Bonus Symmetries of N=4 Super-Yang-Mills Correlation Functions via AdS Duality

Abstract

General conjectures about the SL(2,Z) modular transformation properties of N=4 super-Yang-Mills correlation functions are presented. It is shown how these modular transformation properties arise from the conjectured duality with IIB string theory on AdS_5 x S^5. We discuss in detail a prediction of the AdS duality: that N=4 field theory, in an appropriate limit, must exhibit bonus symmetries, corresponding to the enhanced symmetries of IIB string theory in its supergravity limit.

arXiv comment29 pages, harvmac. Minor adjustments (journal version)

References in corpus (22)

• Gauge Theory Correlators from Non-Critical String Theory
• Superconformal Field Theory on Threebranes at a Calabi-Yau Singularity
• Type IIB superstring action in AdS_5 x S^5 background
• 4d Conformal Field Theories and Strings on Orbifolds
• On Conformal Theories in Four Dimensions
• Nonperturbative Formulas for Central Functions of Supersymmetric Gauge Theories
• Effects of D-instantons
• On Lorentz Invariant Actions for Chiral P-Forms
• World Volume Approach to Absorption by Non-dilatonic Branes
• Non-perturbative Effects in AdS5 * S5 String Theory and d=4 SUSY Yang-Mills
• Instantons in supersymmetric Yang-Mills and D-instantons in IIB superstring theory
• 4D Doubleton Conformal Theories, CPT and IIB String on AdS_5 X S^5
• Solution--Generating Transformations and the String Effective Action
• Vacua of M-theory and string theory
• K-K excitations on AdS_5 x S^5 as N=4 ``primary'' superfields
• Supersymmetric D3 brane action in AdS_5 x S^5
• Universality of the Operator Product Expansions of SCFT_4
• On the exact quartic effective action for the type IIB superstring
• Superconformal Invariants and Extended Supersymmetry
• Operator product expansions in four-dimensional superconformal field theories
• Born-Infeld Corrections to D3 brane Action in $Ad{S}_5\times S_5$ and N=4, d=4 Primary Superfields
• D-Instanton Corrections as (p,q)-String Effects and Non-Renormalization Theorems

Cited by in corpus (141)

• Deforming field theories with $U(1)\times U(1)$ global symmetry and their gravity duals
• The Complete One-Loop Dilatation Operator of N=4 Super Yang-Mills Theory
• Giant Gravitons in Conformal Field Theory
• On Short and Semi-Short Representations for Four Dimensional Superconformal Symmetry
• Superconformal Symmetry, Correlation Functions and the Operator Product Expansion
• Witten Diagrams Revisited: The AdS Geometry of Conformal Blocks
• How to Succeed at Holographic Correlators Without Really Trying
• Notes on the scattering amplitude / Wilson loop duality
• Superconformal Ward Identities and their Solution
• The $\mathcal{N}=8$ Superconformal Bootstrap in Three Dimensions
• $\mathcal{N}=4$ Super-Yang-Mills Correlators at Strong Coupling from String Theory and Localization
• Partial non-renormalisation of the stress-tensor four-point function in N=4 SYM and AdS/CFT
• Correlation Functions of Coulomb Branch Operators
• Three-Loop Four-Point Correlator in N=4 SYM
• The dual of Janus -:- an interface CFT
• Supersymmetric Wilson loops
• Diagonal multi-matrix correlators and BPS operators in N=4 SYM
• Anomalous dimensions in N=4 SYM theory at order g^4
• Quantum Gravity from Conformal Field Theory
• Bootstrap equations for $\mathcal{N}=4$ SYM with defects
• Nonlocal Field Theories and their Gravity Duals
• Correlation Functions and Massive Kaluza-Klein Modes in the AdS/CFT Correspondence
• $20^{\prime }$ Five-Point Function from $Ad{S}_5\times S^5$ Supergravity
• Higher Spin Symmetry and N=4 SYM
• A non-renormalization theorem for chiral primary 3-point functions
• The Conformal Bootstrap at Finite Temperature
• On Exactly Marginal Deformations of N=4 SYM and Type IIB Supergravity on AdS_5 * S^5
• On Four-Point Functions of Half-BPS Operators in General Dimensions
• Harmony of Super Form Factors
• Gluon Scattering in AdS from CFT
• Integral invariants in N=4 SYM and the effective action for coincident D-branes
• Holography for $\mathcal{N}=2^{\ast }$ on $S^4$
• $t{t}^{\ast }$ equations, localization and exact chiral rings in 4d N=2 SCFTs
• More on the duality correlators/amplitudes
• Exceptional non-renormalization properties and OPE analysis of chiral four-point functions in N=4 SYM_4
• On the spectrum of AdS/CFT beyond supergravity
• Modular Invariance in Superstring Theory From $\mathcal{N}=4$ Super-Yang-Mills
• Finite Factorization equations and Sum Rules for BPS correlators in N=4 SYM theory
• S-duality of the Leigh-Strassler Deformation via Matrix Models
• Extremal correlators in four-dimensional SCFT
• Universality in the geometric dependence of Renyi entropy
• Matching of correlators in AdS_3/CFT_2
• On exact correlation functions in SU(N) $\mathcal{N}=2$ superconformal QCD
• On Non-renormalization and OPE in Superconformal Field Theories
• Exact correlation functions in SU(2) N=2 superconformal QCD
• Explicit construction of nilpotent covariants in N=4 SYM
• New Modular Invariants in $\mathcal{N}=4$ Super-Yang-Mills Theory
• OPEs and 3-point correlators of protected operators in N=4 SYM
• Non-perturbative Defect One-Point Functions in Planar $\mathcal{N}=4$ Super-Yang-Mills
• One-Loop QCD Spin Chain and its Spectrum
• On a Large N Degeneracy in N=4 SYM and the AdS/CFT Correspondence
• On Operator Mixing in N=4 SYM
• Conjectures for Large N Superconformal N=4 Chiral Primary Four Point Functions
• More on correlators and contact terms in {\cal N}=4 SYM at order g^4
• The chiral ring of AdS3/CFT2 and the attractor mechanism
• Ten dimensional symmetry of N=4 SYM correlators
• Words to describe a black hole
• Extremal and next-to-extremal n-point correlators in four-dimensional SCFT
• 1/16 BPS States in N=4 SYM
• Near-extremal correlators and vanishing supergravity couplings in AdS/CFT
• Large-N correlation functions in $\mathcal{N}=2$ superconformal QCD
• Gauge Theories with Time Dependent Couplings and their Cosmological Duals
• F-theory and AdS_3/CFT_2 (2,0)
• BMN Operators for N=1 Superconformal Yang-Mills Theories and Associated String Backgrounds
• On the large R-charge $\mathcal{N}=2$ chiral correlators and the Toda equation
• Four-point functions in N=4 SYM
• Implications of Superconformal Symmetry for Interacting (2,0) Tensor Multiplets
• Correlators of Short Multi-Trace Operators in N=4 Supersymmetric Yang-Mills
• Systematics of Quarter BPS operators in N=4 SYM
• Non-renormalisation of extremal correlators in N=4 SYM theory
• Chiral 2d Theories from N=4 SYM with Varying Coupling
• Four-point functions in N=2 superconformal field theories
• Non-renormalization of next-to-extremal correlators in N=4 SYM and the AdS/CFT correspondence
• Holographic Interfaces in N=4 SYM: Janus and J-folds
• Four-point correlators with higher weight superconformal primaries in the AdS/CFT Correspondence
• Holography for $\mathcal{N}=1^{\ast }$ on $S^4$
• Three-Point Functions of Quarter BPS Operators in N=4 SYM
• Super-Rényi Entropy & Wilson Loops for N=4 SYM and their Gravity Duals
• Aspects of N=4 SYM
• On Harmonic Superspaces and Superconformal Fields in Four Dimensions
• S-Duality, Deconstruction and Confinement for a Marginal Deformation of N=4 SUSY Yang-Mills
• Invariants and divergences in half-maximal supergravity theories
• S-duality, 't Hooft operators and the operator product expansion
• Four-point functions of different-weight operators in the AdS/CFT correspondence
• Bonus Yangian Symmetry for the Planar S-Matrix of N=4 Super Yang-Mills
• Maximal $U(1{)}_Y$-violating $n$-point correlators in $\mathcal{N}=4$ super-Yang-Mills theory
• Orbifolds and Flows from Gauged Supergravity
• Three loop anomalous dimensions of twist-3 gauge operators in N=4 SYM
• Correlators, Probabilities and Topologies in N=4 SYM
• Surprises from the Resolution of Operator Mixing in N = 4 SYM
• The SAGEX Review on Scattering Amplitudes, Chapter 8: Half BPS correlators
• A New Limit of the AdS_5 x S^5 Sigma Model
• Higher Spins and Stringy AdS5xS5
• Instanton-induced Yang-Mills correlation functions at large N and their AdS_5xS^5 duals
• A New Deconstruction of Little String Theory
• Exact Stringy Microstates from Gauge Theories
• Six-dimensional Origin of $\mathcal{N}=4$ SYM with Duality Defects
• Non-invertible symmetries along 4d RG flows
• Revisiting N=4 superconformal blocks
• Modular Forms and $SL(2,\mathbb{Z})$-covariance of type IIB superstring theory
• Generating functions and large-charge expansion of integrated correlators in $\mathcal{N}=4$ supersymmetric Yang-Mills theory
• Bootstrapping correlation functions in N=4 SYM
• The SAGEX Review on Scattering Amplitudes, Chapter 10: Selected topics on modular covariance of type IIB string amplitudes and their $\mathcal{N}=4$ supersymmetric Yang-Mills duals
• Uplifting GPPZ: A Ten-dimensional Dual of $\mathcal{N}=1^{\ast }$
• Precision Holography for $\mathcal{N}=2^{\ast }$ on $S^4$ from type IIB Supergravity
• Operator mixing and three-point functions in N=4 SYM
• Correlators Of Operators with a Large R-charge
• Holographic cubic vertex in the pp-wave
• Conformal partial wave analysis of AdS amplitudes for dilaton-axion four-point functions
• Slowly Varying Dilaton Cosmologies and their Field Theory Duals
• The 10d Uplift of the GPPZ Solution
• Theories of Class F and Anomalies
• Geometry of Higgs-branch superconformal primary bundles
• (Non-)perturbative tests of the AdS/CFT correspondence
• Nonlocal Charges for Bonus Yangian Symmetries of Super-Yang-Mills
• Kaluza-Klein Spectroscopy for the Leigh-Strassler SCFT
• Some Systematics of the Coupling Constant Dependence of N=4 Yang-Mills
• Holographic dual of hot Polchinski-Strassler quark-gluon plasma
• Dual expansions of N=4 super Yang-Mills theory via IIB superstring theory
• A Deformation of Twistor Space and a Chiral Mass Term in N=4 Super Yang-Mills Theory
• On N = 2 Truncations of IIB on T^{1,1}
• AdS/SCFT in Superspace
• The Hitchhiker's Guide to 4d $\mathcal{N}=2$ Superconformal Field Theories
• Higher-Point Integrands in N=4 super Yang-Mills Theory
• Noncentral extension of the $Ad{S}_5\times S^5$ superalgebra: supermultiplet of brane charges
• A Curious Truncation of N=4 Yang-Mills
• Thresholds of Large N Factorization in CFT4 : Exploring bulk spacetime in AdS5
• A Note on Domain Walls and the Parameter Space of N=1 Gauge Theories
• A Holographic Kaleidoscope for $\mathcal{N}=1^{\ast }$
• Notes on conformal integrals: Coulomb branch amplitudes, magic identities and bootstrap
• The secret symmetries of the AdS/CFT reflection matrices
• On the Kähler-Hodge structure of superconformal manifolds
• Four-point correlators in N=4 SYM from AdS${}_5$ bubbling geometries
• SL(2,Z) Multiplets in N=4 SYM Theory
• Quantum 't Hooft loops of SYM N=4 as instantons of YM_2 in dual groups SU(N) and SU(N)/Z_N
• Central charges, S-duality and massive vacua of N=1* super Yang-Mills
• Higher-Point Correlators in N=4 SYM: Generating Functions
• More on 't Hooft loops in N=4 SYM
• Global variants of $\mathcal{N}=1^{\ast }$ theories and Calogero-Moser systems
• S-duality and loop operators in canonical formalism
• Exact expressions for $n$-point maximal $U(1{)}_Y$-violating integrated correlators in $SU(N)$ $\mathcal{N}=4$ SYM