Abstract
We propose 5-brane webs for 5d \( \mathcal{N} \) = 1 G2 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 G2 gauge theory using an O5-plane or an \( \tilde{\mathrm{O}5} \)-plane. Adding flavors to the 5-brane web for the pure G2 gauge theory is also discussed. Based on the obtained 5-brane webs, we compute the partition functions for the 5d G2 gauge theories using the recently suggested topological vertex formulation with an O5-plane, and we find agreement with known results.
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Hayashi, H., Kim, SS., Lee, K. et al. 5-brane webs for 5d \( \mathcal{N} \) = 1 G2 gauge theories. J. High Energ. Phys. 2018, 125 (2018). https://doi.org/10.1007/JHEP03(2018)125
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DOI: https://doi.org/10.1007/JHEP03(2018)125