(2,0) Superconformal OPEs in D=6, Selection Rules and Non-renormalization Theorems

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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 superconformal symmetry. Selection rules are derived, which allow us to infer ``non-renormalization theorems'' for an abstract superconformal field theory. The latter is supposedly related to the strong-coupling dynamics of Nc coincident M5 branes, dual, in the large-Nc limit, to the bulk M-theory compactified on AdS₇ ₄. An interpretation of extremal and next-to-extremal correlators in terms of exchange of operators with protected conformal dimension is given.