Jul 18 – 23, 2022
University of Vienna
Europe/Vienna timezone

Shape Deformations of Charged Rényi Entropies from Holography

Not scheduled
Audimax (University of Vienna)


University of Vienna

Universitätsring 1, 1010 Vienna, Austria


Stefano Baiguera (Ben-Gurion University of the Negev)


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.

Primary author

Stefano Baiguera (Ben-Gurion University of the Negev)


Lorenzo Bianchi (Queen Mary, University of London) Shira Chapman (Ben-Gurion University of the Negev) Damián Galante (King's College London)

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