Chiral conformal field theory for topological states and the anyon eigenbasis on the torus

Hua-Chen, Zhang,; Wu, Ying-Hai; Xiang, Tao; Tu, Hong-Hao

doi:10.1016/j.nuclphysb.2022.115712

Cited by 5 publications

(1 citation statement)

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“…This is reminiscent of the fact that the ν = 1/2 bosonic Laughlin state has an emergent SU(2) symmetry [62] and the bilayer Halperin 221 state has an emergent SU(3) symmetry [63]. The SU(2) gauge field in the parton description and the emergent SO(5) symmetry also distinguish the present state from other SO(5) 1 chiral spin liquids [64][65][66][67] that were constructed by coupling topological superconductors to Z 2 gauge fields (in the spirit of Kitaev's 16-fold way [40]) and mostly have exact SO (5) symmetry at the microscopic level. The counting of edge states is computed using CFT techniques and confirmed in the entanglement spectrum.…”

Section: Discussionmentioning

confidence: 94%

Non-Abelian topological order with SO(5)$_{1}$ chiral edge states

Wu,

2022

Preprint

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We consider a chiral spin liquid constructed using the parton theory. This state supports non-Abelian anyons and neutral fermions, which share some similarities with the celebrated Moore-Read state. The edge physics of the parton state and the Moore-Read state is very different. Based on conformal field theory (CFT) analysis, it is proposed that the edge states exhibit an emergent SO(5) symmetry. The counting of edge states that form SO(5)1 CFT towers is computed. The chiral spin liquid is generated using tensor network methods, which allows us to confirm the SO(5)1 counting using entanglement spectrum. An additional feature of multiple branches in the entanglement spectrum is observed and analyzed.

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