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A Charged Membrane Paradigm at Large D

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arxiv 1511.03432 v2 pith:NWIWL46B submitted 2015-11-11 hep-th

A Charged Membrane Paradigm at Large D

classification hep-th
keywords membranedynamicsequationslargeablealgebraassumesblack
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study the effective dynamics of black hole horizons in Einstein-Maxwell theory in a large number of spacetime dimensions $D$. We demonstrate that horizon dynamics may be recast as a well posed initial value problem for the motion of a codimension one non gravitational membrane moving in flat space. The dynamical degrees of freedom of this membrane are its shape, charge density and a divergence free velocity field. We determine the equations that govern membrane dynamics at leading order in the large $D$ expansion. Our derivation of the membrane equations assumes that the solution preserves an SO$(D-p-2)$ isometry with $p$ held fixed as $D$ is taken to infinity. However we are able to cast our final membrane equations into a completely geometric form that makes no reference to this symmetry algebra.

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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. Black Hole Ringdown Nonlinearities in the Large-D Limit

    gr-qc 2026-06 unverdicted novelty 6.0

    In the large-D limit, analytic third-order nonlinear corrections to quasinormal modes improve ringdown modeling accuracy by several orders of magnitude for head-on black hole collisions.

  2. A fluid dual to charged large D membrane paradigm

    hep-th 2026-05 unverdicted novelty 6.0

    The leading-order dynamics of charged large D membranes dual to asymptotically flat black holes correspond to a relativistic charged fluid localized on the membrane, with transport coefficients extracted in Eckart and...