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

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

1997-06-17

arxiv.org/abs/hep-th/9706127v2

Phys.Lett. B410 (1997) 27-35

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, latex, minor corrections with added reference

Scientific paper

10.1016/S0370-2693(97)00975-1

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.

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