2025/10/17 by Sung-Soo Kim, Xiaobin Li, Kim, Sung-Soo +5 · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology #Noncommutative and Quantum Gravity Theories
paper · pdf · doi:10.48550/arxiv.2510.15662
openalex publication_date 2025/10/17 · openalex created_date 2025/10/21 · openalex updated_date 2026/07/28
We propose a novel topological vertex formalism for 5d N=1 SU(N) gauge theory with a hypermultiplet in the symmetric tensor representation, whose Type IIB brane construction involves an NS5-brane attached to an O7+-plane. Inspired by the identification O7+∼ ℤ2 + 4 D7, we introduce two new types of vertices: the ℤ2-vertex, which implements the ℤ2 orbifold action, and the FD-vertex, which encodes the monodromy cut induced by the O7+-plane. This formalism generalizes the framework presented in arXiv:2412.19655 and establishes a systematic method for computing partition functions for 5-brane configurations that incorporate an O7+-plane. The resulting partition functions are expressed as sums over Young diagrams, providing a powerful computational tool for studying such gauge theories.