2019/12/10 by Philip C. Argyres, Argyres, Philip C., Antoine Bourget +3 · 1 citation
Mathematics · Medicine · Pharmacology, Toxicology and Pharmaceutics · Physics and Astronomy · #Advanced Algebra and Geometry #Black Holes and Theoretical Physics #FOS: Physical sciences #Fluorine in Organic Chemistry #Geometry and complex manifolds #High Energy Physics - Theory (hep-th) #Neonatal Health and Biochemistry #hep-th
paper · pdf · doi:10.48550/arxiv.1912.04926
70 pages
arxiv created 2019/12/10 · openalex publication_date 2019/12/10 · arxiv updated 2019/12/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We initiate a systematic analysis of moduli spaces of vacua of four dimensional N=3 SCFTs. Our analysis is based on the one hand on the properties of N=3 chiral rings --- which we review in detail and contrast with chiral rings of theories with less supersymmetry --- and on the other hand on constraints coming from low-energy supersymmetry. This leads us to introduce a new type of geometric structure, which characterizes N=3 SCFT moduli spaces, and that we call triple special Kähler (TSK). A rank-n TSK moduli space has complex dimension 3n, and is singular at complex co-dimension 3 subspaces where charged states become massless. The structure of singularities defines a stratification of the TSK space in terms of lower-dimensional TSK manifolds.