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6D strings and exceptional instantons

6D strings and exceptional instantons

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 ${n}_{\mathbf{7}}\ensuremath{\le}3$ matters in $\mathbf{7}$ and $SO(7)$ theories with ${n}_{\mathbf{8}}\ensuremath{\le}4$ matters in the spinor representation $\mathbf{8}$. We also …