Compact Star of Holographic Nuclear Matter and GW170817

We use a holographic model of quantum chromodynamics to extract the equation of state (EoS) for the cold nuclear matter of moderate baryon density. This model is based on the Sakai-Sugimoto model in the deconfined Witten’s geometry with the additional point-like D4-brane instanton configuration as the holographic baryons. Our EoS takes the following doubly-polytropic form: $ϵ=2.629{\mathcal{A}}^{-0.192}{p}^{1.192}+0.131{\mathcal{A}}^{0.544}{p}^{0.456}$ with $\mathcal{A}$ a tunable parameter of order ${10}^{-1}$, where $ϵ$ and $p$ are the energy density and pressure, respectively. The sound speed satisfies the causality constraint and breaks the sound barrier. We solve the Tolman-Oppenheimer-Volkoff equations for the compact stars and obtain the reasonable compactness for the proper choices of $\mathcal{A}$. Based on these configurations we further calculate the tidal deformability of the single and binary stars. We find our results agree with the inferred values of LIGO/Virgo data analysis for GW170817.