Three Point Functions for a Class of Chiral Operators in Maximally Supersymmetric CFT at Large N

Abstract

We present a calculation of three point functions for a class of chiral operators, including the primary ones, in d = 3, N = 8; d = 6, N = (2,0) and d = 4, N = 4 superconformal field theories at large N. These theories are related to the infrared world-volume descriptions of N coincident M2, M5 and D3 branes, respectively. The calculation is done in the framework of the AdS/CFT correspondence and can be given a unified treatment employing a gravitational action in arbitrary dimensions D, coupled to a p+1 form and suitably compactified on AdS(D-2-p) x S(2+p). The interesting cases are obtained setting (D,p) to the values (11,5), (11,2) and (10,3).

25 pages, Plain TeX, no figures, requires AMS font files amssym.def and amssym.tex

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• Graviton exchange and complete 4-point functions in the AdS/CFT correspondence
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• Representations of superconformal algebras in the AdS_7/4/CFT_6/3 correspondence
• On the M5 and the AdS7/CFT6 Correspondence
• Five-Dimensional Path Integrals for Six-Dimensional Conformal Field Theories