  We reconsider the perturbative stability of Euclidean axion wormholes. The
quadratic action that governs linear perturbations is derived directly in
Euclidean gravity. We demonstrate explicitly that a stability analysis in which
one treats the axion as a normal two-form gauge field is equivalent to one
performed in the Hodge-dual formulation, where one considers the axion as a
scalar with a wrong-sign kinetic term. Both analyses indicate that axion
wormholes are perturbatively stable, even in the presence of a massless
dilaton, or saxion, field that couples to the axion.
