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- W2288396751 abstract "We develop a framework for studying the well-known universal term in the R'enyi entropy for an arbitrary entangling region in four-dimensional conformal field theories that are holographically dual to gravitational theories. The shape dependence of the R'enyi entropy ${S}_{n}$ is described by two coefficients: ${f}_{b}(n)$ for traceless extrinsic curvature deformations and ${f}_{c}(n)$ for Weyl tensor deformations. We provide the first calculation of the coefficient ${f}_{b}(n)$ in interacting theories by relating it to the stress tensor one-point function in a deformed hyperboloid background. The latter is then determined by a straightforward holographic calculation. Our results show that a previous conjecture ${f}_{b}(n)={f}_{c}(n)$, motivated by surprising evidence from a variety of free field theories and studies of conical defects, fails holographically." @default.
- W2288396751 created "2016-06-24" @default.
- W2288396751 creator A5027811456 @default.
- W2288396751 date "2016-06-21" @default.
- W2288396751 modified "2023-09-27" @default.
- W2288396751 title "Shape Dependence of Holographic Rényi Entropy in Conformal Field Theories" @default.
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- W2288396751 doi "https://doi.org/10.1103/physrevlett.116.251602" @default.
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