Moduli spaces of BPS lumps with holomorphic impurities

TL;DR

This paper introduces a generalized model for BPS lumps with impurities, analyzes the moduli space of solutions including lump-antilump pairs, and explores their geometric properties and relation to non-impurity theories.

Contribution

It presents a self-dual generalization of the lump-impurity system with new static solutions and analyzes their moduli space and geometric features.

Findings

Existence of lump-antilump solutions as static solutions

Analysis of the geometric properties of the moduli space

Impurity models as limits of non-impurity theories

Abstract

A self-dual generalization of the lump-impurity system is introduced. This model possesses lump-antilump-like pairs as static solutions of the pertinent Bogomolny equations. This allows for a moduli space approximation analysis of the BPS solutions which are identified as lump-antilump configurations. Some geometrical properties of the resulting moduli are analyzed. In addition, it is argued that, this type of impurity models can be interpreted as a limit of certain non-impurity theories.