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Magnetohydrodynamics as superfluidity

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arxiv 1808.01939 v2 pith:2LZF4K55 submitted 2018-08-06 hep-th astro-ph.HEcond-mat.str-elgr-qc

classification hep-thastro-ph.HEcond-mat.str-elgr-qc
keywords magnetohydrodynamicspotentialscalarsuperfluiditytheoryappropriatebreakingconditions
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We show that relativistic magnetohydrodynamics (MHD) can be recast as a novel theory of superfluidity. This new theory formulates MHD just in terms of conservation equations, including dissipative effects, by introducing appropriate variables such as a magnetic scalar potential, and providing necessary and sufficient conditions to obtain equilibrium configurations. We show that this scalar potential can be interpreted as a Goldstone mode originating from the spontaneous breaking of a one-form symmetry, and present the most generic constitutive relations at one derivative order for a parity-preserving plasma in this new superfluid formulation.

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Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Causality constraints and anisotropic states

    hep-th 2025-12 conditional novelty 7.0 of 10

    In anisotropic relativistic fluids, branch-point dispersion relations force a continuum of complex-wavevector mode collisions, and causality bounds the convergence radius direction-by-direction in terms of transport c...

  2. Viscoelastic hydrodynamics and holography

    hep-th 2019-08 accept novelty 7.0 of 10

    A first-order relativistic hydrodynamics of anisotropic viscoelastic crystals, including new transport coefficients, a dual higher-form superfluid description, and holographic realizations.

  3. Higher-form (Quasi)Hydrodynamics from Holography: Deformations and Dualities

    hep-th 2025-09 conditional novelty 6.0 of 10

    Massless and massive higher-form gauge fields in anti-de Sitter space yield a full low-energy map of diffusive, relaxing, and emergent-photon modes governed by double-trace deformations.

  4. Superfluids as Higher-form Anomalies

    hep-th 2019-08 accept novelty 6.0 of 10

    Superfluid hydrodynamics is reformulated as the hydrodynamic theory of an anomalous higher-form symmetry, whose anomaly alone guarantees the Goldstone boson.

  5. Approximate higher-form symmetries and dualities of massive p-forms in the holographic bulk

    hep-th 2026-05 unverdicted novelty 5.0 of 10

    Develops a holographic realization of approximate higher-form symmetries via massive antisymmetric tensor fields and derives dualities between boundary theories from bulk Hodge dualities, including constraints on curr...

  6. Finite-volume scheme for first-order viscoresistive relativistic magnetohydrodynamics

    astro-ph.HE 2026-06 unverdicted novelty 4.0 of 10

    A finite-volume scheme for causal viscoresistive relativistic MHD is developed with an extra correction needed in the ultra-relativistic limit, plus a primitive recovery method validated on benchmarks and 2D simulations.

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