scholarly journals Real-time gravitational replicas: low dimensional examples

2021 ◽  
Vol 2021 (8) ◽  
Author(s):  
Sean Colin-Ellerin ◽  
Xi Dong ◽  
Donald Marolf ◽  
Mukund Rangamani ◽  
Zhencheng Wang

Abstract 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.

Kanzo ◽  
1985 ◽  
Vol 26 (6) ◽  
pp. 747-752 ◽  
Author(s):  
Minoru SUKIGARA ◽  
Shinichi TAKAMOTO ◽  
Toshiro KOMAZAKI ◽  
Masayuki KOBAYASHI ◽  
Eiichi SUGIMOTO ◽  
...  

1998 ◽  
Vol 69 (4) ◽  
pp. 1665-1670 ◽  
Author(s):  
Bor-Yu Chang ◽  
Rama C. Hoetzlein ◽  
Julie A. Mueller ◽  
Joseph D. Geiser ◽  
Paul L. Houston

1995 ◽  
Vol 200 (1-2) ◽  
pp. 11-21 ◽  
Author(s):  
Heiko Plöhn ◽  
Stefan Krempl ◽  
Manfred Winterstetter ◽  
Wolfgang Domcke

2021 ◽  
Vol 2021 (9) ◽  
Author(s):  
Dionysios Anninos ◽  
Teresa Bautista ◽  
Beatrix Mühlmann

Abstract We study the Euclidean path integral of two-dimensional quantum gravity with positive cosmological constant coupled to conformal matter with large and positive central charge. The problem is considered in a semiclassical expansion about a round two-sphere saddle. We work in the Weyl gauge whereby the computation reduces to that for a (timelike) Liouville theory. We present results up to two-loops, including a discussion of contributions stemming from the gauge fixing procedure. We exhibit cancelations of ultraviolet divergences and provide a path integral computation of the central charge for timelike Liouville theory. Combining our analysis with insights from the DOZZ formula we are led to a proposal for an all orders result for the two-dimensional gravitational partition function on the two-sphere.


2021 ◽  
Vol 2021 (9) ◽  
Author(s):  
Beatrix Mühlmann

Abstract We discuss two-dimensional quantum gravity coupled to conformal matter and fixed area in a semiclassical large and negative matter central charge limit. In this setup the gravity theory — otherwise highly fluctuating — admits a round two-sphere saddle. We discuss the two-sphere partition function up to two-loop order from the path integral perspective. This amounts to studying Feynman diagrams incorporating the fixed area constraint on the round two-sphere. In particular we find that all ultraviolet divergences cancel to this order. We compare our results with the two-sphere partition function obtained from the DOZZ formula.


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