The Conformal Spectrum of Non-Abelian Anyons

Doroud, Nima; Tong, David; Turner, Carl

doi:10.21468/SciPostPhys.4.4.022

SciPost Physics

The Conformal Spectrum of Non-Abelian Anyons

Nima Doroud, David Tong, Carl Turner

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

doi: 10.21468/SciPostPhys.4.4.022
pdf
Submissions/Reports

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.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.4.4.022
TI  - The Conformal Spectrum of Non-Abelian Anyons
PY  - 2018/04/30
UR  - https://www.scipost.org/SciPostPhys.4.4.022
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 4
IS  - 4
SP  - 022
A1  - Doroud, Nima
AU  - Tong, David
AU  - Turner, Carl
AB  - 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.
ER  -

@Article{10.21468/SciPostPhys.4.4.022,
	title={{The Conformal Spectrum of Non-Abelian Anyons}},
	author={Nima Doroud and David Tong and Carl Turner},
	journal={SciPost Phys.},
	volume={4},
	pages={022},
	year={2018},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.4.4.022},
	url={https://scipost.org/10.21468/SciPostPhys.4.4.022},
}

Cited by 6

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

European Research Council [ERC]