Waves and strings in an interacting conformal chiral 2-form theory in six dimensions

TL;DR

This paper presents the first exact solutions of a unique six-dimensional conformal chiral 2-form gauge theory coupled with gravity, including plane-wave, Robinson-Trautman, and dyonic string configurations, extending known supergravity solutions.

Contribution

It provides the first exact solutions of a non-linear conformal electrodynamics for chiral 2-forms in six dimensions with gravity coupling.

Findings

Exact plane-wave solutions in six-dimensional conformal chiral 2-form theory

Robinson-Trautman solutions generalizing supergravity configurations

Self-dual dyonic string solutions in the interacting theory

Abstract

In six dimensions there exists a unique one-parameter family of non-linear conformal electrodynamics for a chiral 2-form gauge field which includes (in a free-field limit) the linear chiral 2-form theory and is related, by dimensional reduction, to the four-dimensional ModMax electrodynamics. In this work, we present the first exact solutions of this theory in presence of gravity. In particular, we will consider plane-wave, Robinson-Trautman, and self-dual dyonic string configurations, generalizing well-known solutions of this type in six-dimensional supergravities with linear chiral 2-form multiplets.