Strings in bubbling geometries and dual wilson loop correlators

• Autores: Aguilera Damia, Jeremías; Correa, Diego Hernán; Fucito, Francesco; Giraldo Rivera, Victor I.; Morales, Jose F.; Pando Zaya, Leopoldo A.
• Año de publicación: 2017
• Idioma: inglés
• Tipo de recurso: artículo
• Materia: Física; gauge-gravity correspondence; matrix models; supersymmetric gauge theory; 't Hooft and Oolyakov loops; Wilson
• Institución: Universidad Nacional de La Plata

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.
Facultad de Ciencias Exactas