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

• Main Authors: Bartomeu Fiol, Alan Rios Fukelman
• Format: Article
• Language: English
• Published: SpringerOpen 2021-08-01
• Series: Journal of High Energy Physics
• Subjects: 1/N Expansion; Supersymmetric Gauge Theory
• Online Access: https://doi.org/10.1007/JHEP08(2021)032

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.