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2-group global symmetries, hydrodynamics and holography

Iqbal, Nabil; Poovuttikul, Nick


Nick Poovuttikul


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.


Iqbal, N., & Poovuttikul, N. (2023). 2-group global symmetries, hydrodynamics and holography. SciPost Physics, 15(2), Article 063.

Journal Article Type Article
Acceptance Date May 30, 2023
Online Publication Date Aug 16, 2023
Publication Date 2023-08
Deposit Date Aug 18, 2023
Publicly Available Date Aug 18, 2023
Journal SciPost Physics
Print ISSN 2542-4653
Publisher SciPost
Peer Reviewed Peer Reviewed
Volume 15
Issue 2
Article Number 063
Public URL


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