Supersymmetric Wormholes in String Theory

We construct a large family of Euclidean supersymmetric wormhole solutions of type IIB supergravity which are asymptotically ${\mathrm{AdS}}_5\times S^5$. 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 ${\mathrm{AdS}}_5$ dual to $\mathcal{N}=4$ supersymmetric Yang-Mills deformed by a supersymmetric mass term.

Figure 1

A plot of a wormhole solution for $a=2.6$ and $j=0.8$. The function $g^2{\mathrm{e}}^{2A}/10$ is drawn in gray, $\cosh 4\alpha$ is drawn in solid black, and $\cosh 4\phi$ in dashed black.