The planar limit of N=2 superconformal field theories
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...
| Autores: | , , |
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| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2020 |
| País: | España |
| Recursos: | Universidad de Barcelona |
| Repositorio: | Dipòsit Digital de la UB |
| OAI Identifier: | oai:diposit.ub.edu:2445/178895 |
| Acesso em linha: | https://hdl.handle.net/2445/178895 |
| Access Level: | acceso abierto |
| Palavra-chave: | Teoria quàntica de camps Quantum field theory |
| Resumo: | 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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