TY - JOUR

T1 - Compact star of holographic nuclear matter and GW170817

AU - Zhang, Kilar

AU - Hirayama, Takayuki

AU - Luo, Ling Wei

AU - Lin, Feng Li

N1 - Funding Information:
In this work we give a first principle derivation of nuclear matter EoS based on a top-down model of holographic QCD. The resultant EoS is doubly polytropic with only one free parameter, and can yield mass, radius and tidal deformability in excellent agreement with observation of GW170817. However, our EoS cannot be consistent with GW170817 and yield the maximal mass in excess of 2 M ⊙ at the same time. This leaves the space for future studies by considering more general instanton profiles other than a delta function [32,33] , and considering twin stars [41] with hybrid EoS of holographic baryonic and quark matters. The future events of NS binaries observed in LIGO/Virgo/KAGRA should help to pin down the necessity of the above options to reach the higher maximal mass of NSs. FLL is supported by Taiwan Ministry of Science and Technology (MoST) through Grant No. 106-2112-M-003-004-MY3 . LWL is supported by Academia Sinica Career Development Award Program through Grant No. AS-CDA-105-M06 . KZ(Hong Zhang) thanks Yutaka Matsuo for useful advice and is supported by MoST through Grant No. 107-2811-M-003-511 . We thank Alessandro Parisi, Meng-Ru Wu for helpful discussions. We also thank NCTS for partial financial support.

PY - 2020/2/10

Y1 - 2020/2/10

N2 - 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=2.629A−0.192p1.192+0.131A0.544p0.456 with 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 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.

AB - 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=2.629A−0.192p1.192+0.131A0.544p0.456 with 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 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.

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U2 - 10.1016/j.physletb.2019.135176

DO - 10.1016/j.physletb.2019.135176

M3 - Article

AN - SCOPUS:85077662950

VL - 801

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

M1 - 135176

ER -