A wide class of four point functions of BPS operators in N=4 SYM at order g^4

Abstract

The calculation of a large family of four point functions of general BPS operators in N=4 SYM is reduced to the evaluation of colour contractions. For 1/2 BPS operators O_Δthe explicit results at order g^4 for the function < O_n O_2 O_n O_2 > are given up to n=6. The OPE of the general result is performed up to the second order in the short distance expansion parameter. Two examples are given, in which the mixing of the operators in the intermediate channel can be resolved using four point functions computed by this method.

arXiv comment25 pages, LaTeX, uses feynmp

References in corpus (32)

• Large N Field Theories, String Theory and Gravity
• Conformal Four Point Functions and the Operator Product Expansion
• Conformal Partial Waves and the Operator Product Expansion
• Three-Point Functions of Chiral Operators in D=4, $\mathcal{N}=4$ SYM at Large N
• The Complete One-Loop Dilatation Operator of N=4 Super Yang-Mills Theory
• On Short and Semi-Short Representations for Four Dimensional Superconformal Symmetry
• Field Theory Tests for Correlators in the AdS/CFT Correspondence
• Extremal Correlators in the AdS/CFT Correspondence
• Three-Loop Four-Point Correlator in N=4 SYM
• Anomalous dimensions in N=4 SYM theory at order g^4
• Correlation Functions and Massive Kaluza-Klein Modes in the AdS/CFT Correspondence
• Four-point functions in N=4 supersymmetric Yang-Mills theory at two loops
• Nilpotent invariants in N=4 SYM
• On the logarithmic behaviour in N=4 SYM theory
• 3-Point Functions in N=4 Yang-Mills
• A three-loop test of the dilatation operator in N=4 SYM
• Properties of the Konishi multiplet in N=4 SYM theory
• Simplifications of four-point functions in N=4 supersymmetric Yang-Mills theory at two loops
• Exceptional non-renormalization properties and OPE analysis of chiral four-point functions in N=4 SYM_4
• Extremal correlators in four-dimensional SCFT
• OPEs and 3-point correlators of protected operators in N=4 SYM
• On the OPE of 1/2 BPS Short Operators in N=4 SCFT${}_4$
• Shortening of primary operators in N-extended SCFT_4 and harmonic-superspace analyticity
• On Operator Mixing in N=4 SYM
• Superconformal Invariants and Extended Supersymmetry
• Four-point functions in N=4 SYM
• Non-renormalisation of extremal correlators in N=4 SYM theory
• Three-Point Functions of Quarter BPS Operators in N=4 SYM
• Four-point correlators of BPS operators in N=4 SYM at order g^4
• Surprises from the Resolution of Operator Mixing in N = 4 SYM
• On two fermion BMN operators
• Field theory insight from the AdS/CFT correspondence

Cited by in corpus (10)

• Hexagonalization of Correlation Functions
• Quantum Gravity from Conformal Field Theory
• All three-loop four-point correlators of half-BPS operators in planar N=4 SYM
• Tailoring Non-Compact Spin Chains
• The SAGEX Review on Scattering Amplitudes, Chapter 8: Half BPS correlators
• Laplace-difference equation for integrated correlators of operators with general charges in $\mathcal{N}=4$ SYM
• Decagon at Two Loops
• Characters of the Positive Energy UIRs of D=4 Conformal Supersymmetry
• A note on four-point correlators of half-BPS operators in N=4 SYM
• Some aspects of conformal $\mathcal{N}=4$ SYM four point function