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arXiv:1801.03916 [hep-th]AbstractReferencesReviewsResources

5-brane webs for 5d $\mathcal{N}=1~ G_2$ gauge theories

Hirotaka Hayashi, Sung-Soo Kim, Kimyeong Lee, Futoshi Yagi

Published 2018-01-11Version 1

We propose 5-brane webs for 5d $\mathcal{N}=1~G_2$ gauge theories. From a Higgsing of the $SO(7)$ gauge theory with a hypermultiplet in the spinor representation, we construct two types of 5-brane web configurations for the pure $G_2$ gauge theory using an O5-plane or an $\widetilde{\text{O5}}$-plane. Adding flavors to the 5-brane web for the pure $G_2$ gauge theory is also discussed. Based on the obtained 5-brane webs, we compute the partition functions for the 5d $G_2$ gauge theories using the recently suggested topological vertex formulation with an O5-plane, and we find agreement with known results.

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