## 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
- 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.

### Cited by 2

### Ontology / Topics

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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.-
^{1 }Nima Doroud, -
^{2 }David Tong, -
^{2 }Carl Turner

^{1}Scuola Internazionale Superiore di Studi Avanzati / International School for Advanced Studies [SISSA]^{2}University of Cambridge

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