Chiral topologically ordered states on a lattice from vertex operator algebras

• URL: http://arxiv.org/abs/2301.08697v2
• Date: Tue, 7 Nov 2023 16:55:39 GMT
• Title: Chiral topologically ordered states on a lattice from vertex operator algebras
• Authors: Nikita Sopenko
• Abstract summary: We show that the states are well-defined in the thermodynamic limit and have exponential decay of correlations. It also gives candidates for bosonic states in non-trivial invertible phases, including the $E_8$ phase.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We propose a class of pure states of two-dimensional lattice systems realizing topological order associated with unitary rational vertex operator algebras. We show that the states are well-defined in the thermodynamic limit and have exponential decay of correlations. The construction provides a natural way to insert anyons and compute certain topological invariants. It also gives candidates for bosonic states in non-trivial invertible phases, including the $E_8$ phase.

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