The non-Abelian, PST and supersymmetric formulations of Hull's notons

TL;DR

This paper develops non-Abelian, PST, and supersymmetric formulations of Hull's noton, a field used to cancel anomalies in chiral p-forms, using a dual projection approach that avoids constraints.

Contribution

It introduces new formulations of Hull's noton with non-Abelian, PST, and supersymmetric features via a dual projection method.

Findings

Noton can be formulated non-Abelianly.

PST and supersymmetric formulations of the noton are established.

Dual projection provides an alternative to constraint-based gauging.

Abstract

Chiral p-forms are, in fact, present in many supersymmetric and supergravity models in two, six and ten dimensions. In this work, the dual projection procedure, which is essentially equivalent to a canonical transformation, is used to diagonalize some theories in D=2 (0-forms). The dual projection performed here provides an alternative way of gauging the chiral components without the necessity of constraints. It is shown, through the dual projection, that the nonmover field (the noton) initially introduced by Hull to cancel out the Siegel anomaly, has non-Abelian, PST and supersymmetric formulations.