Comments on $SO/Sp$ Gauge Theories from Brane Configurations with an O6 Plane

TL;DR

This paper employs M theory with an O6 orientifold to analyze the moduli space of vacua in N=1 supersymmetric SO/Sp gauge theories, generalizing previous results and deriving the most comprehensive form of the rotated curve for massive matter.

Contribution

It introduces a new M theory approach with an O6 plane to understand vacua moduli space, extending previous O4-based results and deriving a general rotated curve for massive matter.

Findings

Reproduces known results using O6 orientifold.

Derives the most general rotated curve for massive matter.

Provides insights into the moduli space structure.

Abstract

We use the M theory approach in the presence of an orientifold O6 plane to understand some aspects of the moduli space of vacua for N=1 supersymmetric $SO(N_c)/Sp(N_c)$ gauge theories in four dimensions. By exploiting some general properties of the O6 orientifold, we reproduce some results obtained previously with an orientifold O4 plane when the flavor group arises from the worldvolume dynamics of D6 branes. By using semi-infinite D4 branes instead of D6 branes, we derive the most general form of the rotated curve describing the moduli space of vacua for N=1 supersymmetric gauge theory with massive matter.