Abstract
Abstract
We review the properties of orbifold operations on two-dimensional quantum field theories, either bosonic or fermionic, and describe the “Orbifold groupoids” which control the composition of orbifold operations. Three-dimensional TQFT’s of Dijkgraaf-Witten type will play an important role in the analysis. We briefly discuss the extension to generalized symmetries and applications to constrain RG flows.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Reference92 articles.
1. M. Barkeshli, P. Bonderson, M. Cheng and Z. Wang, Symmetry fractionalization, defects, and gauging of topological phases, Phys. Rev. B 100 (2019) 115147 [arXiv:1410.4540] [INSPIRE].
2. D. Gaiotto, A. Kapustin, N. Seiberg and B. Willett, Generalized global symmetries, JHEP 02 (2015) 172 [arXiv:1412.5148] [INSPIRE].
3. D. Gaiotto and T. Johnson-Freyd, Symmetry protected topological phases and generalized cohomology, JHEP 05 (2019) 007 [arXiv:1712.07950] [INSPIRE].
4. A.Y. Kitaev, On the classification of short-range entangled states, http://scgp.stonybrook.edu/video_portal/video.php?id=2010.
5. A. Y. Kitaev, Homotopy-theoretic approach to SPT phases in action: Z16 classification of three-dimensional superconductors, talk given at Symmetry and topology in quantum matter , January 26–30, Ipam, Los Angeles, U.S.A. (2015).
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