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...

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Autores: Fiol Núñez, Bartomeu, Martínez Montoya, Jairo, Rios Fukelman, Alan
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2020
País:España
Institución:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/178895
Acceso en línea:https://hdl.handle.net/2445/178895
Access Level:acceso abierto
Palabra clave:Teoria quàntica de camps
Quantum field theory
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spelling The planar limit of N=2 superconformal field theoriesFiol Núñez, BartomeuMartínez Montoya, JairoRios Fukelman, AlanTeoria quàntica de campsQuantum field theoryWe 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.Springer Verlag2020info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://hdl.handle.net/2445/178895Articles publicats en revistes (Física Quàntica i Astrofísica)reponame:Dipòsit Digital de la UBinstname:Universidad de BarcelonaInglésReproducció del document publicat a: https://doi.org/10.1007/JHEP05(2020)136Journal of High Energy Physics, 2020, vol. 2020, num. 136https://doi.org/10.1007/JHEP05(2020)136cc-by (c) Fiol Núñez, Bartomeu et al., 2020https://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:diposit.ub.edu:2445/1788952026-05-27T06:46:51Z
dc.title.none.fl_str_mv The planar limit of N=2 superconformal field theories
title The planar limit of N=2 superconformal field theories
spellingShingle The planar limit of N=2 superconformal field theories
Fiol Núñez, Bartomeu
Teoria quàntica de camps
Quantum field theory
title_short The planar limit of N=2 superconformal field theories
title_full The planar limit of N=2 superconformal field theories
title_fullStr The planar limit of N=2 superconformal field theories
title_full_unstemmed The planar limit of N=2 superconformal field theories
title_sort The planar limit of N=2 superconformal field theories
dc.creator.none.fl_str_mv Fiol Núñez, Bartomeu
Martínez Montoya, Jairo
Rios Fukelman, Alan
author Fiol Núñez, Bartomeu
author_facet Fiol Núñez, Bartomeu
Martínez Montoya, Jairo
Rios Fukelman, Alan
author_role author
author2 Martínez Montoya, Jairo
Rios Fukelman, Alan
author2_role author
author
dc.subject.none.fl_str_mv Teoria quàntica de camps
Quantum field theory
topic Teoria quàntica de camps
Quantum field theory
description 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.
publishDate 2020
dc.date.none.fl_str_mv 2020
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/2445/178895
url https://hdl.handle.net/2445/178895
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Reproducció del document publicat a: https://doi.org/10.1007/JHEP05(2020)136
Journal of High Energy Physics, 2020, vol. 2020, num. 136
https://doi.org/10.1007/JHEP05(2020)136
dc.rights.none.fl_str_mv cc-by (c) Fiol Núñez, Bartomeu et al., 2020
https://creativecommons.org/licenses/by/4.0/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv cc-by (c) Fiol Núñez, Bartomeu et al., 2020
https://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Springer Verlag
publisher.none.fl_str_mv Springer Verlag
dc.source.none.fl_str_mv Articles publicats en revistes (Física Quàntica i Astrofísica)
reponame:Dipòsit Digital de la UB
instname:Universidad de Barcelona
instname_str Universidad de Barcelona
reponame_str Dipòsit Digital de la UB
collection Dipòsit Digital de la UB
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