6d strings and exceptional instantons

Autor: Kim, Hee-Cheol, Kim, Joonho, Kim, Seok, Lee, Ki-Hong, Park, Jaemo
Rok vydání: 2018
Předmět:
Zdroj: Phys. Rev. D 103, 025012 (2021)
Druh dokumentu: Working Paper
DOI: 10.1103/PhysRevD.103.025012
Popis: 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 $G_2$ theories with $n_{\bf 7}\leq 3$ matters in ${\bf 7}$, and $SO(7)$ theories with $n_{\bf 8}\leq 4$ matters in the spinor representation ${\bf 8}$. 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.
Comment: 65 pages, 25 figures
Databáze: arXiv