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Four-point functions of 1/2-BPS operators of any weights in the supergravity approximation. (English) Zbl 1398.83119

Summary: We present the computation of all the correlators of 1/2-BPS operators in \( \mathcal{N}=4 \) SYM with weights up to 8 as well as some very high-weight correlation functions from the effective supergravity action. The computation is done by implementing the recently developed simplified algorithm in combination with the harmonic polynomial formalism. We provide a database of these results attached to this publication and additionally check for almost all of the functions in this database that they agree with the conjecture on their Mellin-space form.

MSC:

83E50 Supergravity
81T40 Two-dimensional field theories, conformal field theories, etc. in quantum mechanics
81T13 Yang-Mills and other gauge theories in quantum field theory
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