The Conformal Spectrum of Non-Abelian Anyons


Type
Article
Change log
Authors
Doroud, Nima 
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.

Description
Keywords
hep-th, hep-th
Journal Title
SciPost Physics
Conference Name
Journal ISSN
2542-4653
2542-4653
Volume Title
4
Publisher
SciPost Foundation
Sponsorship
European Research Council (279943)
Royal Society (WM160059)
Science and Technology Facilities Council (ST/P000681/1)