Exact Superpotentials for Theories with Flavors via a Matrix Integral

Details Exact Superpotentials for Theories with Flavors via a Matrix Integral Exact Superpotentials for Theories with Flavors via a Matrix Integral

2002-10-30

arxiv.org/abs/hep-th/0210291v3

Phys.Rev.D67:065005,2003

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, v2: typos involving signs fixed; v3: version to appear in Phys.Rev.D

Scientific paper

10.1103/PhysRevD.67.065005

We extend and test the method of Dijkgraaf and Vafa for computing the superpotential of N=1 theories to include flavors in the fundamental representation of the gauge group. This amounts to computing the contribution to the superpotential from surfaces with one boundary in the matrix integral. We compute exactly the effective superpotential for the case of gauge group U(N_c), N_f massive flavor chiral multiplets in the fundamental and one massive chiral multiplet in the adjoint, together with a Yukawa coupling. We compare up to sixth-order with the result obtained by standard field theory techniques in the already non trivial case of N_c=2 and N_f=1. The agreement is perfect.

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