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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Detalles Bibliográficos
Autores principales: David, Marina, León Ardón, Rodrigo de, Faraggi, Alberto, Pando Zayas, Leopoldo A., Silva, Guillermo Ariel
Formato: Articulo
Lenguaje:Inglés
Publicado: 2019
Materias:
Ciencias Exactas
Física
AdS-CFT Correspondence
Wilson
’t Hooft and Polyakov loops
Supersymmetric Gauge Theory
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/124166
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
Descripción
Sumario: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.

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