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arXiv · 2610.31780

Fermions Scattering Off Non-Abelian Rotors

George Koundouros·David Tong
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Abstract

We study the dynamics of $d=1+1$ chiral fermions interacting with a rotor impurity. The rotors are non-Abelian, taking values in either an $SU(N)$ group manifold, or an $SU(N)/SO(N)$ coset. At low energies, the fermions pass through the impurity, seemingly unimpeded, but trailing a topological line that is necessary for current conservation. In certain cases, these topological lines exhibit non-Abelian fusion and braiding. This can be viewed as a toy model that captures aspects of s-wave monopole-fermion scattering in $d=3+1$ dimensions.

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George Koundouros, David Tong. 2026-10-22. Fermions Scattering Off Non-Abelian Rotors. https://arxiv.org/abs/2610.31780

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