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Equivalent Equations of Motion for Gravity and Entropy

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arxiv 1608.06282 v1 pith:MWTWGHEN submitted 2016-08-22 hep-th

Bartlomiej Czech , Lampros Lamprou , Samuel McCandlish , Benjamin Mosk , James Sully This is my paper · ORCID
classification hep-th
keywords equationspacearxiventropyequivalentkinematicanti-dearises
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We demonstrate an equivalence between the wave equation obeyed by the entanglement entropy of CFT subregions and the linearized bulk Einstein equation in Anti-de Sitter pace. In doing so, we make use of the formalism of kinematic space [arXiv:1505.05515] and fields on this space, introduced in [arXiv:1604.03110]. We show that the gravitational dynamics are equivalent to a gauge invariant wave-equation on kinematic space and that this equation arises in natural correspondence to the conformal Casimir equation in the CFT.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Composite AdS geodesics for CFT correlators and timelike entanglement entropy

    hep-th 2025-11 conditional novelty 6.0 of 10

    A bulk extremization prescription produces composite timelike-spacelike geodesics whose complex length exactly matches CFT two-point functions at timelike separation, including behind the BTZ horizon.

  2. Correlation functions of von Neumann entropy

    hep-th 2025-06 conditional novelty 4.0 of 10

    Two-point correlators of modular Hamiltonians obey entropy-like properties and equal the stress-tensor conformal block for spherical regions in CFT, including imaginary-time separations.

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