Mirror Symmetry and a $G_2$ Flop
High Energy Physics - Theory
2009-11-07 v2
Abstract
By applying mirror symmetry to D-branes in a Calabi-Yau geometry we shed light on a flop in M-theory relevant for large dualities in supersymmetric gauge theories. Furthermore, we derive superpotential for M-theory on corresponding manifolds for all A-D-E cases. This provides an effective method for geometric engineering of gauge theories for which mirror symmetry gives exact information about vacuum geometry. We also find a number of interesting dual descriptions.
Cite
@article{arxiv.hep-th/0105225,
title = {Mirror Symmetry and a $G_2$ Flop},
author = {Mina Aganagic and Cumrun Vafa},
journal= {arXiv preprint arXiv:hep-th/0105225},
year = {2009}
}
Comments
Identification of parameters as well as the computation of the superpotential is extended to all A-D-E cases. Additional references are also included