Fiol Núñez, BartomeuMartínez Montoya, JairoRios Fukelman, Alan2021-07-062021-07-062020-05-271126-6708https://hdl.handle.net/2445/178895We obtain the perturbative expansion of the free energy on S4 for four dimensional Lagrangian N = 2 superconformal field theories, to all orders in the 't Hooft coupling, in the planar limit. We do so by using supersymmetric localization, after rewriting the 1-loop factor as an effective action involving an infinite number of single and double trace terms. The answer we obtain is purely combinatorial, and involves a sum over tree graphs. We also apply these methods to the perturbative expansion of the free energy at finite N , and to the computation of the vacuum expectation value of the 1/2 BPS circular Wilson loop, which in the planar limit involves a sum over rooted tree graphs.27 p.application/pdfengcc-by (c) Fiol Núñez, Bartomeu et al., 2020https://creativecommons.org/licenses/by/4.0/Teoria quàntica de campsQuantum field theoryinfo:eu-repo/semantics/article7017722021-07-06info:eu-repo/semantics/openAccess