The planar limit of N $$ \mathcal{N} $$ = 2 chiral correlators

Abstract We derive the planar limit of 2- and 3-point functions of single-trace chiral primary operators of N $$ \mathcal{N} $$ = 2 SQCD on S 4, to all orders in the ’t Hooft coupling. In order to do so, we first obtain a combinatorial expression for the planar free energy of a hermitian matrix mode...

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Bibliographic Details
Main Authors: Bartomeu Fiol, Alan Rios Fukelman
Format: Article
Language:English
Published: SpringerOpen 2021-08-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP08(2021)032
Description
Summary:Abstract We derive the planar limit of 2- and 3-point functions of single-trace chiral primary operators of N $$ \mathcal{N} $$ = 2 SQCD on S 4, to all orders in the ’t Hooft coupling. In order to do so, we first obtain a combinatorial expression for the planar free energy of a hermitian matrix model with an infinite number of arbitrary single and double trace terms in the potential; this solution might have applications in many other contexts. We then use these results to evaluate the analogous planar correlation functions on ℝ4. Specifically, we compute all the terms with a single value of the ζ function for a few planar 2- and 3-point functions, and conjecture general formulas for these terms for all 2- and 3-point functions on ℝ4.
ISSN:1029-8479