OPEs and 3-point correlators of protected operators in N=4 SYM

Abstract

Two- and three-point correlation functions of arbitrary protected operators are constructed in N=4 SYM using analytic superspace methods. The OPEs of two chiral primary multiplets are given. It is shown that the $n$-point functions of protected operators for $n\le 4$ are invariant under $U(1{)}_Y$ and it is argued that this implies that the two- and three-point functions are not renormalised. It is shown explicitly how unprotected operators can be accommodated in the analytic superspace formalism in a way which is fully compatible with analyticity. Some new extremal correlators are exhibited.

22 pages

References in corpus (2)

• Properties of the Konishi multiplet in N=4 SYM theory
• (Non-)perturbative tests of the AdS/CFT correspondence

Cited by in corpus (57)

• Superconformal Symmetry, Correlation Functions and the Operator Product Expansion
• How to Succeed at Holographic Correlators Without Really Trying
• Diagonal multi-matrix correlators and BPS operators in N=4 SYM
• The super-correlator/super-amplitude duality: Part I
• Hidden symmetry of four-point correlation functions and amplitudes in N=4 SYM
• $20^{\prime }$ Five-Point Function from $Ad{S}_5\times S^5$ Supergravity
• Correlation Functions and Massive Kaluza-Klein Modes in the AdS/CFT Correspondence
• A non-renormalization theorem for chiral primary 3-point functions
• Unmixing Supergravity
• Giant Graviton Oscillators
• Anatomy of bubbling solutions
• $t{t}^{\ast }$ equations, localization and exact chiral rings in 4d N=2 SCFTs
• Matching of correlators in AdS_3/CFT_2
• On exact correlation functions in SU(N) $\mathcal{N}=2$ superconformal QCD
• The super-correlator/super-amplitude duality: Part II
• Exact correlation functions in SU(2) N=2 superconformal QCD
• All three-loop four-point correlators of half-BPS operators in planar N=4 SYM
• On a Large N Degeneracy in N=4 SYM and the AdS/CFT Correspondence
• On Operator Mixing in N=4 SYM
• Surprisingly Simple Spectra
• More on La Grande Bouffe: towards higher spin symmetry breaking in AdS
• Large-N correlation functions in $\mathcal{N}=2$ superconformal QCD
• Four-point functions in N=4 SYM
• Next-next-to-extremal Four Point Functions of N=4 1/2 BPS Operators in the AdS/CFT Correspondence
• Systematics of Quarter BPS operators in N=4 SYM
• From counting to construction of BPS states in N=4 SYM
• The structure of n-point functions of chiral primary operators in N=4 super Yang-Mills at one-loop
• Single Particle Operators and their Correlators in Free $\mathcal{N}=4$ SYM
• Two-point functions in AdS/dCFT and the boundary conformal bootstrap equations
• Extremal vs. Non-Extremal Correlators with Giant Gravitons
• Aspects of N=4 SYM
• New shifted hybrid inflation
• Three-point functions in planar N=4 super Yang-Mills Theory for scalar operators up to length five at the one-loop order
• Aspects of superconformal field theories in six dimensions
• The SAGEX Review on Scattering Amplitudes, Chapter 8: Half BPS correlators
• Non-planar Anomalous Dimensions in the sl(2) Sector
• Superconformal partial waves in Grassmannian field theories
• Revisiting N=4 superconformal blocks
• Bootstrapping correlation functions in N=4 SYM
• Direct test of the AdS/CFT correspondence by Monte Carlo studies of N=4 super Yang-Mills theory
• Operator mixing and three-point functions in N=4 SYM
• On two fermion BMN operators
• Geometry of Higgs-branch superconformal primary bundles
• Three-Point Functions of Twist-Two Operators in N=4 SYM at One Loop
• A wide class of four point functions of BPS operators in N=4 SYM at order g^4
• Some Systematics of the Coupling Constant Dependence of N=4 Yang-Mills
• N=4 superparticle and super Yang-Mills theory in USp(4) harmonic superspace
• The Hitchhiker's Guide to 4d $\mathcal{N}=2$ Superconformal Field Theories
• Higher-Point Integrands in N=4 super Yang-Mills Theory
• Matching three-point functions of BMN operators at weak and strong coupling
• Gauge-invariant correlation functions in light-cone superspace
• Thresholds of Large N Factorization in CFT4 : Exploring bulk spacetime in AdS5
• A note on three-point functions of unprotected operators
• On the Kähler-Hodge structure of superconformal manifolds
• Fractional Multi-Trace Fields of N=4 SYM_4 from AdS/CFT
• Explicit Character Formulae for Positive Energy UIRs of D=4 Conformal Supersymmetry
• Rebooting quarter-BPS operators in $\mathcal{N}=4$ Super Yang-Mills