Topological vertex for 6d SCFTs with $\mathbb{Z}_2$-twist

4 Jan 2021  ·  Hee-Cheol Kim, Minsung Kim, Sung-Soo Kim ·

We compute the partition function for 6d $\mathcal{N}=1$ $SO(2N)$ gauge theories compactified on a circle with $\mathbb{Z}_2$ 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 $\mathbb{Z}_2$ twist. We confirm that these partition functions obtained from the topological vertex with O5-planes indeed agree with the elliptic genus computations.

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High Energy Physics - Theory