PIRSA: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. https://pirsa.org/18080046

Debray, Arun. The low-energy TQFT of the generalized double semion model. Perimeter Institute, Aug. 13, 2018, https://pirsa.org/18080046 

          @misc{ pirsa_PIRSA:18080046,
            doi = {10.48660/18080046},
            url = {https://pirsa.org/18080046},
            author = {Debray, Arun},
            keywords = {Mathematical physics},
            language = {en},
            title = {The low-energy TQFT of the generalized double semion model},
            publisher = {Perimeter Institute},
            year = {2018},
            month = {aug},
            note = {PIRSA:18080046 see, \url{https://pirsa.org}}
          }

Arun Debray University of Texas - Austin

DOI 10.48660/18080046
Collection
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.