One-loop Holography with Strings in AdS₄ × CP³

We compute the one-loop effective action of string configurations embedded in AdS₄ × CP³ which are dual to ⅙-BPS latitude Wilson Loops in the ABJM theory. To avoid ambiguities in the string path integral we subtract the ½-BPS case. The one-loop determinants are computed by Fourier-decomposing the tw...

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Detalhes bibliográficos
Autores: David, Marina, León Ardón, Rodrigo de, Faraggi, Alberto, Pando Zayas, Leopoldo A., Silva, Guillermo Ariel
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2019
País:Argentina
Recursos:Universidad Nacional de La Plata
Repositorio:SEDICI (UNLP)
Idioma:inglés
OAI Identifier:oai:sedici.unlp.edu.ar:10915/124166
Acesso em linha:http://sedici.unlp.edu.ar/handle/10915/124166
Access Level:acceso abierto
Palavra-chave:Ciencias Exactas
Física
AdS-CFT Correspondence
Wilson
’t Hooft and Polyakov loops
Supersymmetric Gauge Theory
Descrição
Resumo:We compute the one-loop effective action of string configurations embedded in AdS₄ × CP³ which are dual to ⅙-BPS latitude Wilson Loops in the ABJM theory. To avoid ambiguities in the string path integral we subtract the ½-BPS case. The one-loop determinants are computed by Fourier-decomposing the two dimensional operators and then using the Gel'fand-Yaglom method. We comment on various aspects related to the regularization procedure, showing the cancellation of a hierarchy of divergences. After taking into account an IR anomaly from a change in topology, we find a precise agreement with the field theory result known from supersymmetric localization.