Abstract
We generalize the concept of holography for the color superconductivity (CSC) phase by considering \(d\) -dimensional Anti de Sitter (AdS) space instead of the traditional 6 dimensions. The corresponding dual field theory is a gauge theory with \(SU\) ( \(N_{c}\) ) symmetry defined in ( \(d-1\) )-dimensions that, despite lacking a confinement phase, retains characteristics consistent with quantum chromodynamics (QCD) CSC. We then use a holographic model based on Einstein–Maxwell gravity and the standard Maxwell interaction in \(d\) -dimensional AdS space to investigate this phenomenon for the number of colors \(N_{c}\geq 2\) without confinement phase, identifying the dimensions where the model remains valid for \(N_{c}=2\) .
