Topological AdS/CFT and the $\Omega$ deformation

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.

arXiv comment15 pages; v2: references added, version accepted for publication

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Cited by in corpus (5)

• A slow review of the AGT correspondence
• Twisted holography of defect fusions
• Non-integrability of the $\Omega$-deformation
• Comments on chiral algebras and $\Omega$-deformations
• Boundary Conditions in Topological AdS${}_4$/CFT${}_3$