Improved non-Abelian tensor multiplet action

TL;DR

This paper develops a modified superfield action for the six-dimensional non-Abelian tensor multiplet, overcoming limitations of previous approaches by introducing a novel Lagrange multiplier mechanism.

Contribution

It presents a new construction of the non-Abelian tensor multiplet action that avoids the need for a non-compact gauge group, using a modified PST approach with a composite Lagrange multiplier.

Findings

Modified action includes non-Abelian tensor fields

Self-duality is enforced by a composite Lagrange multiplier

Avoids the non-compact gauge group constraint

Abstract

Construction of the superfield action of the $N=(1,0)$, $d=6$ non-Abelian tensor multiplet based on the non-Abelian tensor hierarchies is considered. It is shown that while straightforward non-Abelian generalization of the Pasti-Sorokin-Tonin action is not a workable solution, a suitable truncation of the PST action can be still be modified to include non-Abelian tensor field. In the modified action, the self-dual equation of motion of the tensor field is induced by a composite Lagrange multiplier, which is not a component of a standard dynamical tensor multiplet. As a result, the constraint that enforces the gauge group to be non-compact, as in the usual tensor hierarchies, can be avoided.