# Lessons on Eternal Traversable Wormholes in AdS

## TL;DR

This paper investigates the theoretical possibility of creating eternal traversable wormholes in AdS spacetime by coupling dual CFTs, proving their non-existence under certain symmetries in higher dimensions, and exploring potential ways to circumvent these limitations.

## Contribution

The paper proves the non-existence of semiclassical, Poincaré invariant traversable wormholes in higher-dimensional AdS spaces and discusses potential constructions with less symmetry.

## Key findings

- No semiclassical Poincaré invariant wormholes in higher dimensions
- Coupling many bulk fields does not enable such wormholes
- Less symmetric wormholes might still be possible

## Abstract

We attempt to construct eternal traversable wormholes connecting two asymptotically AdS regions by introducing a static coupling between their dual CFTs. We prove that there are no semiclassical traversable wormholes with Poincar\'e invariance in the boundary directions in higher than two spacetime dimensions. We critically examine the possibility of evading our result by coupling a large number of bulk fields. Static, traversable wormholes with less symmetry may be possible, and could be constructed using the ingredients we develop here.