# Confining Strings, Infinite Statistics and Integrability

## TL;DR

This paper explores confining strings in 2D chromodynamics, revealing a novel integrable system with infinite quon statistics and connections to $T\bar T$-deformed fermions, advancing understanding of non-perturbative gauge dynamics.

## Contribution

It introduces a new integrable relativistic N-body system arising from confining strings, with a unique symmetry algebra including a shadow Poincaré subalgebra.

## Key findings

- Identification of a simple integrable N-body system in high energy limit
- Demonstration of non-trivial infinite quon statistics on the worldsheet
- Connection of the model to $T\bar T$-deformed massless fermions

## Abstract

We study confining strings in massive adjoint two-dimensional chromodynamics. Off-shell, as a consequence of zigzag formation, the resulting worldsheet theory provides a non-trivial dynamical realization of infinite quon statistics. Taking the high energy limit we identify a remarkably simple and novel integrable relativistic $N$-body system. Its symmetry algebra contains an additional "shadow" Poincar\'e subalgebra. This model describes the $N$-particle subsector of a $T\bar T$-deformed massless fermion.