Exact superpotentials in N=1 theories with flavor and their matrix model formulation

Details Exact superpotentials in N=1 theories with flavor and their matrix model formulation Exact superpotentials in N=1 theories with flavor and their matrix model formulation

2002-11-08

arxiv.org/abs/hep-th/0211075v2

Phys.Lett.B555:117-125,2003

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, Latex; v2: Typos, references, presentation improved

Scientific paper

10.1016/S0370-2693(03)00034-0

In this note we investigate the effective superpotential of an N=1 SU(N_c) gauge theory with one adjoint chiral multiplet and N_f fundamental chiral multiplets. We propose a matrix model prescription in which only matrix model diagrams with less than two boundaries contribute to the gauge theory effective superpotential. This prescription reproduces exactly the known gauge theory physics for all N_f and $N_c$. For N_f < N_c this is given by the Affleck-Dine-Seiberg superpotential. For N_f > N_c we present arguments leading to the conclusion that the dynamics of these theories is also reproduced by the matrix model.

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