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Dual gravities from entanglement entropy

Jaehyeok Huh* and Chanyong Park†

  • *Contact author: gj_wogur@gm.gist.ac.kr
  • †Contact author: cyong21@gist.ac.kr
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Phys. Rev. D 114, 086020 – Published 26 October, 2026

DOI: https://doi.org/10.1103/mb5z-xt7n

Abstract

We study how entanglement entropy can be used to reconstruct a dual gravity description. For a two-dimensional thermal system, equal-time entanglement entropy determines the spatial part of a three-dimensional black hole geometry within a given metric ansatz. For an undeformed conformal field theory, the same inverse problem can be solved analytically by the Abel transformation. For a relevant deformation, we work in three-dimensional Einstein gravity with one canonical scalar field whose profile is monotonic. The geometry reconstructed from the given entanglement entropy then allows us to determine the scalar profile and the part of the scalar potential sampled by the renormalization group flow. It also determines the holographic β- and c-functions.

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Phys. Rev. D 114, 086020– Published 26 October, 2026
  • Received 23 May 2026
  • Accepted 7 October 2026
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