Comments on effective superpotentials via matrix models

Hiroyuki Fuji, Yutaka Ookouchi

Research output: Contribution to journalArticlepeer-review

30 Citations (Scopus)


Dijkgraaf and Vafa have conjectured that the effective superpotentials for N = 1 four-dimensional supersymmetric gauge theories can be given by the planar diagrams of matrix models. We examine some special models with cubic and quartic tree level superpotentials for adjoint chiral superfield Φ. We consider the effective superpotentials for the classical vacuum Φ = 0 for U(N) and SO(N)/Sp(N) gauge theories. We evaluate the effective superpotentials exactly in terms of the matrix model and in terms of closed string theory on Calabi-Yau geometry with fluxes. As a result we find their perfect agreements.

Original languageEnglish
Pages (from-to)1483-1497
Number of pages15
JournalJournal of High Energy Physics
Issue number12
Publication statusPublished - Dec 1 2002
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


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