On the Brauer groups of symmetries of abelian Dijkgraaf-Witten theories

DOI10.1007/s00220-015-2420-yzbMath1327.81278arXiv1404.6646OpenAlexW3105406769MaRDI QIDQ2516223

Jan Priel, Jürgen Fuchs, Alessandro Valentino, Christoph Schweigert

Publication date: 11 August 2015

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.6646

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Topological field theories in quantum mechanics (81T45) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Related Items (18)

Orbifolds of \(n\)-dimensional defect TQFTs ⋮ Computing defects associated to bounded domain wall structures: the $\mathbb{Z}/p\mathbb{Z}$ case ⋮ 't Hooft anomalies of discrete gauge theories and non-abelian group cohomology ⋮ A decomposition of the Brauer-Picard group of the representation category of a finite group ⋮ Homomorphisms and rigid isomorphisms of twisted group doubles ⋮ Higher gauging and non-invertible condensation defects ⋮ Duality defects in \(E_8\) ⋮ Unnamed Item ⋮ Gapped boundaries and string-like excitations in (3+1)d gauge models of topological phases ⋮ The group of braided autoequivalences of the category of comodules over a coquasi-triangular Hopf algebra ⋮ Orbifold groupoids ⋮ Symmetries of abelian Chern-Simons theories and arithmetic ⋮ On gauging symmetry of modular categories ⋮ Fusing binary interface defects in topological phases: The Z/pZ case ⋮ Domain walls in topological phases and the Brauer-Picard ring for \(\mathrm{vec} (\mathbb{Z}/p\mathbb{Z})\) ⋮ Boundary topological entanglement entropy in two and three dimensions ⋮ Symmetry defects and orbifolds of two-dimensional Yang-Mills theory ⋮ Boundary conditions for topological quantum field theories, anomalies and projective modular functors

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