New instanton effects in supersymmetric QCD

Chris Beasley, Edward Witten

Research output: Contribution to journalArticlepeer-review

38 Scopus citations


In supersymmetric QCD with SU(Nc) gauge group and Nf flavors, it is known that instantons generate a superpotential if Nf = Nc -1 and deform the moduli space of vacua if Nf = Nc. But the role of instantons has been unclear for Nf > Nc. In this paper, we demonstrate that for Nf > Nc, on the moduli space of vacua, instantons generate a more subtle chiral operator containing (for example) non-derivative interactions of 2(N f-Nc) + 4 fermions. Upon giving masses to some flavors, one can integrate out some fermions and recover the standard results for N f = Nc and Nf = Nc -1. For N f = Nc, our analysis gives, in a sense, a more systematic way to demonstrate that instantons deform the complex structure of the moduli space of vacua.

Original languageEnglish (US)
Pages (from-to)1297-1331
Number of pages35
JournalJournal of High Energy Physics
Issue number1
StatePublished - Jan 2005
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


  • QCD
  • Solitons Monopoles and Instantons
  • Supersymmetric Effective Theories
  • Supersymmetry and Duality


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