Counting Nambu-Goldstone Modes of Higher-Form Global Symmetries
Yoshimasa Hidaka, Yuji Hirono, Ryo Yokokura
Abstract
We discuss the counting of Nambu-Goldstone (NG) modes associated with the spontaneous breaking of higher-form global symmetries. Effective field theories of NG modes are developed based on symmetry-breaking patterns, using a generalized coset construction for higher-form symmetries. We derive a formula of the number of gapless NG modes, which involves expectation values of the commutators of conserved charges, possibly of different degrees.
Topics & Concepts
PhysicsHomogeneous spaceGapless playbackGoldstone bosonGoldstoneSymmetry breakingCosetSpontaneous symmetry breakingSymmetry (geometry)Chiral symmetry breakingTheoretical physicsMathematical physicsGlobal symmetryQuantum mechanicsQuantum electrodynamicsMathematicsCondensed matter physicsCombinatoricsGeometryGeographyGeodesyNonlinear Waves and SolitonsNonlinear Photonic SystemsBlack Holes and Theoretical Physics