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An Observable in Classical Pure AdS3 Gravity: the Twist along a Geodesic

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arxiv 2312.10751 v2 pith:NNCMC5EV submitted 2023-12-17 hep-th

classification hep-th
keywords twistgeodesicalongads3candidatecenterclassicalelement
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In this paper, we consider a little-studied observable in classical pure AdS3 gravity: the twist along a geodesic. The motivation is that the twist only supports on the geodesic so may be a candidate element in the center of the algebra in either entanglement wedge associated to the geodesic. We study the properties of the twist and get the following results. First, we get the system's evolution generated by the twist, which exhibits a relative shift along the geodesic. Second, we show that the twist commutes with the length of the same geodesic, which supports the proposal that the twist is a candidate element in the center.

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  1. Timelike and gravitational anomalous entanglement from the inner horizon

    hep-th 2024-12 conditional novelty 7.0 of 10

    The inner horizon of Rindler AdS3 maps to the inner RT surface, which encodes timelike entanglement entropy and gravitational anomaly corrections to holographic entanglement.

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