The Conformal Spectrum of Non-Abelian Anyons
arXiv:1611.05848 · doi:10.21468/SciPostPhys.4.4.022
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.
26 pages, 1 figure (plus Feynman diagrams drawn with feynMF). v2: added comments on counting BPS states
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- Nonrelativistic Conformal Field Theories in the Large Charge Sector
- The Spinful Large Charge Sector of Non-Relativistic CFTs: From Phonons to Vortex Crystals
- Renormalization properties of a Galilean Wess-Zumino model
- The Quantum Origins of Non-Topological Vortices
- Holomorphicity, Vortex Attachment, Gauge Invariance and the Fractional Quantum Hall Effect