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arXiv · hep-th/9612052

F-theory, Geometric Engineering and N=1 Dualities

M. Bershadsky·A. Johansen·T. Pantev·V. Sadov·C. Vafa
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Abstract

We consider geometric engineering of N=1 supersymmetric QFTs with matter in terms of a local model for compactification of F-theory on Calabi-Yau fourfold. By bringing 3-branes near 7-branes we engineer N=1 supersymmetric $SU(N_c)$ gauge theory with $N_f$ flavors in the fundamental. We identify the Higgs branch of this system with the instanton moduli space on the compact four dimensional space of the 7-brane worldvolume. Moreover we show that the Euclidean 3-branes wrapped around the compact part of the 7-brane worldvolume can generate superpotential for $N_f=N_c-1$ as well as lead to quantum corrections to the moduli space for $N_f=N_c$. Finally we argue that Seiberg's duality for N=1 supersymmetric QCD may be mapped to T-duality exchanging 7-branes with 3-branes.

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M. Bershadsky, A. Johansen, T. Pantev, V. Sadov, C. Vafa. 1996-12-04. F-theory, Geometric Engineering and N=1 Dualities. https://doi.org/10.1016/s0550-3213(97)00392-1

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