Abstract
In this note, we define a holographic dual to four-dimensional superconformal field theories formulated on arbitrary Riemannian manifolds equipped with a Killing vector. Moreover, assuming smoothness of the bulk solution, we study the variation of the holographically renormalized supergravity action in the class of metrics on the boundary four-manifold with a prescribed isometry.
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Genolini, P.B., Richmond, P. Topological AdS/CFT and the Ω deformation. J. High Energ. Phys. 2019, 115 (2019). https://doi.org/10.1007/JHEP10(2019)115
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DOI: https://doi.org/10.1007/JHEP10(2019)115