Abstract
It is known that some theories of class S are actually factorized into multiple decoupled nontrivial four-dimensional \( \mathcal{N} \) = 2 theories. We propose a way of constructing examples of this phenomenon using the physics of half-BPS surface defects, and check that it works in one simple example: it correctly reproduces a known realization of two copies of \( \mathcal{N} \) = 2 superconformal SU(2) QCD, describing this factorized theory as a class S theory of type A3 on a five-punctured sphere with a twist line. Separately, we also present explicit checks that the Coulomb branch of a putative factorized class S theory has the expected product structure, in two examples.
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Ergun, B., Hao, Q., Neitzke, A. et al. Factorized class S theories and surface defects. J. High Energ. Phys. 2021, 41 (2021). https://doi.org/10.1007/JHEP12(2021)041
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DOI: https://doi.org/10.1007/JHEP12(2021)041