Strings in bubbling geometries and dual Wilson loop correlators

• Published in: The journal of high energy physics Vol. 2017; no. 12; pp. 1 - 42
• Main Authors: Aguilera-Damia, Jeremías, Correa, Diego H., Fucito, Francesco, Giraldo-Rivera, Victor I., Morales, Jose F., Pando Zayas, Leopoldo A.
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2017; Springer Nature B.V; Springer Berlin; SpringerOpen
• Subjects: ASTRONOMY AND ASTROPHYSICS; Bubbling; Classical and Quantum Gravitation; Correlation; Correlators; Elementary Particles; Field theory; Gauge-gravity correspondence; Geometry; High energy physics; Matrix Models; Physics; Physics and Astronomy; PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Regular Article - Theoretical Physics; Relativity Theory; Representations; String Theory; Strings; Supersymmetric Gauge Theory; Supersymmetry; Wilson,’t Hooft and Polyakov loops; Gauge-gravity correspondence; Wilson,’t Hooft and Polyakov loops; Matrix Models; Supersymmetric Gauge Theory
• ISSN: 1029-8479; 1029-8479
• DOI: 10.1007/JHEP12(2017)109

A bstract 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.