Exceptional non-renormalization properties and OPE analysis of chiral 
four-point functions in N=4 SYM_4

Arutyunov, Gleb; Eden, Burkhard U.; Petkou, Anastasios C.; Sokatchev, E.

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Exceptional non-renormalization properties and OPE analysis of chiral four-point functions in N=4 SYM_4

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Arutyunov, Gleb
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Citation

Arutyunov, G., Eden, B. U., Petkou, A. C., & Sokatchev, E. (2002). Exceptional non-renormalization properties and OPE analysis of chiral four-point functions in N=4 SYM_4. Nuclear Physics B, 620, 380-404.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-5505-D

Abstract

We show that certain classes of apparently unprotected operators in N=4 SYM_4 do not receive quantum corrections as a consequence of a partial non-renormalization theorem for the 4-point function of chiral primary operators. We develop techniques yielding the asymptotic expansion of the 4-point function of CPOs up to order O(lambda^2) and we perform a detailed OPE analysis. Our results reveal the existence of new non-renormalized operators of approximate dimension 6.