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Holographic TT¯ deformation of the entanglement entropy in (A)dS3/CFT2

Jing-Cheng Chang1,2,3,*, Song He4,5,6,7,†, Yu-Xiao Liu1,2,3,‡, and Long Zhao6,§

  • *Contact author: 120220908561@lzu.edu.cn
  • †Contact author: hesong@nbu.edu.cn
  • ‡Contact author: liuyx@lzu.edu.cn
  • §Contact author: zhaolong@jlu.edu.cn
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Phys. Rev. D 112, 026013 – Published 8 July, 2025

DOI: https://doi.org/10.1103/21wr-76pq

Abstract

In recent years, the holographic duality between TT¯-deformed conformal field theory (CFT) and Anti-de Sitter (AdS) spacetime with finite radial cutoff has received significant attention. The study of TT¯ deformation within the framework of de Sitter (dS)/CFT duality has also progressed. This paper shows that the trace flow equation in dS spacetime can be analytically extended from its AdS counterpart through double Wick rotations. Meanwhile, we generalize the replica method in both AdS and dS holography to derive a general expression for the entanglement entropy of arbitrary single spatial intervals within the TT¯-deformed framework. For both finite size and finite temperature systems, we obtain the analytical expression for the entanglement entropy after TT¯ deformation. Finally, in dS/dS holography and half-dS holography, we find that the dual field theory exhibits nonlocality by analyzing the strong subadditivity and boosted strong subadditivity of entanglement entropy.

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Phys. Rev. D 112, 026013– Published 8 July, 2025
  • Received 12 November 2024
  • Accepted 4 June 2025
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