Supersymmetrizing the Pasti-Sorokin-Tonin action

TL;DR

This paper constructs a supersymmetric extension of the Pasti-Sorokin-Tonin action for self-dual tensor fields using harmonic superspace, ensuring consistency with supersymmetry and gauge symmetries without introducing extra degrees of freedom.

Contribution

It introduces a superfield formulation of the PST action for tensor multiplets in six-dimensional supersymmetry, extending the known bosonic action to a supersymmetric framework.

Findings

Superfield formulation of the PST action is achieved.

Gauge symmetries are extended to superfield level.

No extra degrees of freedom appear in the supersymmetric model.

Abstract

In this paper the harmonic superspace action of the tensor multiplet of $N=(1,0)$, $d=6$ supersymmetry is constructed which in the bosonic limit reduces to the known Pasti-Sorokin-Tonin action for the self-dual tensor field. The action involves, besides the potential containing the dynamical fields, also an auxiliary tensor multiplet and a set of analytic superfields with gauge PST scalar among them. For each of gauge symmetries of the PST action, a superfield analog is found. The equations of motion are calculated and it is shown in the bosonic limit that no extra degrees of freedom appear.