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The planar limit of integrated 4-point functions

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arxiv 2303.09572 v1 pith:ATI7IKX6 submitted 2023-03-16 hep-th

The planar limit of integrated 4-point functions

classification hep-th
keywords functionsintegratedplanarpointfreelimitoperatorsadvantage
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We compute the planar limit, as all-order power series in the 't Hooft coupling, of various integrated 4-point functions of chiral primary operators of ${\cal N}=4$ SU(N) super Yang-Mills, and of moment map operators of ${\cal N}=2$ SU(N) SQCD. We do so by computing the planar free energy on $S^4$ of the respective massive deformations of these theories, and then taking advantage of the exact relation between these free energies and the integrated 4-point functions.

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