PreprintCC BY 4.0arXiv
Fermions Scattering Off Non-Abelian Rotors
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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BibTeX
@misc{koundouros2026fermions,
title = {{Fermions Scattering Off Non-Abelian Rotors}},
author = {George Koundouros and David Tong},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.31780},
eprint = {2610.31780},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.31780},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Fermions Scattering Off Non-Abelian Rotors
AU - George Koundouros
AU - David Tong
PY - 2026
DA - 2026/10/22
PB - arXiv
DO - 10.48550/arxiv.2610.31780
UR - https://arxiv.org/abs/2610.31780
AB - 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.
ER -