Masses and Dualities in Extended Freedman-Townsend Models

TL;DR

This paper explores generalized Freedman-Townsend models with additional form fields, demonstrating mass generation via the Stueckelberg mechanism, analyzing duality properties, and revealing a paradoxical duality between free and interacting theories.

Contribution

It introduces new couplings in Freedman-Townsend models, implements the Stueckelberg mechanism in superspace, and studies duality properties revealing novel paradoxes.

Findings

Masses generated for antisymmetric tensors via Stueckelberg mechanism.

Duality between free and interacting theories observed.

Extended models include couplings to additional form fields.

Abstract

We consider some generalizations of Freedman-Townsend models of self-interacting antisymmetric tensors, involving couplings to further form fields introduced by Henneaux and Knaepen. We show how these fields can provide masses to the tensors by means of the Stueckelberg mechanism and implement the latter in four-dimensional N=1 superspace. The duality properties of the form fields are studied, and the paradoxical situation of a duality between a free and an interacting theory is encountered.