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

B. Eden·S. Ferrara·E. Sokatchev
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Abstract

We analyse the OPE of any two 1/2 BPS operators of (2,0) SCFT$_6$ 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 $N_c$ coincident M5 branes, dual, in the large-$N_c$ limit, to the bulk M-theory compactified on AdS$_7 \times$S$_4$. An interpretation of extremal and next-to-extremal correlators in terms of exchange of operators with protected conformal dimension is given.

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B. Eden, S. Ferrara, E. Sokatchev. 2001-09-10. (2,0) Superconformal OPEs in D=6, Selection Rules and Non-renormalization Theorems. https://doi.org/10.1088/1126-6708%2F2001%2F11%2F020

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