Holographic Aspects of Four Dimensional $\mathcal{N}=2$ SCFTs and their Marginal Deformations

Abstract

We study the holographic description of $\mathcal{N}=2$ Super Conformal Field Theories in four dimensions first given by Gaiotto and Maldacena. We present new expressions that holographically calculate characteristic numbers of the CFT and associated Hanany-Witten set-ups, or more dynamical observables, like the central charge. A number of examples of varying complexity are studied and some proofs for these new expressions are presented. We repeat this treatment for the case of the marginally deformed Gaiotto-Maldacena theories, presenting an infinite family of new solutions and compute some of its observables. These new backgrounds rely on the solution of a Laplace equation and a boundary condition, encoding the kinematics of the original conformal field theory.

32 pages plus many appendixes and various figures

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Cited by in corpus (6)

• Integrability and Holographic Aspects of Six-Dimensional $\mathcal{N}=(1,0)$ Superconformal Field Theories
• New AdS${}_2$ backgrounds and $\mathcal{N}=4$ Conformal Quantum Mechanics
• Non-integrability in AdS${}_3$ vacua
• Universal Pieces of Holographic Entanglement Entropy and Holographic Subregion Complexity
• Spin $2$ spectrum for marginal deformations of 4d $\mathcal{N}=2$ SCFTs
• Infinite Linear Quivers and Continuous Rank Functions