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arXiv · 1505.04641

Supersymmetric solutions to Euclidean Romans supergravity

Luis F. Alday·Martin Fluder·Carolina M. Gregory·Paul Richmond·James Sparks
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Abstract

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

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Luis F. Alday, Martin Fluder, Carolina M. Gregory, Paul Richmond, James Sparks. 2015-05-18. Supersymmetric solutions to Euclidean Romans supergravity. https://doi.org/10.1007/jhep02(2016)100

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