Comments on the M Theory Approach to N=1 SQCD and Brane Dynamics

TL;DR

This paper uses M theory to analyze N=1 SQCD with flavors, reproduces known field theory results, and explores brane stability and interactions, providing insights into the non-perturbative dynamics of the theory.

Contribution

It applies M theory techniques to reproduce and extend results on N=1 SQCD, including gluino condensates, meson eigenvalues, and brane stability analysis.

Findings

Reproduces field theoretical results within M theory framework.

Identifies the gluino condensate and meson eigenvalues in M theory.

Shows no force between static D4-branes in supersymmetric configurations.

Abstract

We use the M theory approach of Witten to investigate N=1 SU($N_c$) SQCD with $N_f$ flavors. We reproduce the field theoretical results and identify in M theory the gluino condensate and the eigenvalues of the meson matrix. This approach allows us to identify the constant piece of the effective field theory coupling from which the coefficient of the one-loop $\beta$-function can be identified. By studying the area of the M-theory five-brane we investigate the stability of type IIA brane configurations. We prove that in a supersymmetric setup there is no force between static D4-branes that end on NS five-branes. The force in the case that there is a relative velocity between the branes is computed. We show that at the regions of intersecting IIA branes the curvature of the M theory five-brane is singular in the type IIA limit.