# Euclidean Wormholes and Holography

## TL;DR

This paper investigates Euclidean wormholes in asymptotically AdS spaces within holography, analyzing correlation functions of local and non-local operators across boundaries, and explores their implications for dual field theories.

## Contribution

It provides new insights into the behavior of correlation functions in wormhole geometries and proposes a dual field theory with a soft non-local coupling.

## Key findings

- Correlation functions are finite at short distances across boundaries.
- Non-local operators exhibit similar finite correlation properties.
- Dual theories are expected to factorize in the UV with a soft non-local interaction.

## Abstract

Asymptotically AdS wormhole solutions are considered in the context of holography. Correlation functions of local operators on distinct boundaries are studied. It is found that such correlators are finite at short distances. Correlation functions of non-local operators (Wilson loops) on distinct boundaries are also studied, with similar conclusions. Deformations of the theory with multi-trace operators on distinct boundaries are considered and studied. As a consequence of these results, the dual theory is expected to factorize in the UV, and the two sectors to be coupled by a soft non-local interaction. A simple field theory model with such behavior is presented.