Effective superpotential for U(N) with antisymmetric matter
arXiv:hep-th/0406253 · doi:10.1088/1126-6708/2004/09/031
Abstract
We consider an N=1 U(N) gauge theory with matter in the antisymmetric representation and its conjugate, with a tree level superpotential containing at least quartic interactions for these fields. We obtain the effective glueball superpotential in the classically unbroken case, and show that it has a non-trivial N-dependence which does not factorize. We also recover additional contributions starting at order S^N from the dynamics of Sp(0) factors. This can also be understood by a precise map of this theory to an Sp(2N-2) gauge theory with antisymmetric matter.
22 pages. v2: comment (and a reference) added at the end of section 2 on low rank cases; minor typos corrected. v3: 2 footnotes added with additional clarifications; version to appear in journal