Holographic SU(3) color superconductivity at finite baryon chemical potential

Abstract

We present a holographic model of SU(3) color superconductivity (CSC) where a global color symmetry is spontaneously broken by a diquark condensate at finite baryon chemical potential. At $μ_b=0$, a systematic stability analysis over all SU(3) channels recovers the known SU(2) s+p competition. Based on that, the finite $μ_b$ further generalizes the s-wave order to an S1+iS2 structure. We find that $μ_b$ enhances the critical temperature of the S1+iS2 phase while suppressing the p-wave -- the latter vanishes beyond a certain $μ_b$ when backreaction is included. This opposite trend reshapes the phase diagram: with increasing $μ_b$, the balanced S+ phase (S1=S2) takes over the entire color-superconducting region. Our non-Abelian framework provides a concrete holographic description of global SU(3) symmetry breaking, relevant for understanding color-superconducting phases in dense QCD and may offer new insights into the physics of neutron-star interiors.