The Conformal Spectrum of Non-Abelian Anyons
High Energy Physics - Theory
2018-05-02 v2
Abstract
We study the spectrum of multiple non-Abelian anyons in a harmonic trap. The system is described by Chern-Simons theory, coupled to either bosonic or fermionic non-relativistic matter, and has an SO(2,1) conformal invariance. We describe a number of special properties of the spectrum, focussing on a class of protected states whose energies are dictated by their angular momentum. We show that the angular momentum of a bound state of non-Abelian anyons is determined by the quadratic Casimirs of their constituents.
Keywords
Cite
@article{arxiv.1611.05848,
title = {The Conformal Spectrum of Non-Abelian Anyons},
author = {Nima Doroud and David Tong and Carl Turner},
journal= {arXiv preprint arXiv:1611.05848},
year = {2018}
}
Comments
26 pages, 1 figure (plus Feynman diagrams drawn with feynMF). v2: added comments on counting BPS states