Two-Form Asymptotic Symmetries and Scalar Soft Theorems
Dario Francia, Carlo Heissenberg
TL;DR
The paper studies large gauge transformations of a two-form gauge field in 4D Minkowski space and links them to scalar soft theorems by interpreting the soft scalar mode through the two-form dual. It derives the asymptotic falloffs and Noether charges for the two-form, showing how the soft scalar charges can be mapped to these two-form charges via duality, with Q_s^+ = r \tilde Q^+ and a specific relation between the angular functions and residual gauge parameters. It discusses subtleties arising from the radial gauge leading to vanishing charges at infinity and proposes modifications to restore a nontrivial soft charge, offering a dual perspective that could illuminate soft theorems for higher spins and gravity in dual descriptions. The work suggests that dual formulations may reveal symmetries obscured in a single d.o.f. description and motivates further exploration of soft theorems in dual theories.
Abstract
We investigate the large gauge transformations of a two-form gauge field in four-dimensional Minkowski space. Our goal is to establish a connection between these asymptotic symmetries and the scalar soft theorems described by Campiglia, Coito and Mizera whereas the soft scalar mode should be interpreted in terms of its two-form dual counterpart.