Supersymmetric coupling of a self-dual string to a (2,0) tensor multiplet background

TL;DR

This paper develops a supersymmetric interaction model between a self-dual string and a (2,0) tensor multiplet in six dimensions, incorporating a Nambu-Goto term and a non-local Wess-Zumino term, ensuring supersymmetry and kappa-symmetry invariance.

Contribution

It constructs the first explicit supersymmetric and kappa-symmetric coupling between a self-dual string and a (2,0) tensor multiplet background.

Findings

The interaction includes a Nambu-Goto term with tension from scalar fields.

A non-local Wess-Zumino term encodes electromagnetic coupling.

The model is invariant under (2,0) supersymmetry and kappa-symmetry.

Abstract

We construct an interaction between a (2,0) tensor multiplet in six dimensions and a self-dual string. The interaction is a sum of a Nambu-Goto term, with the tension of the string given by the modulus of the scalar fields of the tensor multiplet, and a non-local Wess-Zumino term, that encodes the electromagnetic coupling of the string to the two-form gauge field of the tensor multiplet. The interaction is invariant under global (2,0) supersymmetry, modulo the equations of motion of a free tensor multiplet. It is also invariant under a local fermionic kappa-symmetry, as required by the BPS-property of the string.