Traversability of Multi-Boundary Wormholes

TL;DR

This paper extends the concept of traversable wormholes to multi-boundary cases in AdS$_3$, demonstrating how double-trace deformations enable traversal between any two regions, regardless of their temperature or angular momentum.

Contribution

It generalizes the Gao-Jafferis-Wall construction to multi-boundary wormholes, showing traversability can be achieved in more complex spacetimes with diverse boundary conditions.

Findings

Traversability can be triggered between any two boundary regions.

The hot limit makes the causal shadow exponentially small.

Traversability is independent of boundary regions' temperature and angular momentum.

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 AdS$_3$. 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.