Color superconductivity in general dimension via holography

We generalize the concept of holography for the color superconductivity (CSC) phase by considering a $d$-dimensional Anti de Sitter (AdS) space instead of the traditional 6 dimensions. The corresponding dual field theory is an arbitrary confining gauge theory with $SU(N_c)$ symmetry, like quantum chromodynamics (QCD) CSC. We then use a holographic model based on Einstein-Maxwell gravity in $d$-dimensional AdS spacetime to study this phenomenon in both confinement and deconfinement phase, and we focus to study the confinement-deconfinement phase transition and the condition for the $N_c=2$ CSC phase with the special case $d=4$.