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abstract

We use the AdS/CFT correspondence to compute the conductivity of massive N=2 hypermultiplet fields at finite baryon number density in an N=4 SU(N_c) super-Yang-Mills theory plasma in the large N_c, large 't Hooft coupling limit. The finite baryon density provides charge carriers analogous to electrons in a metal. An external electric field then induces a finite current which we determine directly. Our result for the conductivity is good for all values of the mass, external field and density, modulo statements about the yet-incomplete phase diagram. In the appropriate limits it agrees with known results obtained from analyzing small fluctuations around equilibrium. For large mass, where we expect a good quasi-particle description, we compute the drag force on the charge carriers and find that the answer is unchanged from the zero density case. Our method easily generalizes to a wide class of systems of probe branes in various backgrounds.

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hep-th 5

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2026 3 2025 2

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representative citing papers

Linear response beyond hydrodynamic poles

hep-th · 2025-12-22 · unverdicted · novelty 7.0

Constructs a derivative expansion for linear response that matches multi-pole correlators while preserving hydrostaticity, then applies it to D3/D5 probe brane charge fluctuations to study quasihydrodynamic transport at large density.

Holographic D-brane constructions with dynamical gauge fields

hep-th · 2025-06-11 · unverdicted · novelty 6.0

Equips bottom-up holographic D-brane models with dynamical boundary gauge fields and shows that quasinormal mode dispersion relations in equilibrium and nonequilibrium states match hydrodynamics with dynamical U(1) symmetry.

D-instanton Effects on the Holographic Weyl Semimetals

hep-th · 2026-04-06 · unverdicted · novelty 5.0

D-instantons induce a gapped topological insulator phase in holographic Weyl semimetals via phase diagrams from D7 brane free energy and non-linear conductivity calculations.

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