# name
The planar limit of N=2 superconformal field theories

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We 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.

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Journal of High Energy Physics, 2020, vol. 2020, num. 136

# metadata.dc.rights[].value
cc-by (c) Fiol Núñez, Bartomeu et al., 2020

# metadata.dc.source[].value
Articles publicats en revistes (Física Quàntica i Astrofísica)

# metadata.dc.title[].value
The planar limit of N=2 superconformal field theories