Work

Fermions Scattering Off Non-Abelian Rotors

Year: 2026
Type: preprint
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.
Language: English
Open Access status: green
OpenAlex ID: W7223679072
Cites: 40
Cited by: 1
Related to: 10