The Conformal Spectrum of Non-Abelian Anyons
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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)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.
2006 ◽
Vol 21
(35)
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pp. 2621-2635
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1991 ◽
Vol 06
(06)
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pp. 479-486
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1999 ◽
Vol 09
(PR10)
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pp. Pr10-223-Pr10-225
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