2017/09/30 by Jeremías Aguilera-Damia, Diego H. Correa, Francesco Fucito +3
Mathematics · Physics and Astronomy · #Antisymmetric relation #Black Holes and Theoretical Physics #Gauge theory #Genus #Geometric Analysis and Curvature Flows #Loop (graph theory) #Quantum Chromodynamics and Particle Interactions #Representation (politics) #String (physics) #String theory #Wilson loop #hep-th
paper · pdf · doi:10.1007/jhep12(2017)109
40 pages + appendices, 9 figures, A new discussion of WL correlators using the product of characters formula, two new figures added. Typos fixed. Version that matches the published article
openalex created_date 2017/09/25 · openalex publication_date 2017/12/01 · arxiv created 2017/12/22 · arxiv updated 2017/12/25 · openalex updated_date 2026/08/05
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.