Vacua and walls of mass-deformed K\"ahler nonlinear sigma models on $Sp(N)/U(N)$

TL;DR

This paper investigates the structure of vacua and domain walls in mass-deformed K"ahler nonlinear sigma models on the coset space $Sp(N)/U(N)$, revealing their relation to the algebraic roots of $USp(2N)$ and exploring complex wall configurations.

Contribution

It introduces a detailed analysis of vacua and walls in these models, linking elementary walls to simple roots and examining complex wall phenomena using the moduli matrix formalism.

Findings

Elementary walls correspond to simple roots of $USp(2N)$

Analysis of compressed, penetrable, and multiwalls

Use of moduli matrix formalism for wall configurations

Abstract

We study vacua and walls of mass-deformed K\"ahler nonlinear sigma models on $Sp(N)/U(N)$. We identify elementary walls with the simple roots of $USp(2N)$ and discuss compressed walls, penetrable walls and multiwalls by using the moduli matrix formalism.