The Geometry of SUSY Enhancement
High Energy Physics - Theory
2020-03-18 v1
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.
Keywords
Cite
@article{arxiv.1910.09568,
title = {The Geometry of SUSY Enhancement},
author = {Federico Carta and Simone Giacomelli and Hirotaka Hayashi and Raffaele Savelli},
journal= {arXiv preprint arXiv:1910.09568},
year = {2020}
}
Comments
40 pages, 4 figures