A precision test of averaging in AdS/CFT

Understand

We reconsider the role of wormholes in the AdS/CFT correspondence.

• We focus on Euclidean wormholes that connect two asymptotically AdS or hyperbolic regions with $\mathbb{S}^1\times \mathbb{S}^{d-1}$ boundary.
• There is no solution to Einstein's equations of this sort, as the wormholes possess a modulus that runs to infinity.
• To find on-shell wormholes we must stabilize this modulus, which we can do by fixing the total energy on the two boundaries.