Aspects of holographic Wilson loops

• Ano de defesa: 2019
• Autor(a) principal: Romero, José Renato Sánchez
• Tipo de documento: Tese
• Tipo de acesso: Acesso aberto
• Idioma: eng
• Instituição de defesa: Biblioteca Digitais de Teses e Dissertações da USP
• Palavras-chave em Português: ação DBI nãoabeliana; AdS/CFT correspondence; Correspondência AdS/CFT; Gross-Ooguri phase transition.; laços de Wilson; nonabelian DBI; transição de Gross-Ooguri.; Wilson loops
• Link de acesso: https://www.teses.usp.br/teses/disponiveis/43/43134/tde-22102019-153151/

In this thesis we study some aspects of the AdS/CFT correspondence. In particular those involving observables that can be computed exactly, as Wilson loops. The gauge/gravity correspondence or AdS/CFT allows us to interpret two different theories with the same global symmetries as complementary descriptions of the same physics. The expectation values of Wilson loops in several representations can be calculated on both sides of the duality by using localization in the gauge theory and strings and branes on the gravity side. From the holographic point of view, the general recipe tells us that we have to minimize the string worldsheet or brane worldvolume with the loop as boundary. These techniques, already applied to the fundamental and (anti)symmetric reprentations of the Wilson loops, can be extended to more complicated reprentations whose duals are coincident branes and bubbling geometries. An interesting phenomenom also is that in which we consider two loops, that on the gravity side translate into the connected catenoid-like solution. The existence of connected solutions between two loops depends on the values of several parameters that describe the geometry and relative position between the loops. Here, due to these parameters, exists a transition knows as Gross-Ooguri, in which the connceted solution becomes energetically non-favorable with respect to the disconnected solution, i.e. two independent loops. Much more interesting and rich is the case of two Wilson loops in the presence of defects, i.e. interfase regions due to the presence of, in this case, a D5 brane. We also study the correlator of two Wilson loops in this case.