2003/12/07 by Kristian D. Kennaway, Nicholas P. Warner
Physics and Astronomy · #hep-th
published as Adv.Theor.Math.Phys. 8 (2004) 141-175 · 22 pages, LaTeX2e
arxiv created 2003/12/07 · arxiv updated 2009/12/01
We consider the effective superpotentials of N=1 SU(Nc) and U(Nc) supersymmetric gauge theories that are obtained from the N=2 theory by adding a tree-level superpotential. We show that several of the techniques for computing the effective superpotential are implicitly regularized by 2Nc massive fundamental quarks, i.e. the theory is embedded in the finite theory with nontrivial UV fixed point. In order to study N=1 and N=2 theories with fundamentals, we explicitly factorize the Seiberg-Witten curve for Nf != 0 and compare to the known form of the N=1 superpotential. N=2 gauge theories have an underlying integrable structure, and we obtain results on a new Lax matrix for Nf = Nc.