Abstract

We classify super-symmetric solutions of the minimal N = 2 gauged Euclidean supergravity in four dimensions. The solutions with an anti-self-dual Maxwell field give rise to anti-self-dual Einstein metrics given in terms of solutions to the SU(∞) Toda equation and more general three-dimensional Einstein–Weyl structures. Euclidean Kastor–Traschen metrics are also characterized by the existence of a certain supercovariantly constant spinor.

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