Higher categorical symmetries and gauging in two-dimensional spin systems
From MaRDI portal
Publication:6604062
DOI10.21468/scipostphys.16.4.110MaRDI QIDQ6604062
Clement Delcamp, Apoorv Tiwari
Publication date: 12 September 2024
Published in: SciPost Physics (Search for Journal in Brave)
Quantum field theory; related classical field theories (81Txx) Equilibrium statistical mechanics (82Bxx) Categorical structures (18Dxx)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Defect loops in gauged Wess-Zumino-Witten models
- Models for gapped boundaries and domain walls
- Theory of twist liquids: Gauging an anyonic symmetry
- Fusion categories and homotopy theory
- Weakly group-theoretical and solvable fusion categories
- Monoidal 2-structure of bimodule categories
- Topological defect lines and renormalization group flows in two dimensions
- Fusion rules and modular transformations in 2D conformal field theory
- TFT construction of RCFT correlators. III: Simple currents
- Duality and defects in rational conformal field theory
- Topological gauge theories and group cohomology
- Centre of an algebra
- Quantum field theory and the Jones polynomial
- State sum invariants of 3-manifolds and quantum \(6j\)-symbols
- Generalized centers of braided and sylleptic monoidal 2-categories
- Boundary conformal field theory approach to the critical two-dimensional Ising model with a defect line
- From gauge to higher gauge models of topological phases
- State sum constructions of spin-TFTs and string net constructions of fermionic phases of matter
- Excitation basis for (3+1)d topological phases
- Exploring 2-group global symmetries
- On finite symmetries and their gauging in two dimensions
- Generalized global symmetries
- Ribbon graphs and their invariants derived from quantum groups
- TFT construction of RCFT correlators. I: Partition functions
- Fault-tolerant quantum computation by anyons
- From subfactors to categories and topology. I: Frobenius algebras in and Morita equivalence of tensor categories
- Higher dimensional algebra. I: Braided monoidal 2-categories
- Gapped boundaries and string-like excitations in (3+1)d gauge models of topological phases
- Classification of topological phases with finite internal symmetries in all dimensions
- Multifusion categories and finite semisimple 2-categories
- Excitations in strict 2-group higher gauge models of topological phases
- Characterizing topological order with matrix product operators
- Gapped boundary theories in three dimensions
- Invariants of 3-manifolds via link polynomials and quantum groups
- The center of monoidal 2-categories in 3+1D Dijkgraaf-Witten theory
- On 2-form gauge models of topological phases
- Line and surface defects in Reshetikhin-Turaev TQFT
- Representation theory of 2-groups on Kapranov and Voevodsky's 2-vector spaces
- On 2-group global symmetries and their anomalies
- Representation and character theory in 2-categories
- Statistics of the two-dimensional ferromagnet. I, II.
- Non-invertible symmetries of \(\mathcal{N} = 4\) SYM and twisted compactification
- Tensor network approach to electromagnetic duality in \((3+1)\)d topological gauge models
- On continuous 2-category symmetries and Yang-Mills theory
- Unraveling Spontaneously Broken Abelian Chern-Simons Theories
- Non-invertible topological defects in 4-dimensional $\mathbb {Z}_2$ pure lattice gauge theory
- Higher Category Theory
- Defect Lines in the Ising Model and Boundary States on Orbifolds
- Higher Symmetry and Gapped Phases of Gauge Theories
- Invariants of piecewise-linear 3-manifolds
- Infinite-Dimensional Representations of 2-Groups
- Crossing with the circle in Dijkgraaf–Witten theory and applications to topological phases of matter
- Generalised twisted partition functions
- Non-invertible Gauss law and axions
- A Goldstone theorem for continuous non-invertible symmetries
- Decomposition, Condensation Defects, and Fusion
- Universal Non‐Invertible Symmetries
- Asymptotic density of states in 2d CFTs with non-invertible symmetries
- Higher gauging and non-invertible condensation defects
- Non-invertible condensation, duality, and triality defects in 3+1 dimensions
- Exploring non-invertible symmetries in free theories
- Non-invertible higher-categorical symmetries
- On anomalies and gauging of \(U(1)\) non-invertible symmetries in 4d QED
- Unifying constructions of non-invertible symmetries
- Non-invertible symmetry webs
Related Items (7)
Fusion surface models: 2+1d lattice models from fusion 2-categories ⋮ Aspects of categorical symmetries from branes: SymTFTs and generalized charges ⋮ Emergent generalized symmetries in ordered phases and applications to quantum disordering ⋮ Generalized cluster states from Hopf algebras: non-invertible symmetry and Hopf tensor network representation ⋮ Fractionalization of coset non-invertible symmetry and exotic Hall conductance ⋮ Quantum phases and transitions in spin chains with non-invertible symmetries ⋮ Non-invertible surface defects in 2+1d QFTs from half spacetime gauging
This page was built for publication: Higher categorical symmetries and gauging in two-dimensional spin systems