Free tensor multiplets and strings in spontaneously broken six-dimensional (2,0) theory

TL;DR

This paper reviews representations of (2,0) superalgebra, constructs a free tensor multiplet Lagrangian, analyzes R-symmetry breaking, and develops a supersymmetric string action in six-dimensional theory.

Contribution

It introduces a supersymmetric Lagrangian for a free tensor multiplet and constructs a kappa-symmetric string action in a spontaneously broken (2,0) six-dimensional framework.

Findings

Constructed a supersymmetric Lagrangian for the tensor multiplet.

Rewritten the theory for R-symmetry breaking analysis.

Developed a kappa-symmetric string action.

Abstract

We first review the representations of the six-dimensional (2,0) superalgebra on a free tensor multiplet and on a free string. We then construct a supersymmetric Lagrangian describing a free tensor multiplet. (It also includes a decoupled anti self-dual part of the three-form field strength.) This field theory is then rewritten in variables appropriate for analyzing a situation where the R-symmetry is spontaneously broken by the vacuum expectation values of the scalar moduli fields. Finally, we construct a supersymmetric and kappa-symmetric action for a free string.