Strings in bubbling geometries and dual Wilson loop correlators

AGUILERA-DAMIA, JEREMÍAS; GIRALDO-RIVERA, VICTOR I.; CORREA, DIEGO H.; MORALES, JOSE F.; FUCITO, FRANCESCO; PANDO ZAYAS, LEOPOLDO A.

JOURNAL OF HIGH ENERGY PHYSICS

SPRINGER

Año: 2017 vol. 2017

1126-6708

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.