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We study Euclidean Romans supergravity in six dimensions with a non-trivialAbelian R-symmetry gauge field. We show that supersymmetric solutions are inone-to-one correspondence with solutions to a set of differential constraintson an SU(2) structure. As an application of our results we (i) show that thisstructure reduces at a conformal boundary to the five-dimensional rigidsupersymmetric geometry previously studied by the authors, (ii) find a generalexpression for the holographic dual of the VEV of a BPS Wilson loop, matchingan exact field theory computation, (iii) construct holographic duals tosquashed Sasaki-Einstein backgrounds, again matching to a field theorycomputation, and (iv) find new analytic solutions.

Supersymmetric solutions to Euclidean Romans supergravity