Large N Correlation Functions in Superconformal Field Theories

Abstract

We compute correlation functions of chiral primary operators in N=2 superconformal theories at large N using a construction based on supersymmetric localization recently developed by Gerchkovitz et al. We focus on N=4 SYM as well as on superconformal QCD. In the case of N=4 we recover the free field theory results as expected due to non-renormalization theorems. In the case of superconformal QCD we study the planar expansion in the large N limit. The final correlators admit a simple generalization to a finite N formula which exactly matches the various small $N$ results in the literature.

34 pages, no figures

References in corpus (7)

• Sphere Partition Functions and the Zamolodchikov Metric
• A non-renormalization theorem for chiral primary 3-point functions
• $t{t}^{\ast }$ equations, localization and exact chiral rings in 4d N=2 SCFTs
• The Exact Bremsstrahlung Function in N=2 Superconformal Field Theories
• AGT on the S-duality Wall
• Constraints on Chiral Operators in N=2 SCFTs
• Probing N=2 superconformal field theories with localization

Cited by in corpus (45)

• Genus-2 Holographic Correlator on $Ad{S}_5\times S^5$ from Localization
• A limit for large $R$-charge correlators in $\mathcal{N}=2$ theories
• On the Large $R$-charge Expansion in $\mathcal{N}=2$ Superconformal Field Theories
• More Exact Results in the Wilson Loop Defect CFT: Bulk-Defect OPE, Nonplanar Corrections and Quantum Spectral Curve
• Operator Mixing in Large $N$ Superconformal Field Theories on ${\mathbb{S}}^4$ and Correlators with Wilson loops
• Sizes, Colour gradients and Resolved Stellar Mass Distributions for the Massive Cluster Galaxies in XMMUJ2235-2557 at z = 1.39
• N=2 Conformal SYM theories at large N
• BPS Wilson loops in generic conformal N=2 SU(N) SYM theories
• Large-N correlation functions in $\mathcal{N}=2$ superconformal QCD
• Correlators between Wilson loop and chiral operators in N=2 conformal gauge theories
• On the large R-charge $\mathcal{N}=2$ chiral correlators and the Toda equation
• Extremal Correlators and Random Matrix Theory
• Exact results in a N=2 superconformal gauge theory at strong coupling
• Taming Defects in $\mathcal{N}=4$ Super-Yang-Mills
• Large $N$ correlation functions in $\mathcal{N}=2$ superconformal quivers
• A slow review of the AGT correspondence
• Aspects of Berry phase in QFT
• Exact Correlators on the Wilson Loop in $\mathcal{N}=4$ SYM: Localization, Defect CFT, and Integrability
• Localization vs holography in $4d$ $\mathcal{N}=2$ quiver theories
• $\mathcal{N}=2$ conformal gauge theories at large R-charge: the $SU(N)$ case
• Quiver CFT at strong coupling
• Double scaling limit of N=2 chiral correlators with Maldacena-Wilson loop
• Two-point correlators in non-conformal $\mathcal{N}=2$ gauge theories
• Giant Wilson Loops and AdS${}_2$/dCFT${}_1$
• Three-point functions in a $\mathcal{N}=2$ superconformal gauge theory and their strong-coupling limit
• Exact Deconstruction of the 6D (2,0) Theory
• Strong coupling expansions in $\mathcal{N}=2$ quiver gauge theories
• Universality of Toda equation in $\mathcal{N}=2$ superconformal field theories
• The planar limit of $\mathcal{N}=2$ chiral correlators
• Integrated correlators at strong coupling in an orbifold of $\mathcal{N}=4$ SYM
• OPE coefficients in Argyres-Douglas theories
• Linear Quivers at Large-$N$
• Emitted Radiation and Geometry
• Wilson loop correlators at strong coupling in $\mathcal{N}=2$ quiver gauge theories
• Partition functions of non-Lagrangian theories from the holomorphic anomaly
• Defect correlators in a $\mathcal{N}=2$ SCFT at strong coupling
• Circular Wilson loop in N=2* super Yang-Mills theory at two loops and localization
• Wilson loops in Large Symmetric Representations through a Double-Scaling Limit
• Wilson loop correlators in $\mathcal{N}=2$ superconformal quivers
• A derivation of the planar limit of $\mathcal{N}=2$ chiral correlators
• Chiral correlators in $\mathcal{N}=2$ superconformal quivers
• Strong-coupling results for $\mathcal{N}=2$ superconformal quivers and holography
• Multi-trace Correlators from Permutations as Moduli Space
• One-point functions for doubly-holographic BCFTs and backreacting defects
• Exact expressions for $n$-point maximal $U(1{)}_Y$-violating integrated correlators in $SU(N)$ $\mathcal{N}=4$ SYM