Notes on hyperloops in N = 4 Chern-Simons-matter theories

Nadav Drukker, Marcia Tenser, Diego Trancanelli*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)


Abstract: We present new circular Wilson loops in three-dimensional N = 4 quiver Chern-Simons-matter theory on S3. At any given node of the quiver, a two-parameter family of operators can be obtained by opportunely deforming the 1/4 BPS Gaiotto-Yin loop. Including then adjacent nodes, the coupling to the bifundamental matter fields allows to enlarge this family and to construct loop operators based on superconnections. We discuss their classification, which depends on both discrete data and continuous parameters subject to an identification. The resulting moduli spaces are conical manifolds, similar to the conifold of the 1/6 BPS loops of the ABJ(M) theory.
Original languageEnglish
Article number159
JournalJournal of High Energy Physics
Issue number7
Early online date21 Jul 2021
Publication statusPublished - Jul 2021


  • Chern-Simons Theories
  • Supersymmetric Gauge Theory
  • Wilson, ‘t Hooft and Polyakov loops


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