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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/178895
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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FIOL NÚÑEZ, Bartomeu, MARTÍNEZ MONTOYA, Jairo and RIOS FUKELMAN, Alan. The planar limit of N=2 superconformal field theories. Journal of High Energy Physics. 2020. Vol. 2020, num. 136. ISSN 1126-6708. [consulted: 16 of June of 2026]. Available at: https://hdl.handle.net/2445/178895