Journal of High Energy Physics

, 2019:92 | Cite as

Instantons from blow-up

  • Joonho Kim
  • Sung-Soo Kim
  • Ki-Hong Lee
  • Kimyeong Lee
  • Jaewon SongEmail author
Open Access
Regular Article - Theoretical Physics


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.


Brane Dynamics in Gauge Theories Differential and Algebraic Geometry Field Theories in Higher Dimensions Solitons Monopoles and Instantons 


Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited


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© The Author(s) 2019

Authors and Affiliations

  1. 1.Department of Physics and Astronomy & Center for Theoretical PhysicsSeoul National UniversitySeoulKorea
  2. 2.School of PhysicsUniversity of Electronic Science and Technology of ChinaChengduChina
  3. 3.School of Physics, Korea Institute for Advanced StudySeoulKorea

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