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arXiv · 1801.03579

6d strings and exceptional instantons

Hee-Cheol Kim·Joonho Kim·Seok Kim·Ki-Hong Lee·Jaemo Park
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Abstract

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.

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Hee-Cheol Kim, Joonho Kim, Seok Kim, Ki-Hong Lee, Jaemo Park. 2018-01-10. 6d strings and exceptional instantons. https://doi.org/10.1103/physrevd.103.025012

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