PIRSA:15100109 Conference

DOI10.48660/15100109

Conference/School: Condensed Matter Physics and Topological Field Theory

Wang, Z. (2015). (3+1)-TQFTs from G-crossed braided fusion categories and their lattice realization. Perimeter Institute. https://pirsa.org/15100109

Wang, Zhenghan. (3+1)-TQFTs from G-crossed braided fusion categories and their lattice realization. Perimeter Institute, Oct. 23, 2015, https://pirsa.org/15100109 

@misc{ pirsa_PIRSA:15100109,
  doi = {10.48660/15100109},
  url = {https://pirsa.org/15100109},
  author = {Wang, Zhenghan},
  keywords = {Condensed Matter},
  language = {en},
  title = {(3+1)-TQFTs from G-crossed braided fusion categories and their lattice realization},
  publisher = {Perimeter Institute},
  year = {2015},
  month = {oct},
  note = {PIRSA:15100109 see, \url{https://pirsa.org}}
}

Abstract

Unitary fusion categories are the algebraic input for the Turaev-Viro (TV) type TQFTs in (2+1)-dimensions and their Hamiltonian realization for the Levin-Wen model. We are interested in a generalization to unitary 2-fusion category for (3+1)-dimensions. Mackaay's spherical 2-categories are not general enough to include interesting examples such as the G-crossed braided fusion categories and general homotopy 2-types. We will discussion new (3+1)-TQFTs with G-crossed braided fusion categories as input, and their lattice realization based on the thesis work of Shawn X. Cui.

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