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We present a holographic model of QCD with a first order chiral restorationphase transition with chemical potential, mu. The first order behaviour followsfrom allowing a discontinuity in the dual description as the quarks areintegrated out below their constituent mass. The model predicts a deconfinedyet massive quark phase at intermediate densities (350 MeV< mu <500 MeV), abovethe nuclear density phase, which has a very stiff equation of state and a speedof sound close to one. We also include a holographic description of a coloursuperconducting condensate in the chirally restored vacuum and study theresulting equation of state. They provides a well behaved first ordertransition from the deconfined massive quark phase at very high density (mu>500MeV). We solve the Tolman-Oppenheimer-Volkoff equations with the resultingequations of state and find stable hybrid stars with quark cores. We computethe tidal deformability for these hybrid stars and show they are consistentwith LIGO/Virgo data on a neutron star collision. Our holographic model showsthat quark matter could be present at the core of such compact stars.

Holographic quark matter with colour superconductivity and a stiff equation of state for compact stars