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arXiv · 1903.05095

The Holographic Dual of the $Ω$-background

Nikolay Bobev·Fridrik Freyr Gautason·Kiril Hristov
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Abstract

We find an explicit supergravity background dual to the $Ω$-deformation of a four-dimensional $\mathcal{N}=2$ SCFT on $\mathbb{R}^4$. The solution can be constructed in the five-dimensional ${\cal N}=4^+$ 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.

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Nikolay Bobev, Fridrik Freyr Gautason, Kiril Hristov. 2019-07-31. The Holographic Dual of the $Ω$-background. https://doi.org/10.1103/physrevd.100.021901

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