Shape deformations of charged Rényi entropies from holography

Stefano Baiguera, Lorenzo Bianchi, Shira Chapman, Damián A. Galante

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


Charged and symmetry-resolved Rényi entropies are entanglement measures quantifying the degree of entanglement within different charge sectors of a theory with a conserved global charge. We use holography to determine the dependence of charged Rényi entropies on small shape deformations away from a spherical or planar entangling surface in general dimensions. This dependence is completely characterized by a single coefficient appearing in the two point function of the displacement operator associated with the Rényi defect. We extract this coefficient using its relation to the one point function of the stress tensor in the presence of a deformed entangling surface. This is mapped to a holographic calculation in the background of a deformed charged black hole with hyperbolic horizon. We obtain numerical solutions for different values of the chemical potential and replica number n in various spacetime dimensions, as well as analytic expressions for small chemical potential near n = 1. When the Rényi defect becomes supersymmetric, we demonstrate a conjectured relation between the two point function of the displacement operator and the conformal weight of the twist operator.

Original languageEnglish
Article number68
JournalJournal of High Energy Physics
Issue number6
StatePublished - 1 Jun 2022


  • AdS-CFT Correspondence
  • Black Holes
  • Scale and Conformal Symmetries
  • Supersymmetry and Duality

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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