Tiling with almost-BPS states

TL;DR

This paper introduces techniques to construct infinite lattices using almost-BPS states, which are metastable and stable under small perturbations, extending the understanding of BPS junctions in the Wess-Zumino model.

Contribution

It presents a method to build infinite lattice tilings with nearly-BPS states, demonstrating their metastability and stability properties.

Findings

Almost-BPS states form stable lattice tilings

Metastability persists under small perturbations

Techniques extend BPS junction studies in field theory

Abstract

In the light of recent studies of BPS triple junctions in the Wess-Zumino model we describe techniques to construct infinite lattices using similar junctions. It is shown that whilst these states are only approximately locally BPS they are nevertheless stable to small perturbations, giving a metastable tiling of the plane.