Self-Duality beyond Chiral p-Form Actions

TL;DR

This paper explores the broader context of self-duality in chiral p-forms, extending beyond traditional actions to include models like the Floreanini-Jackiw chiral bosons and the generalized chiral Schwinger model, revealing new dualities.

Contribution

It demonstrates that self-duality phenomena are present in a wider class of models related to chiral p-forms, including gauge-invariant formulations and dualities in currents.

Findings

Self-duality appears in models beyond traditional chiral p-form actions.

The self-duality in the GCSM corresponds to vector and axial vector current duality.

The study extends understanding of self-duality in various theoretical models.

Abstract

The self-duality of chiral p-forms was originally investigated by Pasti, Sorokin and Tonin in a manifestly Lorentz covariant action with non-polynomial auxiliary fields. The investigation was then extended to other chiral p-form actions. In this paper we point out that the self-duality appears in a wider context of theoretical models that relate to chiral p-forms. We demonstrate this by considering the interacting model of Floreanini-Jackiw chiral bosons and gauge fields, the generalized chiral Schwinger model (GCSM) and the latter's gauge invariant formulation, and discover that the self-duality of the GCSM corresponds to the vector and axial vector current duality.