Supersymmetric Wilson loops on S 3

Nadav Drukker, Simone Giombi, Riccardo Ricci, Diego Trancanelli

Research output: Contribution to journalArticlepeer-review

125 Scopus citations


This paper studies in great detail a family of supersymmetric Wilson loop operators in = 4 supersymmetric Yang-Mills theory we have recently found. For a generic curve on an S 3 in space-time the loops preserve two supercharges but we will also study special cases which preserve 4, 8 and 16 supercharges. For certain loops we find the string theory dual explicitly and for the general case we show that string solutions satisfy a first order differential equation. This equation expresses the fact that the strings are pseudo-holomorphic with respect to a novel almost complex structure we construct on AdS 4 × S 2. We then discuss loops restricted to S 2 and provide evidence that they can be calculated in terms of similar observables in purely bosonic YM in two dimensions on the sphere.

Original languageEnglish (US)
Article number017
JournalJournal of High Energy Physics
Issue number5
StatePublished - May 1 2008
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


  • AdS-CFT correspondence
  • Field theories in lower dimensions
  • Strong coupling expansion
  • Supersymmetric gauge theory


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