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arXiv · hep-th/0105225

Mirror Symmetry and a $G_2$ Flop

Mina Aganagic·Cumrun Vafa
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Abstract

By applying mirror symmetry to D-branes in a Calabi-Yau geometry we shed light on a $G_2$ flop in M-theory relevant for large $N$ dualities in ${\cal N}=1$ supersymmetric gauge theories. Furthermore, we derive superpotential for M-theory on corresponding $G_2$ manifolds for all A-D-E cases. This provides an effective method for geometric engineering of ${\cal N}=1$ gauge theories for which mirror symmetry gives exact information about vacuum geometry. We also find a number of interesting dual descriptions.

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Mina Aganagic, Cumrun Vafa. 2001-06-13. Mirror Symmetry and a $G_2$ Flop. https://doi.org/10.1088/1126-6708%2F2003%2F05%2F061

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