant action for non-Abelian self-dual tensor fields. The class of models includes the bosonic sectors of the 6d (1,0) superconformal models of interacting non-Abelian self-dual tensor, vector, and hypermultiplets.