SciPost Phys. Proc. 4, 002 (2021) ·
published 13 August 2021
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We review the results of refs. [1, 2], in which the entanglement entropy in spaces with
horizons, such as Rindler or de Sitter space, is computed using holography. This is
achieved through an appropriate slicing of anti-de Sitter space and the implementation
of a UV cutoff. When the entangling surface coincides with the horizon of the boundary
metric, the entanglement entropy can be identified with the standard gravitational
entropy of the space. For this to hold, the effective Newton’s constant must be defined
appropriately by absorbing the UV cutoff. Conversely, the UV cutoff can be expressed
in terms of the effective Planck mass and the number of degrees of freedom of the dual
theory. For de Sitter space, the entropy is equal to the Wald entropy for an effective
action that includes the higher-curvature terms associated with the conformal anomaly.
The entanglement entropy takes the expected form of the de Sitter entropy, including
logarithmic corrections.
