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Kim, Joonho; Kim, Sung-Soo; Lee, Ki-Hong; Lee, Kimyeong; Song, Jaewon
The journal of high energy physics, 11/2019, Volume: 2019, Issue: 11Journal Article
A bstract 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 N = 2 and 5d 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.
