Real-time gravitational replicas: low dimensional examples

May 14, 2021
56 pages
Published in:
  • JHEP 08 (2021) 171
  • Published: Aug 31, 2021
e-Print:

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Abstract: (Springer)
We continue the study of real-time replica wormholes initiated in [1]. Previously, we had discussed the general principles and had outlined a variational principle for obtaining stationary points of the real-time gravitational path integral. In the current work we present several explicit examples in low-dimensional gravitational theories where the dynamics is amenable to analytic computation. We demonstrate the computation of Rényi entropies in the cases of JT gravity and for holographic two-dimensional CFTs (using the dual gravitational dynamics). In particular, we explain how to obtain the large central charge result for subregions comprising of disjoint intervals directly from the real-time path integral.
Note:
  • 53 pages, 11 figures. v2: clarifications for JT example, fixed typos
  • AdS-CFT Correspondence
  • Gauge-gravity correspondence
  • gravitation: path integral
  • gravitation: duality
  • dimension: 2
  • field theory: conformal
  • entropy
  • wormhole
  • variational
  • holography