't Hooft anomalies of discrete gauge theories and non-abelian group cohomology
DOI10.1007/s00220-019-03546-wzbMath1455.81042arXiv1811.05446OpenAlexW3102291928WikidataQ127405973 ScholiaQ127405973MaRDI QIDQ2181949
Lukas Müller, Richard J. Szabo
Publication date: 20 May 2020
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1811.05446
Spectral sequences, hypercohomology (18G40) String and superstring theories in gravitational theory (83E30) Yang-Mills and other gauge theories in quantum field theory (81T13) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Anomalies in quantum field theory (81T50) Topological field theories in quantum mechanics (81T45) Applications of global differential geometry to the sciences (53C80) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Eta-invariants, Chern-Simons invariants (58J28) Cohomology theory for linear algebraic groups (20G10) Projective representations and multipliers (20C25)
Related Items
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Twisted equivariant matter
- The braided monoidal structures on a class of linear Gr-categories
- (Op)lax natural transformations, twisted quantum field theories, and ``even higher Morita categories
- Topological quantum field theories
- Fusion categories and homotopy theory
- Topological gauge theories and group cohomology
- The twisted Drinfeld double of a finite group via gerbes and finite groupoids
- Homotopy quantum field theory. With appendices by Michael Müger and Alexis Virelizier.
- Automorphisms of group extensions and differentials in the Lyndon-Hochschild-Serre spectral sequence
- Chern-Simons theory with finite gauge group
- Braided monoidal 2-categories and Manin-Schechtman higher braid groups
- Index theory, gerbes, and Hamiltonian quantization
- Orbifold construction for topological field theories
- From gauge to higher gauge models of topological phases
- Gapped boundary theory of the twisted gauge theory model of three-dimensional topological orders
- Extended quantum field theory, index theory, and the parity anomaly
- A decomposition of the Brauer-Picard group of the representation category of a finite group
- Equivariant topological quantum field theory and symmetry protected topological phases
- Excitation basis for (3+1)d topological phases
- Generalized global symmetries
- Classical Chern-Simons theory. I
- Equivariant modular categories via Dijkgraaf-Witten theory
- Orientation twisted homotopy field theories and twisted unoriented Dijkgraaf-Witten theory
- Reflection positivity and invertible topological phases
- Topological dualities in the Ising model
- Parallel transport of higher flat gerbes as an extended homotopy quantum field theory
- Topological field theory on a lattice, discrete theta-angles and confinement
- Symmetry protected topological phases and generalized cohomology
- Extended homotopy quantum field theories and their orbifoldization
- Cohomological twisting of 2-linearization and extended TQFT
- Boundary conditions for topological quantum field theories, anomalies and projective modular functors
- Hamiltonian anomalies from extended field theories
- Three natural subgroups of the Brauer-Picard group of a Hopf algebra with applications
- Gapped boundaries, group cohomology and fault-tolerant logical gates
- Hamiltonian and algebraic theories of gapped boundaries in topological phases of matter
- On 2-group global symmetries and their anomalies
- Relative quantum field theory
- On the Brauer groups of symmetries of abelian Dijkgraaf-Witten theories
- Categorical non-abelian cohomology and the Schreier theory of groupoids
- Fermionic symmetry protected topological phases and cobordisms
- Anomalies and Invertible Field Theories
- Supersymmetric field theories and generalized cohomology
- On time-reversal anomaly of 2+1d topological phases
- Lectures on N-Categories and Cohomology
- A primer on computational group homology and cohomology
- A Parallel Section Functor for 2-Vector Bundles
- Higher Symmetry and Gapped Phases of Gauge Theories
- Topological insulators and the Kane–Mele invariant: Obstruction and localization theory
- Higher-Dimensional Algebra VII: Groupoidification
- On 3-dimensional homotopy quantum field theory II: The surgery approach
- Cohomology of Group Extensions
- Quasi Hopf algebras, group cohomology and orbifold models
