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arXiv · 1910.09568

The Geometry of SUSY Enhancement

Federico Carta·Simone Giacomelli·Hirotaka Hayashi·Raffaele Savelli
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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 hyperk\"ahler-structure restoration on the moduli space of solutions of (twisted) Hitchin systems, which underly the class-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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Federico Carta, Simone Giacomelli, Hirotaka Hayashi, Raffaele Savelli. 2019-10-21. The Geometry of SUSY Enhancement. https://doi.org/10.1007/jhep02(2020)106

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