Conductivity of strongly coupled striped superconductor

We study the conductivity of a strongly coupled striped superconductor using gauge/gravity duality (holography). The study is done analytically, in the large modulation regime. We show that at low temperatures, the optical conductivity is inhomogeneous and anisotropic, but with the anisotropy vanishing when the scaling dimension of the superconducting order parameter is unity. Near but below the critical temperature, we calculate the conductivity analytically at small frequency ω and find it to be both inhomogeneous and anisotropic. The anisotropy is imaginary and scales like 1/ω. We also calculate analytically the speed of the second sound and the thermodynamic susceptibility