5-brane webs for 5d N $$ \mathcal{N} $$ = 1 G 2 gauge theories

Abstract We propose 5-brane webs for 5d N $$ \mathcal{N} $$ = 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 O 5 ˜ $$ \tilde{\mathrm{O}5} $$ -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.

Abstract licence: CC BY

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