Abstract
A holographic duality was recently established between an mathcal{N} = 4 non-geometric AdS4 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 AdS4 solutions. And, secondly, by computing the mathcal{N} = 2 super-multiplet 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.
Highlights
A holographic duality was recently established between an N = 4 nongeometric AdS4 solution of type IIB supergravity in the so-called S-fold class, and a threedimensional conformal field theory (CFT) defined as a limit of N = 4 super-Yang-Mills at an interface
This conformal manifold (CM) is dual to a certain two-parameter family of N = 2 AdS4 solutions of type IIB supergravity
These type IIB duals are only known as AdS vacua of D = 4 N = 8 supergravity with [SO(6) × SO(1, 1)] R12 gauging — by the consistency of the IIB truncation to the above D = 4 N = 8 gauging [16], all such vacua are guaranteed to uplift to ten-dimensional solutions
Summary
We are interested in the N = 2 CM of the three-dimensional N = 4 CFT at large-N described in [17] This CM is dual to a certain two-parameter family of N = 2 AdS4 solutions of type IIB supergravity. Our parameters are related to those in [28] as χhere = χthere and e−2φhere = 12 (1 + φ2there) This local family of AdS vacua parameterised by (φ, χ) was proposed in [28] as the holographic CM of the N = 4 CFT of [17] at large N. When restricted to this twodimensional surface, the N = 8 non-linear sigma model on E7(7)/SU(8) gives rise to the leading contribution to the Zamolodchikov metric on the CM [28]. See figure 1 for a visual summary of the CM
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