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

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.