Direct derivation of the Veneziano-Yankielowicz superpotential from matrix model

Hikaru Kawai; Tsunehide Kuroki; Takeshi Morita; Kensuke Yoshida

doi:10.1016/j.physletb.2005.02.032

Direct derivation of the Veneziano-Yankielowicz superpotential from matrix model

High Energy Physics - Theory 2010-04-05 v3

Authors: Hikaru Kawai , Tsunehide Kuroki , Takeshi Morita , Kensuke Yoshida

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Abstract

We derive the Veneziano-Yankielowicz superpotential directly from the matrix model by fixing the measure precisely. The essential requirement here is that the effective superpotential of the matrix model corresponding to the ${\cal N}=4$ supersymmetric Yang-Mills theory vanishes except for the tree gauge kinetic term. Thus we clarify the reason why the matrix model reproduces the Veneziano-Yankielowicz superpotential correctly in the Dijkgraaf-Vafa theory.

Keywords

matrix model Veneziano-Yankielowicz superpotential Dijkgraaf-Vafa theory supersymmetric Yang-Mills theory measure

Cite

@article{arxiv.hep-th/0412216,
  title  = {Direct derivation of the Veneziano-Yankielowicz superpotential from matrix model},
  author = {Hikaru Kawai and Tsunehide Kuroki and Takeshi Morita and Kensuke Yoshida},
  journal= {arXiv preprint arXiv:hep-th/0412216},
  year   = {2010}
}

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13 pages, to appear in Phys. Lett. B

Direct derivation of the Veneziano-Yankielowicz superpotential from matrix model

Abstract

Keywords

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