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.

25 pages, LaTeX, uses feynmp

References in corpus (1)

• A three-loop test of the dilatation operator in N=4 SYM

Cited by in corpus (10)

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• Quantum Gravity from Conformal Field Theory
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• 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