Chiral central charge from a single bulk wave function

TitleChiral central charge from a single bulk wave function
Publication TypeJournal Article
Year of Publication2022
AuthorsKim, IH, Shi, B, Kato, K, Albert, VV
JournalPhys. Rev. Lett.
Date Published4/28/2022

A (2+1)-dimensional gapped quantum many-body system can have a topologically protected energy current at its edge. The magnitude of this current is determined entirely by the temperature and the chiral central charge, a quantity associated with the effective field theory of the edge. We derive a formula for the chiral central charge that, akin to the topological entanglement entropy, is completely determined by the many-body ground state wave function in the bulk. According to our formula, nonzero chiral central charge gives rise to a topological obstruction that prevents the ground state wave function from being real-valued in any local product basis.