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A bstractWe consider classical Euclidean gravity solutions with a boundary. The boundary contains a non-contractible circle. These solutions can be interpreted as computing the trace of a density… (More)

A bstractWe consider entanglement entropy in quantum field theories with a gravity dual. In the gravity description, the leading order contribution comes from the area of a minimal surface, as… (More)

A bstractWe consider the gravity dual of the modular Hamiltonian associated to a general subregion of a boundary theory. We use it to argue that the relative entropy of nearby states is given by the… (More)

A bstractWe consider a spherical region with a heavy quark in the middle. We compute the extra entanglement entropy due to the presence of a heavy quark both in $ \mathcal{N} $ = 4 Super Yang Mills… (More)

A bstractIn this work (which supersedes our previous preprint [1]) we determine the expectation value of the $ \mathcal{N} = 4 $ SU(N) SYM Lagrangian density operator in the presence of an infinitely… (More)

A bstractWe study the reconstruction of bulk operators in the entanglement wedge in terms of low energy operators localized in the respective boundary region. To leading order in N, the dual boundary… (More)

A bstractWe derive several new results for Rényi entropy, Sn, across generic entangling surfaces. We establish a perturbative expansion of the Rényi entropy, valid in generic quantum field theories,… (More)

A bstractWe provide a gravitational argument in favour of the covariant holographic entanglement entropy proposal. In general time-dependent states, the proposal asserts that the entanglement entropy… (More)

- Xi Dong, Aitor Lewkowycz
- 2018

A bstractWe study the Euclidean gravitational path integral computing the Rényi entropy and analyze its behavior under small variations. We argue that, in Einstein gravity, the extremality condition… (More)

A bstractWe identify various universal contributions to the entanglement entropy for massive free fields. As well as the ‘area’ terms found in [1], we find other geometric contributions of the form… (More)