Euclidean Wormholes in String Theory

TL;DR

This paper demonstrates the existence of axionic Euclidean wormhole solutions in six-dimensional string theory compactifications and discusses their implications for the AdS/CFT correspondence, challenging previous interpretations of wormholes.

Contribution

It introduces explicit axionic wormhole solutions in string theory compactifications and analyzes their compatibility with AdS/CFT duality, providing new insights into wormhole physics.

Findings

Wormholes can be embedded in $AdS_3 imes S^3 imes T^4$ backgrounds.

Wormholes challenge the interpretation using $eta$ parameters in the context of AdS/CFT.

The solutions suggest limitations on the use of Euclidean wormholes in holography.

Abstract

We show that toroidal compactification of type II string theory to six dimensions admits axionic euclidean wormhole solutions. These wormholes can be inserted into $AdS_3 \times S^3 \times T^4$ backgrounds, which have a well-defined CFT dual. AdS/CFT duality then suggests that the wormhole solutions cannot be interpreted using $\alpha$ parameters as originally suggested by Coleman.