Collective states of interacting $D(D_3)$ non-Abelian anyons

TL;DR

This paper investigates the finite size spectrum of integrable quantum chains of non-Abelian anyons based on the Drinfeld double of D_3, revealing their low energy modes as products of two conformal field theories.

Contribution

It provides a detailed analysis of the spectrum and symmetry decomposition of D_3 non-Abelian anyon chains, advancing understanding of their low energy behavior.

Findings

Identification of gapless modes as conformal field theory products

Decomposition of low energy spectrum according to residual symmetries

Characterization of finite size spectra of D_3 non-Abelian anyon chains

Abstract

We study the finite size spectrum of integrable quantum chains of interacting non-Abelian anyons constructed using the Drinfeld double of the dihedral group $D_3$. The gapless low energy modes are identified as the direct product of two conformal field theories which can be decomposed according to the residual symmetries of the chains subject to periodic boundary conditions.