Categorical symmetry and noninvertible anomaly in symmetry-breaking and topological phase transitions
Wenjie Ji, Xiao-Gang Wen
Abstract
The authors show that one of the strongly correlated gapless states at the critical point of Landau symmetry breaking transition has an unbroken dual algebraic (n-1)-symmetry G^(n-1) in n-dimensional space, in addition to the usual unbroken symmetry G.
Topics & Concepts
Gapless playbackPhase transitionSymmetry (geometry)Anomaly (physics)PhysicsMathematicsCategorical variableTheoretical physicsSymmetry breakingAlgebraic numberCritical point (mathematics)Symmetry groupPoint (geometry)Global symmetryDual (grammatical number)Critical phenomenaPhase (matter)Topology (electrical circuits)Limit (mathematics)Duality (order theory)Ideal (ethics)Spontaneous symmetry breakingFixed pointQuantum mechanicsGroup (periodic table)Topological orderTransition (genetics)AsymmetryClass (philosophy)Mathematical physicsField (mathematics)Transition pointGroup theorySpectrum (functional analysis)Pure mathematicsField theory (psychology)Realization (probability)Topological Materials and PhenomenaBlack Holes and Theoretical PhysicsStatistical Mechanics and Entropy