Spin bits at two loops

TL;DR

This paper constructs a two-loop SU(2) spin bit model in Super Yang--Mills theory, demonstrating its reduction to a planar integrable spin chain in the large N limit, advancing understanding of gauge-spin system mappings.

Contribution

It introduces a two-loop level spin bit model for SU(2) in Super Yang--Mills theory, extending the gauge-spin system correspondence to higher loops.

Findings

Model describes a chaining interaction spin system.

In the large N limit, reduces to a two-loop planar integrable spin chain.

Enhances understanding of gauge-spin system relations at higher loops.

Abstract

We consider the Super Yang--Mills/spin system map to construct the SU(2) spin bit model at the level of two loops in Yang--Mills perturbation theory. The model describes a spin system with chaining interaction. In the large $N$ limit the model is shown to be reduced to the two loop planar integrable spin chain.