Abstract
Our next task is to study \(\mathcal{N}=2\) supersymmetric SU(2) gauge theory with one hypermultiplet in the doublet representation. This is often called the SU(2) theory with one flavor, or more simply N f = 1. We will see that all the methods employed in the last chapter are readily adapted to this theory, too. We again follow the presentation of the original paper [1], but we use the Seiberg–Witten curve in a form more suitable for the generalization later. Appendix C of [2] is a good source where many different forms of the Seiberg–Witten curves of SU(2) theories are summarized.
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N. Seiberg, E. Witten, Monopoles, duality and chiral symmetry breaking in \(\mathcal{N}\! = 2\) supersymmetric QCD. Nucl. Phys. B431, 484–550 (1994). arXiv:hep-th/9408099
L. Hollands, C.A. Keller, J. Song, From SO/Sp instantons to W-algebra blocks. J. High Energy Phys. 03, 053 (2011). arXiv:1012.4468 [hep-th]
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Tachikawa, Y. (2015). SU(2) Theory with One Flavor. In: N=2 Supersymmetric Dynamics for Pedestrians. Lecture Notes in Physics, vol 890. Springer, Cham. https://doi.org/10.1007/978-3-319-08822-8_5
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DOI: https://doi.org/10.1007/978-3-319-08822-8_5
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