The conformal spectrum of non-Abelian anyons

被引：8

作者：

Doroud, Nima ^{[1
]}

Tong, David ^{[2
]}

Turner, Carl ^{[2
]}

机构：

[1] Int Sch Adv Studies SISSA, Via Bonomea 265, I-34136 Trieste, Italy

[2] Univ Cambridge, Dept Appl Math & Theoret Phys, Cambridge CB3 0WA, England

来源：

SCIPOST PHYSICS | 2018年 / 4卷 / 04期

基金：

欧洲研究理事会;

关键词：

AHARONOV-BOHM SCATTERING; CHERN-SIMONS THEORY; CONTACT INTERACTIONS; QUANTUM-MECHANICS; FRACTIONAL-SPIN; INVARIANCE; SYMMETRY; SYSTEMS;

D O I：

10.21468/SciPostPhys.4.4.022

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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 nonrelativistic 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.

引用

页数：23

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