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Category and Topological Order Seminar
Chiral topologically ordered states on a lattice from vertex operator algebra
Chiral topologically ordered states on a lattice from vertex operator algebra
Organizer
Speaker
Nikita Sopenko
Time
Tuesday, April 4, 2023 9:00 AM - 11:00 AM
Venue
1129B
Abstract
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.