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Instantons from blow-up
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DOI：10.1007/JHEP11(2019)092.png)
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Abstract
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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 A1 = 2 and 5d A1 = 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.
Keywords:
Brane Dynamics in Gauge Theories
Differential and Algebraic Geometry
Field Theories in Higher Dimensions
Solitons Monopoles and Instantons
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