Kink in dual dilaton-axion theories with potential

TL;DR

This paper uses Ernst's complex potential to analyze dual dilaton-axion theories with potential, constructing a duality-invariant theory and deriving a soliton solution related to dilaton kinks.

Contribution

It introduces a duality-invariant formulation of dilaton-axion theories and finds a new soliton solution linked to the duality symmetry.

Findings

Constructed a duality-invariant theory using Ernst's potential.

Derived a soliton solution dual to a dilaton kink.

Analyzed the symmetry properties of the system.

Abstract

The representation in terms of Ernst's complex potential is used to describe and analyze dilaton-axion theories with potential. The set of such systems is divided into pairs of dual systems with respect to the inversion of the Ernst potential. Using duality, a theory is constructed that is invariant with respect to the nonlinear Ehlers transformation. For this theory, a soliton solution is obtained that is dual to a dilaton kink in a system that is invariant with respect to the axion shift transformation.