Abstract

We generalize the Gao-Jafferis-Wall construction of traversable two-sided wormholes to multi-boundary wormholes. In our construction, we take the background spacetime to be multi-boundary black holes in AdS3. We work in the hot limit where the dual CFT state in certain regions locally resembles the thermofield double state. Furthermore, in these regions, the hot limit makes the causal shadow exponentially small. Based on these two features of the hot limit, and with the three-boundary wormhole as our main example, we show that traversability between any two asymptotic regions in a multi-boundary wormhole can be triggered using a double-trace deformation. In particular, the two boundary regions need not have the same temperature and angular momentum. We discuss the non-trivial angular dependence of traversability in our construction, as well as the effect of the causal shadow region.

Highlights

  • In recent years, there have been many approaches to constructing traversable wormholes from averaged null energy condition (ANEC) violations, see [4,5,6,7,8,9,10,11]

  • In these regions, the hot limit makes the causal shadow exponentially small. Based on these two features of the hot limit, and with the three-boundary wormhole as our main example, we show that traversability between any two asymptotic regions in a multiboundary wormhole can be triggered using a double-trace deformation

  • We show in the hot limit that the |∆V | induced by a fixed boundary coupling becomes larger than the gap |∆VCS| between horizons associated with the existence of the causal shadow region

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Summary

Multi-boundary black holes in AdS3

We will first review how to construct multi-boundary black holes by quotienting empty AdS3 with isometries, following an algebraic approach [20,21,22,23,24,25].2 we discuss fixed points of those isometries, (renormalized) geodesic distances in different conformal frames, and how they behave in the hot limit. We will first review how to construct multi-boundary black holes by quotienting empty AdS3 with isometries, following an algebraic approach [20,21,22,23,24,25].2. We discuss fixed points of those isometries, (renormalized) geodesic distances in different conformal frames, and how they behave in the hot limit. Those results will be useful in our construction of multi-boundary traversable wormholes. We briefly describe the CFT states that are dual to these geometries

Quotients of AdS3 space
III eI
Fixed points and the conformal boundary
Geodesic distances in the BTZ conformal frame
The hot limit of multi-boundary wormholes
Traversability in BTZ black holes
Metric perturbation
Traversability of multi-boundary wormholes in AdS3
Planar BTZ coordinates and the boundary coupling
Image sum in the hot limit
Traversing the causal shadow
Numerical results
Discussion
A An alternative construction of the three-boundary black hole
B Minimal distance between horizons in the hot limit
Full Text
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