Topological vertex for 6d SCFTs with ℤ2-twist

A bstract

We compute the partition function for 6d \[ \mathcal{N} \] = 1 SO(2 N) gauge theories compactified on a circle with ℤ ₂ outer automorphism twist. We perform the computation based on 5-brane webs with two O5-planes using topological vertex with two O5-planes. As representative examples, we consider 6d SO(8) and SU(3) gauge theories with ℤ ₂ twist. We confirm that these partition functions obtained from the topological vertex with O5-planes indeed agree with the elliptic genus computations.