Abstract
We provide a precise geometric picture that demystifies the phenomenon of supersymmetry enhancement along certain RG flows of four-dimensional field theories, recently discovered by Maruyoshi and Song. It applies to theories of arbitrary rank and it is based on a hyperkähler-structure restoration on the moduli space of solutions of (twisted) Hitchin systems, which underly the class-\( \mathcal{S} \) construction we use as an engineering tool. Along the way, we formulate a necessary algebraic condition for supersymmetry enhancement, and, when enhancement occurs, we are able to derive the Seiberg-Witten geometry and all conformal dimensions of Coulomb-branch operators for the infrared theory, without using a-maximization.
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ArXiv ePrint: 1910.09568
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Carta, F., Giacomelli, S., Hayashi, H. et al. The geometry of SUSY enhancement. J. High Energ. Phys. 2020, 106 (2020). https://doi.org/10.1007/JHEP02(2020)106
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DOI: https://doi.org/10.1007/JHEP02(2020)106