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.

中文翻译：

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德西特熵作为全息纠缠熵

我们回顾了 refs 的结果。[1, 2]，其中使用全息术计算具有视界的空间（例如 Rindler 或 de Sitter 空间）中的纠缠熵。这是通过对反德西特空间进行适当切片和实施 UV 截止来实现的。当纠缠面与边界度量的视界重合时，纠缠熵可以用空间的标准引力熵来识别。为此，必须通过吸收 UV 截止值来适当地定义有效牛顿常数。相反，UV 截止可以用有效普朗克质量和对偶理论的自由度数表示。对于德西特空间，熵等于有效动作的 Wald 熵，该动作包括与共形异常相关的较高曲率项。纠缠熵采用德西特熵的预期形式，包括对数校正。