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gr-qc

What universality class does a holographic superconductor belong to?

Makoto Natsuume

May 19, 2026

Using the AdS/CFT correspondence, this work derives the exact Ginzburg-Landau equations governing a 5-dimensional holographic superconductor near its phase transition, pinning down all numerical coefficients analytically. The system falls into 'model F' — the same dynamical universality class as superfluid helium-4 near the lambda point. This confirms that holographic methods reproduce the correct critical dynamics of real physical systems, with exact coefficients that would otherwise require fitting to experiments or numerical simulation.
Published as The dual Ginzburg-Landau theory for a holographic superfluid/superconductor: Critical dynamics arXiv:2605.20415
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