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 : \epsilon = 2.629 { \cal A } ^ { -0.192 } p ^ { 1.192 } +0.131 { \cal A } ^ { 0.544 } p ^ { 0.456 } with \cal A a tunable parameter of order 10 ^ { -1 } , where \epsilon 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 \cal 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 .