Lattice defect networks in 2d Yang-Mills

TL;DR

This paper develops a refined lattice framework for constructing defect networks in 2D Yang-Mills theory, maintaining locality and solvability, and demonstrates how these defects fuse consistently.

Contribution

Introduces a refined lattice method for defect networks in 2D Yang-Mills that preserves locality and subdivision invariance, enabling explicit fusion closure.

Findings

Defect networks constructed with the refined lattice approach.

Preservation of locality and subdivision invariance.

Explicit demonstration of fusion closure of defect building blocks.

Abstract

We construct defect networks in pure Yang-Mills theory in two dimensions using a refinement of the lattice approach. The refinement preserves the locality properties of individual defects, and is compatible with solvability of the theory via subdivision invariance. We explicitly demonstrate closure of the building blocks under fusion.