Derives the symmetry breaking long exact sequence relating defect anomalies to broken symmetry anomalies, with applications to higher Berry phases and obstructions to local defects in symmetry breaking phases.
Higher- dimensional generalizations of Berry curvature.Physical Review B, 101(23), jun 2020
6 Pith papers cite this work. Polarity classification is still indexing.
6
Pith papers citing it
citation-role summary
background 3
citation-polarity summary
roles
background 3representative citing papers
Parameterized families of toric code Hamiltonians realize em-duality pumping and higher-order anyon pumping, diagnosed by topological pumping into tensor-network bond spaces and corner modes.
Berry curvature of BPS states is random-matrix-like for supersymmetric black hole microstates but non-random and often zero for horizonless geometries, offering a chaos diagnostic in degenerate sectors.
A 2-form connection is defined in the space of open string field theory solutions, producing invariant higher holonomies and 3-form curvature potentially corresponding to the B-field.
Diabolical critical points are stable higher-codimension defects in parameter space of quantum and classical many-body systems, defined by non-trivial winding of nearby equilibrium states.
Broken higher-group and non-invertible symmetries still act on the space of couplings, and their 'family anomalies' force the infrared theory to be gapless, spontaneously broken, or interrupted by a phase transition.
citing papers explorer
-
A Long Exact Sequence in Symmetry Breaking: order parameter constraints, defect anomaly-matching, and higher Berry phases
Derives the symmetry breaking long exact sequence relating defect anomalies to broken symmetry anomalies, with applications to higher Berry phases and obstructions to local defects in symmetry breaking phases.
-
Parameterized Families of Toric Code Phase: $em$-duality family and higher-order anyon pumping
Parameterized families of toric code Hamiltonians realize em-duality pumping and higher-order anyon pumping, diagnosed by topological pumping into tensor-network bond spaces and corner modes.
-
Chaos of Berry curvature for BPS microstates
Berry curvature of BPS states is random-matrix-like for supersymmetric black hole microstates but non-random and often zero for horizonless geometries, offering a chaos diagnostic in degenerate sectors.
-
Higher Connection in Open String Field Theory
A 2-form connection is defined in the space of open string field theory solutions, producing invariant higher holonomies and 3-form curvature potentially corresponding to the B-field.
-
In search of diabolical critical points
Diabolical critical points are stable higher-codimension defects in parameter space of quantum and classical many-body systems, defined by non-trivial winding of nearby equilibrium states.
-
Generalized Families of QFTs
Broken higher-group and non-invertible symmetries still act on the space of couplings, and their 'family anomalies' force the infrared theory to be gapless, spontaneously broken, or interrupted by a phase transition.