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  1. Pubblicazioni

Shape Deformations of Charged Rényi Entropies from Holography

Articolo
Data di Pubblicazione:
2022
Abstract:
Charged and symmetry-resolved R'enyi 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 R'enyi 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 R'enyi 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 R'enyi 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.
Tipologia CRIS:
03A-Articolo su Rivista
Keywords:
High Energy Physics - Theory; High Energy Physics - Theory; Physics - Statistical Mechanics; Physics - Strongly Correlated Electrons; Quantum Physics
Elenco autori:
Stefano Baiguera; Lorenzo Bianchi; Shira Chapman; Damián A. Galante
Autori di Ateneo:
BIANCHI Lorenzo
Link alla scheda completa:
https://iris.unito.it/handle/2318/1865991
Link al Full Text:
https://iris.unito.it/retrieve/handle/2318/1865991/1007636/Baiguera2022_Article_ShapeDeformationsOfChargedR%E9ny.pdf
Pubblicato in:
JOURNAL OF HIGH ENERGY PHYSICS
Journal
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URL

http://arxiv.org/abs/2203.15028v1
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