Geometric engineering of N = 1 quantum field theories

Sheldon Katz, Cumrun Vafa

Research output: Contribution to journalArticlepeer-review


We construct a local geometric model in terms of F-and M-theory compactification on Calabi-Yau 4-folds which lead to N = 1 Yang-Mills theory in d = 4 and its reduction on a circle to d = 3. We compute the superpotential in d = 3, as a function of radius, which is generated by the Euclidean 5-brane instantons. The superpotential turns out to be the same as the potential for affine Toda theories. In the limit of vanishing radius the affine Toda potential reduces to the Toda potential.

Original languageEnglish (US)
Pages (from-to)196-204
Number of pages9
JournalNuclear Physics B
Issue number1-2
StatePublished - Jul 21 1997
Externally publishedYes

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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