SciPost Physics

SciPost Phys. 15, 063 (2023) · published 16 August 2023

• doi: 10.21468/SciPostPhys.15.2.063
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Abstract

2-group global symmetries are a particular example of how higher-form and conventional global symmetries can fuse together into a larger structure. We construct a theory of hydrodynamics describing the finite-temperature realization of a 2-group global symmetry composed out of $U(1)$ zero-form and $U(1)$ one-form symmetries. We study aspects of the thermodynamics from a Euclidean partition function and derive constitutive relations for ideal hydrodynamics from various points of view. Novel features of the resulting theory include an analogue of the chiral magnetic effect and a chiral sound mode propagating along magnetic field lines. We also discuss a minimalist holographic description of a theory dual to 2-group global symmetry and verify predictions from hydrodynamic descriptions. Along the way we clarify some aspects of symmetry breaking in higher-form theories at finite temperature.

• Lawrie et al., Intermediate defect groups, polarization pairs, and noninvertible duality defects
  Phys. Rev. D 109, 026005 (2024) [Crossref]
• Cvetič et al., Generalized symmetries, gravity, and the swampland
  Phys. Rev. D 109, 026012 (2024) [Crossref]
• Bhardwaj et al., Anomalies of generalized symmetries from solitonic defects
  SciPost Phys. 16, 087 (2024) [Crossref]
• Dierigl et al., R7-branes as charge conjugation operators
  Phys. Rev. D 109, 046004 (2024) [Crossref]
• Barkeshli et al., Higher-group symmetry in finite gauge theory and stabilizer codes
  SciPost Phys. 16, 089 (2024) [Crossref]