Color superconductivity in a holographic model

A holographic bottom-up model used in studying the superconducting system is applied to search for the color superconducting phase of supersymmetric Yang-Mills theory with quarks. We apply the probe analysis of this model to the supersymmetric Yang-Mills theory in both the confinement and the deconfinement phases. In this analysis, we find the color superconductivity in both phases when the baryon chemical potential exceeds a certain critical value. This result implies that, above the critical chemical potential, a color nonsinglet diquark operator, namely the Cooper pair, has its vacuum expectation value even in the confinement phase. In order to improve this peculiar situation, we proceed with the analysis by taking account of the full backreaction from the probe. As a result, the color superconducting phase, which is observed in the probe approximation, disappears in both the confinement and the deconfinement phases when parameters of the theory are set within their reasonable values.