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.
All Science Journal Classification (ASJC) codes
- Nuclear and High Energy Physics
- Solitons Monopoles and Instantons
- Supersymmetric Effective Theories
- Supersymmetry and Duality