SciPost logo

The Conformal Spectrum of Non-Abelian Anyons

Nima Doroud, David Tong, Carl Turner

SciPost Phys. 4, 022 (2018) · published 30 April 2018

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.

Cited by 6

Crossref Cited-by

Ontology / Topics

See full Ontology or Topics database.

Anyons Chern-Simons theory Conformal field theory (CFT) Harmonic traps Non-abelian statistics Quadratic Casimirs

Authors / Affiliations: mappings to Contributors and Organizations

See all Organizations.
Funder for the research work leading to this publication