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Real-time gravitational replicas: Formalism and a variational principle

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arxiv 2012.00828 v4 pith:HBY4ACF3 submitted 2020-12-01 hep-th gr-qc

Sean Colin-Ellerin , Xi Dong , Donald Marolf , Mukund Rangamani , Zhencheng Wang This is my paper · ORCID
classification hep-thgr-qc
keywords real-timesaddlesconstructiongravitationalmetricsprinciplerealreplica
verification ladder T0 review T1 audit T2 compute T3 formal
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This work is the first step in a two-part investigation of real-time replica wormholes. Here we study the associated real-time gravitational path integral and construct the variational principle that will define its saddle-points. We also describe the general structure of the resulting real-time replica wormhole saddles, setting the stage for construction of explicit examples. These saddles necessarily involve complex metrics, and thus are accessed by deforming the original real contour of integration. However, the construction of these saddles need not rely on analytic continuation, and our formulation can be used even in the presence of non-analytic boundary-sources. Furthermore, at least for replica- and CPT-symmetric saddles we show that the metrics may be taken to be real in regions spacelike separated from a so-called `splitting surface'. This feature is an important hallmark of unitarity in a field theory dual.

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Cited by 4 Pith papers

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