Kink in the dilaton-axion theory with a potential possessing dilaton shift symmetry

TL;DR

This paper constructs an axion-type kink solution in a generalized dilaton-axion sigma model with a shift-symmetric potential, analyzing its properties in a (1+1)-dimensional setting.

Contribution

It introduces a potential invariant under dilaton shift symmetry into the dilaton-axion sigma model and explicitly constructs a soliton solution with a nontrivial dilaton profile.

Findings

Explicit axion-type kink solution with dilaton distribution

Solution valid for arbitrary dilaton-axion coupling

Calculated mass of the soliton

Abstract

The sigma model with dilaton and axion is generalized by including in it a potential that is invariant under the global transformation of the dilaton shift. In the (1 + 1)-dimensional case, a soliton is constructed, which turned out to be an axion-type kink (anti-kink) with a nontrivial distribution of the dilaton field. The solution is obtained for an arbitrary value of the dilaton-axion coupling constant, and its mass is found.