A non-renormalization theorem for chiral primary 3-point functions

Abstract

In this note we prove a non-renormalization theorem for the 3-point functions of 1/2 BPS primaries in the four-dimensional N = 4 SYM and chiral primaries in two dimensional N =(4,4) SCFTs. Our proof is rather elementary: it is based on Ward identities and the structure of the short multiplets of the superconformal algebra and it does not rely on superspace techniques. We also discuss some possible generalizations to less supersymmetric multiplets.

32 pages, added references, corrected typos

References in corpus (4)

• Matching of correlators in AdS_3/CFT_2
• The chiral ring of AdS3/CFT2 and the attractor mechanism
• Exact N=4 correlators of AdS(3)/CFT(2)
• Worldsheet four-point functions in AdS(3)/CFT(2)

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• Journey to the Center of the Fuzzball
• Entanglement Entropy and D1-D5 geometries
• ABJ(M) Chiral Primary Three-Point Function at Two-loops
• Thresholds of Large N Factorization in CFT4 : Exploring bulk spacetime in AdS5
• Pulsating strings from two dimensional CFT on $(T^4{)}^N/S(N)$