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Ahn, Yong jun; Baggioli, Matteo; Huh, Kyoung-Bum; Jeong, Hyun-Sik; Kim, Keun-Young; Sun, Ya-Wen

Holography and magnetohydrodynamics with dynamical gauge fields. (English) Zbl 1541.81148

J. High Energy Phys. 2023, No. 2, Paper No. 12, 53 p. (2023).
Summary: Within the framework of holography, the Einstein-Maxwell action with Dirichlet boundary conditions corresponds to a dual conformal field theory in presence of an external gauge field. Nevertheless, in many real-world applications, e.g., magnetohydrodynamics, plasma physics, superconductors, etc. dynamical gauge fields and Coulomb interactions are fundamental. In this work, we consider bottom-up holographic models at finite magnetic field and (free) charge density in presence of dynamical boundary gauge fields which are introduced using mixed boundary conditions. We numerically study the spectrum of the lowest quasi-normal modes and successfully compare the obtained results to magnetohydrodynamics theory in \(2 + 1\) dimensions. Surprisingly, as far as the electromagnetic coupling is small enough, we find perfect agreement even in the large magnetic field limit. Our results prove that a holographic description of magnetohydrodynamics does not necessarily need higher-form bulk fields but can be consistently derived using mixed boundary conditions for standard gauge fields.

Cited in 9 Documents

MSC:

81T40 Two-dimensional field theories, conformal field theories, etc. in quantum mechanics
81T35 Correspondence, duality, holography (AdS/CFT, gauge/gravity, etc.)
83E05 Geometrodynamics and the holographic principle
76W05 Magnetohydrodynamics and electrohydrodynamics

Keywords:

holography and condensed matter physics (AdS/CMT); holography and hydrodynamics; field theory hydrodynamics
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References:

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