Chiral ring of Sp(N) and SO(N) supersymmetric gauge theory in four dimensions

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The chiral ring of classical supersymmetric Yang-Mills theory with gauge group Sp(N) or SO (N) is computed, extending previous work (of Cachazo, Douglas, Seiberg, and the author) for SU(N). The result is that, as has been conjectured, the ring is generated by the usual glueball superfield S ∼ Tr WαWα with the relation Sh = 0, h being the dual Coxeter number. Though this proposition has important implications for the behavior of the quantum theory, the statement and (for the most part) the proofs amount to assertions about Lie groups with no direct reference to gauge theory.

Original languageEnglish (US)
Pages (from-to)403-414
Number of pages12
JournalChinese Annals of Mathematics. Series B
Issue number4
StatePublished - 2003
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • General Mathematics
  • Applied Mathematics


  • Chiral ring
  • Gauge group
  • Lie group
  • Supersymmetric gauge theory


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