Holographic entanglement entropy for black strings

  • Yuanceng Xu
  • Mengjie Wang
  • Jiliang JingEmail author
Research Article


The holographic entanglement entropy (HEE) of field theories dual to 4-dimensional black strings with both the infinity boundary and near the horizon is investigated. It is shown that, with the infinity boundary, the main contribution of the HEE is divergent and it comes from the AdS background. If we remove this contribution, the remaining part is finite and proportional to the mass and charge densities. Near the horizon, we find that the HEE equals the Bekenstein–Hawking entropy if the subsystem covers the whole conformal boundary, for both charged and uncharged cases. In particular, the minimal surface (Ryu–Takayanagi surface) always stays in the bulk region for uncharged and non-extremal charged cases, while it is immersed inside the boundary for extremal black string.


Holographic entanglement entropy Bekenstein–Hawking entropy Black string 



This work is supported by the National Natural Science Foundation of China under Grant Nos. 11875025.


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Authors and Affiliations

  1. 1.Department of Physics, Key Laboratory of Low Dimensional Quantum Structures and Quantum Control of Ministry of Education, and Synergetic Innovation Center for Quantum Effects and ApplicationsHunan Normal UniversityChangshaPeople’s Republic of China

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