All-genus calculation of Wilson loops using D-branes

2005/01/31 by Nadav Drukker, Bartomeu Fiol · 9 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.1088/1126-6708/2005/02/010

published as JHEP0502:010,2005 · 29 pages, LeTeX, one colour figure. v2: citation corrected. v3: minor typo

openalex publication_date 2005/02/05 · arxiv created 2005/02/10 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/29

Abstract

The standard prescription for calculating a Wilson loop in the AdS/CFT correspondence is by a string world-sheet ending along the loop at the boundary of AdS. For a multiply wrapped Wilson loop this leads to many coincident strings, which may interact among themselves. In such cases a better description of the system is in terms of a D3-brane carrying electric flux. We find such solutions for the single straight line and the circular loop. The action agrees with the string calculation at small coupling and in addition captures all the higher genus corrections at leading order in alpha'. The resulting expression is in remarkable agreement with that found from a zero dimensional Gaussian matrix model.

Citations

• An exact prediction of N=4 supersymmetric Yang–Mills theory for string theory
• SUSY and Goliath

Cited by

• Matching the circular Wilson loop with dual open string solution at 1-loop in strong coupling
• Anomalous Dimensions from a Spinning D5-Brane
• Operator product expansion of higher rank Wilson loops from D-branes and matrix models
• Deformation of half-BPS solution in ABJM model and instability of supermembrane
• Dyonic D3-branes
• Holographic duals of long open strings
• Operator with large spin and spinning D3-brane
• Quantum broadening of k-strings from the AdS/CFT correspondence
• On the integrability of Wilson loops inAdS5×S5: some periodic ansatze