Holographic S-fold theories at one loop

Abstract

A common feature of tree-level holography is that a correlator in one theory can serve as a generating function for correlators in another theory with less continuous symmetry. This is the case for a family of 4d CFTs with eight supercharges which have protected operators dual to gluons in the bulk. The most recent additions to this family were defined using S-folds which combine a spatial identification with an action of the S-duality group in type IIB string theory. Differences between these CFTs which have a dynamical origin first become manifest at one loop. To explore this phenomenon at the level of anomalous dimensions, we use the AdS unitarity method to bootstrap a one-loop double discontinuity. Compared to previous studies, the subsequent analysis is performed without any assumption about which special functions are allowed. Instead, the Casimir singular and Casimir regular terms are extracted iteratively in order to move from one Regge trajectory to the next. Our results show that anomalous dimensions in the presence of an S-fold are no longer rational functions of the spin.

40+13 pages, 7 tables, PDF LaTeX, v2: New subsection, v3: Added references, v4: More discussion, v5: Corrections

References in corpus (19)

• Holography from Conformal Field Theory
• Writing CFT correlation functions as AdS scattering amplitudes
• The Lightcone Bootstrap and the Spectrum of the 3d Ising CFT
• Mellin amplitudes for $Ad{S}_5\times S^5$
• Loop Corrections to Supergravity on $Ad{S}_5\times S^5$
• A holographic computation of the central charges of d=4, N=2 SCFTs
• Gluon Scattering in AdS from CFT
• Double Copy Relation for AdS
• Bootstrapping the half-BPS line defect CFT in $\mathcal{N}=4$ SYM at strong coupling
• All Tree-Level Correlators for M-theory on $Ad{S}_7\times S^4$
• One-loop Gluon Amplitudes in AdS
• ABJM at Strong Coupling from M-theory, Localization, and Lorentzian Inversion
• Modular invariant holographic correlators for $\mathcal{N}=4$ SYM with general gauge group
• S-folds, String Junctions, and 4D $\mathcal{N}=2$ SCFTs
• Two-particle spectrum of tensor multiplets coupled to $Ad{S}_3\times S^3$ gravity
• More on holographic correlators: Twisted and dimensionally reduced structures
• ABJ Correlators with Weakly Broken Higher Spin Symmetry
• Higher-Dimensional Symmetry of AdS${}_2\times$S${}^2$ Correlators
• Notes on gravity multiplet correlators in $Ad{S}_3\times S^3$

Cited by in corpus (3)

• Selected Topics in Analytic Conformal Bootstrap: A Guided Journey
• Bootstrapping 4d $\mathcal{N}=2$ gauge theories: the case of SQCD
• Exceptional moduli spaces for exceptional $\mathcal{N}=3$ theories