English

Super Yang-Mills With Flavors From Large N_f Matrix Models

High Energy Physics - Theory 2014-11-18 v4

Abstract

We consider the exact effective superpotential of N=1 U(N_c) super Yang-Mills theory with N_f massive flavors an additional adjoint Higgs field. We use the proposal of Dijkgraaf and Vafa to calculate the superpotential in terms of a matrix model with a large number of flavors. We do this by gauging the flavor symmetry and forcing this sector in a classical vacuum. This gives rise to a 2-matrix model of ADE type A_2, and large flavors. This approach allows us to add an arbitrary polynomial tree level superpotential for the Higgs field, and use strict large N methods in the matrix model.

Cite

@article{arxiv.hep-th/0212095,
  title  = {Super Yang-Mills With Flavors From Large N_f Matrix Models},
  author = {Christiaan Hofman},
  journal= {arXiv preprint arXiv:hep-th/0212095},
  year   = {2014}
}

Comments

17 p. LaTeX, 17 p. v2: ref added, typos corrected. v3: typos corrected. v4: typos corrected, extended discussion on classical solutions