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Anomalous hydrodynamics effective actions from holography

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arxiv 2306.01055 v2 pith:AUGHA4PZ submitted 2023-06-01 hep-th cond-mat.stat-mechgr-qc

Anomalous hydrodynamics effective actions from holography

classification hep-th cond-mat.stat-mechgr-qc
keywords effectiveactionanomalousanomalychargecurrentdiffusiondynamics
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We derive an effective action for charged plasmas with an anomalous (abelian) global current charge current using holography. The holographic description is captured by the dynamics of an Einstein-Maxwell-Chern-Simons theory in an asymptotically AdS spacetime. The 't Hooft anomaly contribution, which is encoded in the Chern-Simons term, contributes at the Gaussian order in the effective action only in the momentum diffusion sector, where it leads to chiral shear waves. However, as we demonstrate, beyond the Gaussian order, there is a non-trivial imprint of the parity-violating anomaly term in sound and charge diffusion dynamics as well.

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Cited by 2 Pith papers

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

  1. Dissipative hydrodynamic actions and horizon symmetries in gravity

    hep-th 2026-07 unverdicted novelty 6.0

    A new prescription computes the dissipative action for holographic hydrodynamics in AdS4 to first order in derivatives and reproduces known Green's functions via horizon diffeomorphisms.

  2. Loops Outside a Black Hole

    hep-th 2025-09 conditional novelty 6.0

    Conjecture reducing bulk loop discontinuity integrals in black hole Schwinger-Keldysh geometry to exterior real-time finite-temperature loop integrals, checked at one to three loops for low-point functions.