(2,0) superconformai OPEs in D = 6, selection rules and non-renormalization theorems

Abstract

We analyse the OPE of any two 1/2 BPS operators of (2,0) SCFT6 by constructing all possible three-point functions that they can form with another, in general long operator. Such three-point functions are uniquely determined by superconformai symmetry. Selection rules are derived, which allow us to infer non-renormalization theorems for an abstract superconformai field theory. The latter is supposedly related to the strong-coupling dynamics of N c coincident M5 branes, dual, in the large-./Vc limit, to the bulk M-theory compactified on AdS 7×S 4 An interpretation of extremal and next-to-extremal correlators in terms of exchange of operators with protected conformai dimension is given.