The planar limit of integrated 4-point functions

Abstract

We compute the planar limit, as all-order power series in the 't Hooft coupling, of various integrated 4-point functions of chiral primary operators of $\mathcal{N}=4$ SU(N) super Yang-Mills, and of moment map operators of $\mathcal{N}=2$ SU(N) SQCD. We do so by computing the planar free energy on $S^4$ of the respective massive deformations of these theories, and then taking advantage of the exact relation between these free energies and the integrated 4-point functions.

arXiv comment23 pages

References in corpus (28)

• Localization of gauge theory on a four-sphere and supersymmetric Wilson loops
• Infinite Chiral Symmetry in Four Dimensions
• On Short and Semi-Short Representations for Four Dimensional Superconformal Symmetry
• Superconformal Symmetry, Correlation Functions and the Operator Product Expansion
• Superconformal Ward Identities and their Solution
• $\mathcal{N}=4$ Super-Yang-Mills Correlators at Strong Coupling from String Theory and Localization
• Deformations of Superconformal Theories
• Correlation Functions of Coulomb Branch Operators
• The $\mathcal{N}=2$ superconformal bootstrap
• On Four-Point Functions of Half-BPS Operators in General Dimensions
• Far Beyond the Planar Limit in Strongly-Coupled $\mathcal{N}=4$ SYM
• Massive N=2 Gauge Theories at Large N
• Exact properties of an integrated correlator in $\mathcal{N}=4$ $SU(N)$ SYM
• Topological Anti-Topological Fusion in Four-Dimensional Superconformal Field Theories
• New Modular Invariants in $\mathcal{N}=4$ Super-Yang-Mills Theory
• Two-point Correlators in N=2 Gauge Theories
• Harnessing S-Duality in $\mathcal{N}=4$ SYM & Supergravity as $SL(2,\mathbb{Z})$-Averaged Strings
• BPS Wilson loops in generic conformal N=2 SU(N) SYM theories
• Correlators between Wilson loop and chiral operators in N=2 conformal gauge theories
• Four-point functions in N=2 superconformal field theories
• Kahler Potential and Ambiguities in 4d N=2 SCFTs
• Modular-invariant large-$N$ completion of an integrated correlator in $\mathcal{N}=4$ supersymmetric Yang-Mills theory
• Correlators in the Simplest Gauge-String Duality
• Bootstrapping 4d $\mathcal{N}=2$ gauge theories: the case of SQCD
• The planar limit of $\mathcal{N}=2$ superconformal field theories
• Wilson loops in terms of color invariants
• The planar limit of $\mathcal{N}=2$ chiral correlators
• A derivation of the planar limit of $\mathcal{N}=2$ chiral correlators

Cited by in corpus (3)

• Integrated correlators at strong coupling in an orbifold of $\mathcal{N}=4$ SYM
• Integrated correlators with a Wilson line in a $\mathcal{N}=2$ quiver gauge theory at strong coupling
• Integrated correlators of coincident Wilson lines in $SU(N)$ gauge theories at strong coupling