Vacua and walls of mass-deformed K\"{a}hler nonlinear sigma models on $SO(2N)/U(N)$

TL;DR

This paper constructs domain walls in mass-deformed Kähler nonlinear sigma models on the coset space SO(2N)/U(N) using the moduli matrix formalism, revealing penetrable walls for N>3.

Contribution

It introduces a method to construct and analyze walls in these sigma models, highlighting the existence of penetrable walls for higher N values.

Findings

Walls are explicitly constructed using the moduli matrix formalism.

Penetrable walls are observed in models with N>3.

The structure of walls depends on the simple roots of SO(2N).

Abstract

We construct walls of mass-deformed K\"{a}hler nonlinear sigma models on $SO(2N)/U(N)$, by using the moduli matrix formalism and the simple roots of $SO(2N)$. Penetrable walls are observed in the nonlinear sigma models on $SO(2N)/U(N)$ with $N>3$.