Abstract
We generalize Nakajima-Yoshioka blowup equations to arbitrary gauge group with hypermultiplets in arbitrary representations. Using our blowup equations, we compute the instanton partition functions for 4d \( \mathcal{N} \) = 2 and 5d \( \mathcal{N} \) = 1 gauge theories for arbitrary gauge theory with a large class of matter representations, without knowing explicit construction of the instanton moduli space. Our examples include exceptional gauge theories with fundamentals, SO(N ) gauge theories with spinors, and SU(6) gauge theories with rank-3 antisymmetric hypers. Remarkably, the instanton partition function is completely determined by the perturbative part.
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Kim, J., Kim, SS., Lee, KH. et al. Instantons from blow-up. J. High Energ. Phys. 2019, 92 (2019). https://doi.org/10.1007/JHEP11(2019)092
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DOI: https://doi.org/10.1007/JHEP11(2019)092