A Goldstone theorem for continuous non-invertible symmetries
Iñaki García‐Etxebarria, Nabil Iqbal
Abstract
A bstract We study systems with an Adler-Bell-Jackiw anomaly in terms of non-invertible symmetry. We present a new kind of non-invertible charge defect where a key role is played by a local current operator localized on the defect. The charge defects are now labeled by elements of a continuous (1). We use this construction to prove an analogue of Goldstone’s theorem for such non-invertible symmetries. We comment on possible applications to string theory.
Topics & Concepts
PhysicsInvertible matrixHomogeneous spaceGoldstone bosonSymmetry (geometry)Mathematical physicsOperator (biology)GoldstoneString (physics)Charge (physics)Anomaly (physics)Theoretical physicsPure mathematicsQuantum mechanicsSymmetry breakingMathematicsGeneBiochemistryGeodesyGeometryChemistryRepressorTranscription factorGeographyBlack Holes and Theoretical PhysicsQuantum many-body systemsQuantum Chromodynamics and Particle Interactions