Work

Elliptical Wilson loops in N = 4 Super Yang-Mills theory

Year: 2025

Type: article

Abstract: We investigate elliptical Wilson loops in N = 4 Super Yang–Mills theory at weak and strong coupling for small values of the eccentricity. We obtain analytical results for the vacuum expectation value of the Wilson loop in the form of a series in the eccentricity parameter. At weak coupling, we use perturbation theory in N = 4 Super Yang–Mills. At strong coupling, we use the AdS/CFT correspondence, which maps the Wilson loop to the minimal-area world sheet of an open string in anti–de Sitter (AdS) space. We present a novel perturbative method to solve the Nambu–Goto equations allowing us to describe the minimal surface in terms of a coordinate parametrization in Euclidean AdS 3 . Our results for the regularized area agree with those obtained by Dekel [.] based on the Polyakov action.

Source: Physical review. D/Physical review. D.

DOI: 10.1103/53y8-72hr

Authors: Thales Azevedo, Alfonso Ballon-Bayona, Leonardo Pazito

Institutions: Universidade Federal do Rio de Janeiro, FZU - Institute of Physics of the Czech Academy of Sciences

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Funders: Ministerstvo Školství, Mládeže a Tělovýchovy, Coordenação de Aperfeiçoamento de Pessoal de Nível Superior, Conselho Nacional de Desenvolvimento Científico e Tecnológico

Awards: G6547265868, G698819318