4.4 Article

Shape deformations of charged Renyi entropies from holography

期刊

JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 6, 页码 -

出版社

SPRINGER
DOI: 10.1007/JHEP06(2022)068

关键词

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

资金

  1. Israel Science Foundation [1417/21]
  2. German Research Foundation
  3. Kreitmann School of Advanced Graduate Studies
  4. Azrieli Foundation
  5. Carole and Marcus Weinstein through the BGU Presidential Faculty Recruitment Fund
  6. MIUR program for young researchers Rita Levi Montalcini
  7. Royal Society under the grant The Resonances of a de Sitter Universe
  8. ERC Consolidator Grant [681908]
  9. UKRI Stephen Hawking Fellowship

向作者/读者索取更多资源

The study explores the dependence of charged Renyi entropies on small shape deformations using holography, extracting coefficients and deriving numerical solutions and analytic expressions based on the relationship between chemical potential and replica number. It also demonstrates the conjectured relation between the two point function of the displacement operator and the conformal weight of the twist operator when the Renyi defect becomes supersymmetric.
Charged and symmetry-resolved Renyi 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 Renyi 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 Renyi 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 Renyi 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.

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