The spectrum of marginally-deformed $\mathcal{N}=2$ CFTs with AdS${}_4$ S-fold duals of type IIB

Abstract

A holographic duality was recently established between an $\mathcal{N}=4$ non-geometric AdS${}_4$ solution of type IIB supergravity in the so-called S-fold class, and a three-dimensional conformal field theory (CFT) defined as a limit of $\mathcal{N}=4$ super-Yang-Mills at an interface. Using gauged supergravity, the $\mathcal{N}=2$ conformal manifold (CM) of this CFT has been assessed to be two-dimensional. Here, we holographically characterise the large-$N$ operator spectrum of the marginally-deformed CFT. We do this by, firstly, providing the algebraic structure of the complete Kaluza-Klein (KK) spectrum on the associated two-parameter family of AdS${}_4$ solutions. And, secondly, by computing the $\mathcal{N}=2$ supermultiplet dimensions at the first few KK levels on a lattice in the CM, using new exceptional field theory techniques. Our KK analysis also allows us to establish that, at least at large $N$, this $\mathcal{N}=2$ CM is topologically a non-compact cylindrical Riemann surface bounded on only one side.

v3: minor typos corrected. Version to be published in JHEP

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• New Supersymmetric String Theories from Discrete Theta Angles
• Kaluza-Klein Spectrometry beyond Consistent Truncations: The Squashed $S^7$
• New N=1 AdS${}_4$ solutions of type IIB supergravity
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• Holographic 3d $\mathcal{N}=1$ Conformal Manifolds
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• The CFT Distance Conjecture and Tensionless String Limits in $\mathcal{N}=2$ Quiver Gauge Theories
• $\mathcal{N}=2$ ${\text{CFT}}_3\text{’s}$ from $\mathcal{N}=4$ gauged supergravity
• $\mathcal{N}=1$ S-fold spectroscopy