The holomorphic tension of non-Abelian vortices

We continue the work hep-th/0411075 considering here the case of degenerate masses. A non-Abelian vortex arises in r-vacua upon the breaking by a superpotential for the adjoint field. We find the BPS tension in the strong coupling regime computing the dual-quark condensate. Then we find that it is equal to a simple quantity in the chiral ring of the theory and so we conjecture the validity of our result out of the strong coupling regime. Our result gives an interesting hint about the duality r↔Nf−r, seeing it as the exchange first ↔ second sheet of N=1 Riemann surface.