What is the Dual Ginzburg–Landau Theory for Holographic Superconductors?

Abstract Holographic superconductors are holographic duals of superconductors. Macroscopically, a superconductor should be described by the Ginzburg–Landau (GL) theory. There is ample evidence that holographic superconductors are described by the standard GL theory, but the exact form of the dual GL theory is little known. We identify the dual GL theory for a class of bulk 5D holographic superconductors, where numerical coefficients are obtained exactly.