Real-time gravitational replicas: Formalism and a variational principle
Skip to main content
Open Access Publications from the University of California

Real-time gravitational replicas: Formalism and a variational principle

  • Author(s): Colin-Ellerin, Sean
  • Dong, Xi
  • Marolf, Donald
  • Rangamani, Mukund
  • Wang, Zhencheng
  • et al.

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.

Many UC-authored scholarly publications are freely available on this site because of the UC's open access policies. Let us know how this access is important for you.

Main Content
Current View