Orbifold groupoids

By D. Gaiotto, Justin Kulp. Journal of High Energy Physics, 2020

204 citations recorded by the source corpus.

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.

Subfields: Atomic and Molecular Physics, and Optics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/3bda85b96921c01257c74b089aab4fcb1cb85bb0

Citations in the corpus

• Higher Gauging and Non-invertible Condensation Defects (2022, unknown): “This has been discussed extensively for non-invertible 0-form symmetries in 1+1d [35,39,40,3,15,14,41] and for non-invertible 1-form symmetries in 2+1d (see [42–45] for recent discussions).”