More on N=1 Matrix Model Curve for Arbitrary N

TL;DR

This paper extends the matrix model curve analysis for N=1 supersymmetric SO(N)/USp(2N) gauge theories with polynomial superpotentials, covering arbitrary N and including degenerated branches, using both matrix model and strong-coupling methods.

Contribution

It provides a general matrix model curve valid for any N, including degenerated branches, and applies the approach to theories with equal massive flavors, extending previous strong-coupling results.

Findings

Derived the matrix model curve for arbitrary N.

Analyzed intersections of non-degenerated branches.

Extended results to theories with equal massive flavors.

Abstract

Using both the matrix model prescription and the strong-coupling approach, we describe the intersections of n=0 and n=1 non-degenerated branches for quartic (polynomial of adjoint matter) tree-level superpotential in N=1 supersymmetric SO(N)/USp(2N) gauge theories with massless flavors. We also apply the method to the degenerated branch. The general matrix model curve on the two cases we obtain is valid for arbitrary N and extends the previous work from strong-coupling approach. For SO(N) gauge theory with equal massive flavors, we also obtain the matrix model curve on the degenerated branch for arbitrary N. Finally we discuss on the intersections of n=0 and n=1 non-degenerated branches for equal massive flavors.