Spectral walls in multifield kink dynamics

TL;DR

Spectral walls are common phenomena in multifield kink dynamics, acting as singularities in the vibrational moduli space and significantly influencing soliton behavior in models with multiple scalar fields.

Contribution

This paper demonstrates that spectral walls are prevalent in (1+1)-dimensional multifield kink models with BPS sectors, revealing their role as dynamical singularities.

Findings

Spectral walls occur in models with multiple scalar fields and BPS sectors.

They act as singularities in the vibrational moduli space.

Spectral walls significantly influence soliton dynamics.

Abstract

We show that spectral walls are common phenomena in the dynamics of kinks in (1+1) dimensions. They occur in models based on two or more scalar fields with a nonempty Bogomol'nyi-Prasam-Sommerfield (BPS) sector, hosting two zero modes, where they are one of the main factors governing the soliton dynamics. We also show that spectral walls appear as singularities of the dynamical vibrational moduli space.