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PIRSA:18080046

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https://pirsa.org/18080046

The low-energy TQFT of the generalized double semion model

Debray, A. (2018). The low-energy TQFT of the generalized double semion model. Perimeter Institute for Theoretical Physics. https://pirsa.org/18080046

Arun Debray University of Texas - Austin

Talk numberPIRSA:18080046
DOI10.48660/18080046
Source RepositoryPIRSA
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Talk Type Conference
Subject

Abstract

The generalized double semion model, introduced by Freedman and Hastings, is a lattice field theory similar to the toric code, with a gapped Hamiltonian whose space of ground states depends on the topology of the ambient manifold. In this talk, I’ll explain how to calculate its low-energy limit, which forms part of a topological field theory, in terms of characteristic classes of the ambient manifold.