The dual Ginzburg-Landau theory for a holographic superfluid/superconductor: Critical dynamics

TL;DR

This paper derives a dual Ginzburg-Landau description for holographic superfluids and superconductors, specifically identifying the model F critical dynamics and calculating exact numerical coefficients within a 5D holographic framework.

Contribution

It introduces a dual Ginzburg-Landau theory for holographic superfluids/superconductors and explicitly derives the equations and coefficients for model F critical dynamics.

Findings

Identified the dual model F equations with exact coefficients

Established the boundary Maxwell field as dynamical in the holographic setup

Connected holographic superconductor dynamics to universality class F

Abstract

Holographic superfluids/superconductors are one of the most studied systems in the AdS/CFT duality. In the low-energy, in the long-wavelength limit, they should be described by a Ginzburg-Landau theory. For critical dynamics, one expects that they belong to "model F" universality class. We consider a bulk 5-dimensional holographic superfluid/superconductor in the probe limit. For the holographic superconductor, we impose the boundary Maxwell equation to make the boundary Maxwell field dynamical. We identify the dual model F equations where numerical coefficients are obtained exactly.