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.

arXiv comment40+13 pages, 7 tables, PDF LaTeX, v2: New subsection, v3: Added references, v4: More discussion, v5: Corrections

References in corpus (74)

• Gauge Theory Correlators from Non-Critical String Theory
• The Large N Limit of Superconformal Field Theories and Supergravity
• Bounding scalar operator dimensions in 4D CFT
• Holography from Conformal Field Theory
• Baryons And Branes In Anti de Sitter Space
• Writing CFT correlation functions as AdS scattering amplitudes
• Reading between the lines of four-dimensional gauge theories
• The Analytic Bootstrap and AdS Superhorizon Locality
• Analyticity in Spin in Conformal Theories
• Convexity and Liberation at Large Spin
• Graviton exchange and complete 4-point functions in the AdS/CFT correspondence
• The Lightcone Bootstrap and the Spectrum of the 3d Ising CFT
• On Short and Semi-Short Representations for Four Dimensional Superconformal Symmetry
• A Natural Language for AdS/CFT Correlators
• Superconformal Symmetry, Correlation Functions and the Operator Product Expansion
• Large Spin Perturbation Theory
• Mellin amplitudes for $Ad{S}_5\times S^5$
• The Large N Limit of $\mathcal{N}=2,1$ Field Theories from Threebranes in F-theory
• Loops in AdS from Conformal Field Theory
• How to Succeed at Holographic Correlators Without Really Trying
• Analyticity and the Holographic S-Matrix
• Superconformal Ward Identities and their Solution
• Gravitational S-matrix from CFT dispersion relations
• Loop Corrections to Supergravity on $Ad{S}_5\times S^5$
• N=3 four dimensional field theories
• Large N Superconformal Gauge Theories and Supergravity Orientifolds
• Exceptional groups from open strings
• Correlation Functions and Massive Kaluza-Klein Modes in the AdS/CFT Correspondence
• S-folds and 4d N=3 superconformal field theories
• Four-point Functions of Lowest Weight CPOs in N=4 SYM_4 in Supergravity Approximation
• A holographic computation of the central charges of d=4, N=2 SCFTs
• A Study of Quantum Field Theories in AdS at Finite Coupling
• Unmixing Supergravity
• On Four-Point Functions of Half-BPS Operators in General Dimensions
• Gluon Scattering in AdS from CFT
• Loop corrections for Kaluza-Klein AdS amplitudes
• Bootstrapping $\mathcal{N}=3$ superconformal theories
• More $\mathcal{N}=4$ superconformal bootstrap
• $\mathbf{Ad}{\mathbf{S}}_3\times {\mathbf{S}}^3$ Tree-Level Correlators: Hidden Six-Dimensional Conformal Symmetry
• Unitarity Methods in AdS/CFT
• On Superconformal Four-Point Mellin Amplitudes in Dimension $d>2$
• On a Large N Degeneracy in N=4 SYM and the AdS/CFT Correspondence
• Double Copy Relation for AdS
• Casimir recursion relations for general conformal blocks
• AdS${}_4$/CFT${}_3$ from Weak to Strong String Coupling
• The M-theory Archipelago
• Quantum ${\varphi }^4$ Theory in AdS${}_4$ and its CFT Dual
• Bootstrapping the half-BPS line defect CFT in $\mathcal{N}=4$ SYM at strong coupling
• Loops in Anti-de Sitter Space
• All Tree-Level Correlators for M-theory on $Ad{S}_7\times S^4$
• 4d $\mathcal{N}=2$ S-folds
• Implications of Superconformal Symmetry for Interacting (2,0) Tensor Multiplets
• Loops in AdS: From the Spectral Representation to Position Space
• The CFT${}_6$ origin of all tree-level 4-point correlators in AdS${}_3\times S^3$
• A Comment on BPS States in F-theory in 8 Dimensions
• Crossing symmetry, transcendentality and the Regge behaviour of 1d CFTs
• One-loop Gluon Amplitudes in AdS
• New N=2 superconformal field theories from S-folds
• From bulk loops to boundary large-N expansion
• All Holographic Four-Point Functions in All Maximally Supersymmetric CFTs
• ABJM at Strong Coupling from M-theory, Localization, and Lorentzian Inversion
• Modular invariant holographic correlators for $\mathcal{N}=4$ SYM with general gauge group
• 6d (2,0) and M-theory at 1-loop
• S-folds, String Junctions, and 4D $\mathcal{N}=2$ SCFTs
• On Mellin Amplitudes in SCFTs with Eight Supercharges
• AdS${}_4$/CFT${}_3$ for Unprotected Operators
• Polyakov-Mellin Bootstrap for AdS loops
• More on holographic correlators: Twisted and dimensionally reduced structures
• Two-particle spectrum of tensor multiplets coupled to $Ad{S}_3\times S^3$ gravity
• ABJ Correlators with Weakly Broken Higher Spin Symmetry
• Superconformal Blocks for Mixed 1/2-BPS Correlators with $SU(2)$ R-symmetry
• Higher-Dimensional Symmetry of AdS${}_2\times$S${}^2$ Correlators
• Lightcone expansions of conformal blocks in closed form
• 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