A review on the equation of state of color superconductivity via holography
Nguyen Hoang Vu
TL;DR
The paper addresses the equation of state for color superconductivity in dense QCD matter relevant to neutron-star cores, using a bottom-up holographic model built on 6D Einstein-Gauss-Bonnet gravity with a compact dimension. The CSC phase is encoded by a bulk diquark condensate $\u03bpsi$ in a deconfinement background described by a planar GB-RN-AdS black hole, with the boundary $U(1)$ charge set by the chemical potential $\u03bmu$; the EOS $p(\u03bmu)$ is extracted from the on-shell Euclidean action. A Sturm-Liouville analysis near the critical chemical potential $\u03bmu_c$ (where $\u03bpsi$ turns on) yields the pressure as a function of $\u03bmu$, revealing that the CSC phase is softer than the baryonic phase. The work lays groundwork for future Tolman–Oppenheimer–Volkoff studies to connect holographic CSC to neutron-star observables and motivates exploring $p$-wave and $d$-wave CSC channels.
Abstract
In this project, we will study a bottom$-$up holographic model for the color superconductivity (CSC) phase in the Einstein$-$Gauss$-$Bonnet (EGB) gravity. We consider the color superconductivity in the deconfinement phase which is dual to the planar GB$-$RN$-$AdS black hole in six-dimensional spacetime and we find the equation of state of the CSC phase in the inner core of the heavy compact star.