Supersymmetric wormholes in String theory

TL;DR

This paper constructs a broad class of Euclidean supersymmetric wormhole solutions in type IIB supergravity, connecting two asymptotic AdS$_5$ regions dual to deformed ${ m extbf{N}=4}$ SYM, using consistent truncations and analytic classification.

Contribution

It provides the first analytic classification of supersymmetric Euclidean wormholes in type IIB supergravity with explicit dual field theory interpretations.

Findings

Constructed a large family of supersymmetric wormholes.

Classified all supersymmetric domain wall solutions analytically.

Connected asymptotic AdS$_5$ regions dual to deformed ${ m extbf{N}=4}$ SYM.

Abstract

We construct a large family of Euclidean supersymmetric wormhole solutions of type IIB supergravity which are asymptotically AdS$_5 \times S^5$. The solutions are constructed using consistent truncation to maximally gauged supergravity in five dimensions which is further truncated to a four scalar model. Within this model we perform a full analytic classification of supersymmetric domain wall solutions with flat Euclidean domain wall slices. On each side of the wormhole, the solution asymptotes to AdS$_5$ dual to ${\cal N}= 4$ supersymmetric Yang-Mills deformed by a supersymmetric mass term.