Supersymmetric solutions to Euclidean Romans supergravity

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.

31 pages; v2: published version (with reference added)

References in corpus (8)

• Supersymmetric Gauge Theories on the Five-Sphere
• Supersymmetric gauge theories on squashed five-spheres and their gravity duals
• The gravity dual of supersymmetric gauge theories on a squashed five-sphere
• Gluing Nekrasov partition functions
• 5d Higgs Branch Localization, Seiberg-Witten Equations and Contact Geometry
• Supersymmetric backgrounds from 5d N=1 supergravity
• Supersymmetric gauge theories on five-manifolds
• Rigid Supersymmetry from Conformal Supergravity in Five Dimensions

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• Wilson loops in 5d long quiver gauge theories
• AdS${}_7$ Black-Hole Entropy and 5D $\mathcal{N}=2$ Yang-Mills
• Holographic line defects in F(4) gauged supergravity
• Topological AdS/CFT
• Supersymmetric Yang-Mills theory on conformal supergravity backgrounds in ten dimensions