CFT's from Calabi-Yau four-folds

Sergei Gukov, Cumrun Vafa, Edward Witten

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904 Scopus citations


We consider F/M/Type IIA theory compactified to four, three, or two dimensions on a Calabi-Yau four-fold, and study the behavior near an isolated singularity in the presence of appropriate fluxes and branes. We analyze the vacuum and soliton structure of these models, and show that near an isolated singularity, one often generates massless chiral superfields and a superpotential, and in many instances in two or three dimensions one obtains nontrivial superconformal field theories. In the case of two dimensions, we identify some of these theories with certain Kazama-Suzuki coset models, such as the N=2 minimal models.

Original languageEnglish (US)
Pages (from-to)69-108
Number of pages40
JournalNuclear Physics B
Issue number1-2
StatePublished - Sep 18 2000
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


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