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

Abstract

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.

v1: 42 pages, 20 figures; v2: typos corrected; v3: typos corrected

References in corpus (2)

• The Refined Topological Vertex
• Discrete theta angle from an O5-plane

Cited by in corpus (9)

• Bootstrapping BPS spectra of 5d/6d field theories
• Quantum toroidal algebras and solvable structures in gauge/string theory
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• Elliptic Quantum Curves of 6d SO(N) theories
• Refined topological vertex with ON-planes
• 6d/5d exceptional gauge theories from web diagrams
• Instantons on Young diagrams with matters
• $DE$-type little strings from glued brane webs
• O-vertex, O7${}^{+}$-plane, and Topological Vertex