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A Cardy formula for off-diagonal three-point coefficients; or, how the geometry behind the horizon gets disentangled

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arxiv 1804.08899 v2 pith:U2SCBZR3 submitted 2018-04-24 hep-th

classification hep-th
keywords entanglementfunctiongeometrywightmanbehindblackcopiesdouble
verification ladder T0 review T1 audit T2 compute T3 formal

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In the AdS/CFT correspondence eternal black holes can be viewed as a specific entanglement between two copies of the CFT: the thermofield double. The statistical CFT Wightman function can be computed from a geodesic between the two boundaries of the Kruskal extended black hole and therefore probes the geometry behind the horizon. We construct a kernel for the AdS3/CFT2 Wightman function that is independent of the entanglement. This kernel equals the average off-diagonal matrix element squared of a primary operator. This allows us to compute the Wightman function for an arbitrary entanglement between the double copies and probe the emergent geometry between a left- and right-CFT that are not thermally entangled.

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Cited by 2 Pith papers

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    For any twist interval at or above (c-1)/12, the large-spin operator density matches the vacuum-block prediction with relative error vanishing faster than any power, using a twist window that may shrink as J^{-1/4+epsilon}.

  2. Modern Approach to 2D Conformal Field Theory

    hep-th 2024-12 unverdicted novelty 1.0 of 10

    A review-style lecture note collection presenting modern bootstrap methods for irrational 2D CFTs, with no new research results.

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