TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.18.6.197
TI  - On the relation between fractional charge and statistics
PY  - 2025/06/19
UR  - https://scipost.org/SciPostPhys.18.6.197
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 18
IS  - 6
SP  - 197
A1  - Hansson, Thors Hans
AU  - Arouca, Rodrigo
AU  - Klein Kvorning, Thomas
AB  - We revisit an argument, originally given by Kivelson and Roček, for why the existence of fractional charge necessarily implies fractional statistics. In doing so, we resolve a contradiction in the original argument, and in the case of a $\nu = 1/m$ Laughlin holes, we also show that the standard relation between fractional charge and statistics is necessary by an argument based on a t'Hooft anomaly in a one-form global $\mathcal{Z}_m$ symmetry.
ER  -

@Article{10.21468/SciPostPhys.18.6.197,
	title={{On the relation between fractional charge and statistics}},
	author={Thors Hans Hansson and Rodrigo Arouca and Thomas Klein Kvorning},
	journal={SciPost Phys.},
	volume={18},
	pages={197},
	year={2025},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.18.6.197},
	url={https://scipost.org/10.21468/SciPostPhys.18.6.197},
}