Seiberg's duality is usually considered as a duality for SU(Nc) theories with Nf flavors. In his case, the vacuum for Nf≥Nc is parameterized by mesons M and baryons ˉB and B. For example when Nf=Nc the quantum constraint is
detM−ˉBB=ΛN
If we consider gauge group to be U(Nc) thinking of it as gauging the baryon symmetry of the theory, we can still form gauge invariant operators ˉBB. However single baryons is not gauge invariant.
Does such baryon ˉBB still exists in the vacuum moduli space? There seems to be contradiction in the literature:
In this paper, they considered such operators: http://arxiv.org/pdf/0705.3811v2.pdf
However in the paper of Seiberg, this operator is excluded in the chiral ring: http://arxiv.org/pdf/hep-th/0212225.pdf
Which one is actually correct?