Strings in bubbling geometries and dual wilson loop correlators

We consider a fundamental string in a bubbling geometry of arbitrary genus dual to a half-supersymmetric Wilson loop in a general large representation R of the SU(N) gauge group in N = 4 Supersymmetric Yang-Mills. We demonstrate, under some mild conditions, that the minimum value of the string class...

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Detalles Bibliográficos
Autores: Aguilera Damia, Jeremías, Correa, Diego Hernán, Fucito, Francesco, Giraldo Rivera, Victor I., Morales, Jose F., Pando Zaya, Leopoldo A.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2017
País:Argentina
Institución:Universidad Nacional de La Plata
Repositorio:SEDICI (UNLP)
Idioma:inglés
OAI Identifier:oai:sedici.unlp.edu.ar:10915/77776
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/77776
Access Level:acceso abierto
Palabra clave:Física
gauge-gravity correspondence
matrix models
supersymmetric gauge theory
't Hooft and Oolyakov loops
Wilson
Descripción
Sumario:We consider a fundamental string in a bubbling geometry of arbitrary genus dual to a half-supersymmetric Wilson loop in a general large representation R of the SU(N) gauge group in N = 4 Supersymmetric Yang-Mills. We demonstrate, under some mild conditions, that the minimum value of the string classical action for a bubbling geometry of arbitrary genus precisely matches the correlator of a Wilson loop in the fundamental representation and one in a general large representation. We work out the case in which the large representation is given by a rectangular Young tableau, corresponding to a genus one bubbling geometry, explicitly. We also present explicit results in the field theory for a correlator of two Wilson loops: a large one in an arbitrary representation and a “small” one in the fundamental, totally symmetric or totally antisymmetric representation.