The Holographic Dual of the $\Omega$-background

Abstract

We find an explicit supergravity background dual to the $\Omega$-deformation of a four-dimensional $\mathcal{N}=2$ SCFT on ${\mathbb{R}}^4$. The solution can be constructed in the five-dimensional $\mathcal{N}=4^{+}$ gauged supergravity and has a nontrivial self-dual 2-form. When uplifted to type IIB supergravity the background is a deformation of AdS${}_5\times S^5$ which preserves 16 supercharges. We also discuss generalizations of this solution corresponding to turning on a vacuum expectation value for a scalar operator in the dual SCFT.

v2: Number of supercharges corrected and other minor corrections. Published version

References in corpus (2)

• Spherical Branes
• Topological AdS/CFT

Cited by in corpus (7)

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• Holographic Surface Defects in $D=5$, $N=4$ Gauged Supergravity
• Non-integrability of the $\Omega$-deformation
• Comments on chiral algebras and $\Omega$-deformations
• Boundary Conditions in Topological AdS${}_4$/CFT${}_3$