Chiral rings and phases of supersymmetric gauge theories

Freddy Cachazo, Nathan Seiberg, Edward Witten

Research output: Contribution to journalArticlepeer-review

98 Scopus citations


We solve for the expectation values of chiral operators in supersymmetric U (N) gauge theories with matter in the adjoint, fundamental and anti-fundamental representations. A simple geometric picture emerges involving a description by a meromorphic one-form on a Riemann surface. The equations of motion are equivalent to a condition on the integrality of periods of this form. The solution indicates that all semiclassical phases with the same number of U(1) factors are continuously connected.

Original languageEnglish (US)
Pages (from-to)375-420
Number of pages46
JournalJournal of High Energy Physics
Issue number4
StatePublished - Apr 1 2003
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


  • Confinement
  • Duality in Gauge Field Theories
  • Nonperturbative Effects
  • Supersymmetry and Duality


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