2018/01/10 by Hee‐Cheol Kim, Hee-Cheol Kim, Joonho Kim +3
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Combinatorics #Cosmology and Gravitation Theories #Coulomb #Gauge theory #Graph #Instanton #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Quantum mechanics #Spinor #Supersymmetric gauge theory #Theoretical physics #Vertex (graph theory) #hep-th
paper · pdf · doi:10.1103/physrevd.103.025012
published as Phys. Rev. D 103, 025012 (2021) · 65 pages, 25 figures
arxiv created 2018/01/10 · openalex publication_date 2021/01/12 · arxiv updated 2021/01/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
We propose new ADHM-like methods to compute the Coulomb branch instanton partition functions of 5D and 6D supersymmetric gauge theories, with certain exceptional gauge groups or exceptional matters. We study G2 theories with n7\ensuremath≤3 matters in 7 and SO(7) theories with n8\ensuremath≤4 matters in the spinor representation 8. We also study the elliptic genera of self-dual instanton strings of 6D SCFTs with exceptional gauge groups or matters, including all non-Higgsable atomic SCFTs with rank 2 or 3 tensor branches. Some of them are tested with topological vertex calculus. We also explore a D-brane-based method to study instanton particles of 5D SO(7) and SO(8) gauge theories with matters in spinor representations, which further tests our ADHM-like proposals.