Lieb-Schultz-Mattis, Luttinger, and 't Hooft -- anomaly matching in lattice systems
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Publication:6596411
DOI10.21468/scipostphys.15.2.051MaRDI QIDQ6596411
Publication date: 2 September 2024
Published in: SciPost Physics (Search for Journal in Brave)
Quantum field theory; related classical field theories (81Txx) Equilibrium statistical mechanics (82Bxx) Lie algebras and Lie superalgebras (17Bxx)
Related Items (18)
From the XXZ chain to the integrable Rydberg-blockade ladder via non-invertible duality defects ⋮ Non-invertible duality interfaces in field theories with exotic symmetries ⋮ Lieb-Schultz-Mattis anomalies and web of dualities induced by gauging in quantum spin chains ⋮ Solvable models for 2+1D quantum critical points: loop soups of 1+1D conformal field theories ⋮ Majorana chain and Ising model -- (non-invertible) translations, anomalies, and emanant symmetries ⋮ Lieb-Schultz-Mattis anomalies as obstructions to gauging (non-on-site) symmetries ⋮ Lattice regularization of reduced Kähler-Dirac fermions and connections to chiral fermions ⋮ Non-invertible symmetries and LSM-type constraints on a tensor product Hilbert space ⋮ Analytic continuation and supersymmetry ⋮ Particle-soliton degeneracies from spontaneously broken non-invertible symmetry ⋮ Lattice realizations of topological defects in the critical (1+1)-d three-state Potts model ⋮ Emergent generalized symmetries in ordered phases and applications to quantum disordering ⋮ Lattice Hamiltonian for adjoint \(\mathrm{QCD}_2\) ⋮ Anomalies of average symmetries: entanglement and open quantum systems ⋮ Quantum phases and transitions in spin chains with non-invertible symmetries ⋮ Realizing triality and \(p\)-ality by lattice twisted gauging in (1+1)d quantum spin systems ⋮ Canonical quantization of lattice Chern-Simons theory ⋮ Infinitely many new renormalization group flows between Virasoro minimal models from non-invertible symmetries
Cites Work
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