Abstract
We study the planar limit of integrated 4-point functions of moment map operators of 𝒩 = 2 SU(N) SQCD. We do so by considering the planar free energy on S4 of the massive deformation of this theory, and taking advantage of the exact relation between this free energy and the integrated 4-point function. For this planar free energy we derive all the terms with maximal and next-to-maximal transcendentality, and present a procedure to compute terms of lower transcendentality. We also derive the first non-planar corrections, as all order series in the ’t Hooft coupling, and to all orders in transcendentality. Finally, we also apply our approach to the better studied example of 𝒩 = 4 SU(N) SYM integrated 4-point functions, and reproduce their known planar limit.
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Acknowledgments
We would like to thank Fernando Alday and Shai Chester for correspondence. The research of BF is supported by the State Agency for Research of the Spanish Ministry of Science and Innovation through the “Unit of Excellence María de Maeztu 2020-2023” award to the Institute of Cosmos Sciences (CEX2019-000918-M) and PID2019-105614GB-C22. ZK is supported by CSC grant No. 201906340174.
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Fiol, B., Kong, Z. The planar limit of integrated 4-point functions. J. High Energ. Phys. 2023, 100 (2023). https://doi.org/10.1007/JHEP07(2023)100
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DOI: https://doi.org/10.1007/JHEP07(2023)100