From algebraic curve to minimal surface and back

Michael Cooke*, Nadav Drukker

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


We derive the Lax operator for a very large family of classical minimal surface solutions in AdS3 describing Wilson loops in N = 4 SYM theory. These solutions, constructed by Ishizeki, Kruczenski and Ziama, are associated with a hyperelliptic surface of odd genus. We verify that the algebraic curve derived from the Lax operator is indeed none-other than this hyperelliptic surface.

Original languageEnglish
Article number90
Number of pages19
JournalJournal of High Energy Physics
Issue number2
Publication statusPublished - 13 Feb 2015


  • AdS-CFT Correspondence
  • Integrable Field Theories
  • Wilson
  • ’t Hooft and Polyakov loops


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