For finite 1-form symmetries in (2+1)D, onsiteability holds exactly when the 't Hooft anomaly meets an algebraic condition allowing 1-gauging; the symmetry can then be realized as transversal Pauli operators via ancillas and circuits.
Lieb-Schultz-Mattis, Luttinger, and ’t Hooft - anomaly matching in lattice systems
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
fields
cond-mat.str-el 2verdicts
UNVERDICTED 2representative citing papers
Demonstrates 't Hooft anomaly under Z2 gauging of O(3) NLSM for Θ = π mod 2π, implying the RP2 sigma model does not exist and relating to spin-chain crystal momenta.
citing papers explorer
-
Onsiteability of Higher-Form Symmetries
For finite 1-form symmetries in (2+1)D, onsiteability holds exactly when the 't Hooft anomaly meets an algebraic condition allowing 1-gauging; the symmetry can then be realized as transversal Pauli operators via ancillas and circuits.
-
Nonlinear sigma models, antiperiodic boundary conditions, spin chains, and 't Hooft anomalies
Demonstrates 't Hooft anomaly under Z2 gauging of O(3) NLSM for Θ = π mod 2π, implying the RP2 sigma model does not exist and relating to spin-chain crystal momenta.