Covariant actions for chiral supersymmetric bosons

TL;DR

This paper reviews a covariant Lagrangian formulation for chiral bosons with self-dual field strengths and extends it to supersymmetric models, providing explicit constructions in six dimensions with N=1 supersymmetry.

Contribution

It introduces a covariant Lagrangian approach for chiral bosons and extends it to supersymmetric theories, including explicit six-dimensional models.

Findings

Covariant Lagrangian formulation for chiral bosons with self-duality.

Extension of the formulation to supersymmetric models.

Explicit six-dimensional N=1 supersymmetric examples.

Abstract

We review a recently developed covariant Lagrangian formulation for $p$--forms with (anti)self-dual field-strengths and present its extension to the supersymmetric case. As explicit examples we construct covariant Lagrangians for six-dimensional models with N=1 rigid and curved supersymmetry.