Wilson loops beyond the planar limit in the ADS/CFT correspondence.

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dc.contributor.advisorKoch, Benjamin
dc.contributor.authorCanazas Garay, Anthonny Freddy
dc.contributor.otherPontificia Universidad Católica de Chile. Facultad de Física
dc.date.accessioned2019-12-19T18:55:40Z
dc.date.available2019-12-19T18:55:40Z
dc.date.issued2019
dc.descriptionTesis (Magíster en Física)--Pontificia Universidad Católica de Chile, 2019
dc.description.abstractMotivated by the AdS/CFT correspondence, the vacuum expectation values of 1/2-BPS circular Wilson loops in N = 4 super Yang-Mills theory are considered. Localization and matrix model techniques provide exact, but rather formal, expressions for these expectation values. In this thesis, the leading and sub-leading behavior in a 1/N expansion with fixed ’t Hooft coupling, and then in the holographic regime, are extracted starting from these exact results. This is done by exploiting the relation between the generating function of antisymmetric Wilson loops and a finite-dimensional quantum system known as the truncated harmonic oscillator. The generating functions for the Wilson loops in the symmetric and antisymmetric representations of the gauge group U(N) are expressed in terms of the connected correlators of multiply-wound Wilson loops, which have a 1/N2 genus expansion, using ingredients from the representation theory of the symmetric group. Interesting conclusions on the gravity side of the correspondence are provided.
dc.format.extentiv, 82 páginas
dc.identifier.doi10.7764/tesisUC/FIS/27035
dc.identifier.urihttps://doi.org/10.7764/tesisUC/FIS/27035
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/27035
dc.language.isoen
dc.nota.accesoContenido completo
dc.rightsacceso abierto
dc.subject.ddc530.1435
dc.subject.deweyMatemática física y químicaes_ES
dc.subject.otherCampos de calibre (Física)es_ES
dc.subject.otherSupergravitaciónes_ES
dc.titleWilson loops beyond the planar limit in the ADS/CFT correspondence.es_ES
dc.typetesis de maestría
sipa.codpersvinculados1006903
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