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Chiral topologically ordered states on a lattice from vertex operator algebra
Mathematical Physics| Speaker: | Nikita Sopenko, Caltech |
| Location: | Zoom |
| Start time: | Tue, May 2 2023, 4:10PM |
Description
I will describe a certain class of short-range correlated pure states of 2d lattice systems naturally associated with a unitary rational vertex operator algebra. I will argue that such states realize the chiral topological order associated with this vertex algebra. 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.