Determine the robustness of the wormhole results beyond the truncated theory

Determine which properties of the complex Gauss–Bonnet wormholes, their imaginary endpoint displacement, and their associated actions survive when higher-curvature operators and more general scalar couplings are included beyond the four-derivative truncated effective action.

Background

The analysis uses a four-dimensional theory containing the Einstein–Hilbert term, a massless scalar, and a linear scalar coupling to the Gauss–Bonnet invariant. The authors emphasize that the branch endpoint lies where the Gauss–Bonnet correction is no longer parametrically small, so higher-order curvature terms may become relevant.

The effect of additional higher-curvature operators and more general scalar interactions on the branch structure, KSW allowability, imaginary distance threshold, and renormalized AdS displacement is therefore explicitly left unresolved.

References

Finally, including higher curvature operators and more general scalar couplings would determine which of the present results survive beyond the four-derivative truncated effective action.

— Scalar Gauss-Bonnet Wormholes and the Imaginary Distance Bound  (2609.28456 - Kehagias et al., 23 Sep 2026) in Section 7, Conclusion