Monte-Carlo Simulation of Domain-Wall Network in Two-dimensional Extended Supersymmetric Theory

TL;DR

This paper demonstrates the existence of solitonic solutions in 2D N=2 supersymmetric theories using Hamilton-Jacobi methods, confirming the Bogomol'nyi bound and discussing domain-wall structures in 3D.

Contribution

It introduces a Hamilton-Jacobi approach to find solitons in supersymmetric theories and confirms the Bogomol'nyi bound saturation, extending to domain-wall structures.

Findings

Solitonic solutions exist in 2D N=2 supersymmetric theories.

Bogomol'nyi mass bound is saturated by these solutions.

Triangular mass inequality is satisfied.

Abstract

We will show that 2-dimensional N=2-extended supersymmetric theory can have solitonic solution using the Hamilton-Jacobi method of classical mechanics. Then it is shown that the Bogomol'nyi mass bound is saturated by these solutions and triangular mass inequality is satisfied. At the end, we will mention domain-wall structure in 3-dimensional spacetime.