Confining Strings, Infinite Statistics and Integrability
2019
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" Poincare subalgebra. This model describes the $N$-particle subsector of a $T\bar T$-deformed massless fermion.
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