# Shape Dependence of Holographic Rényi Entropy in Conformal Field Theories.

@article{Dong2016ShapeDO, title={Shape Dependence of Holographic R{\'e}nyi Entropy in Conformal Field Theories.}, author={Xi Dong}, journal={Physical review letters}, year={2016}, volume={116 25}, pages={ 251602 } }

We develop a framework for studying the well-known universal term in the Rényi entropy for an arbitrary entangling region in four-dimensional conformal field theories that are holographically dual to gravitational theories. The shape dependence of the Rényi 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…

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