On Exact Superpotentials, Free Energies and Matrix Models

Details On Exact Superpotentials, Free Energies and Matrix Models On Exact Superpotentials, Free Energies and Matrix Models

2004-01-15

arxiv.org/abs/hep-th/0401101v3

JHEP 0402:038,2004

Physics

High Energy Physics

High Energy Physics - Theory

14 pages; v2: typos corrected; v3: the scheme for computing exact superpotentials including both the Veneziano-Yankielowicz te

Scientific paper

10.1088/1126-6708/2004/02/038

We discuss exact results for the full nonperturbative effective superpotentials of four dimensional $\mathcal{N}=1$ supersymmetric U(N) gauge theories with additional chiral superfield in the adjoint representation and the free energies of the related zero dimensional bosonic matrix models with polynomial potentials in the planar limit using the Dijkgraaf-Vafa matrix model prescription and integrating in and out. The exact effective superpotentials are produced including the leading Veneziano-Yankielowicz term directly from the matrix models. We also discuss how to use integrating in and out as a tool to do random matrix integrals in the large $N$ limit.

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