CFT's From Calabi-Yau Four-folds

Details CFT's From Calabi-Yau Four-folds CFT's From Calabi-Yau Four-folds

1999-06-09

arxiv.org/abs/hep-th/9906070v2

Nucl.Phys.B584:69-108,2000; Erratum-ibid.B608:477-478,2001

Physics

High Energy Physics

High Energy Physics - Theory

52 pages, analysis of compactifications with (0,4) G-flux has been corrected in Appendix II, related corrections in section 2.

Scientific paper

10.1016/S0550-3213(00)00373-4

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.

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