2005/10/26 by Philip C. Argyres, Argyres, Philip C., John R. Wittig +1
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Nonlinear Waves and Solitons
paper · pdf · doi:10.48550/arxiv.hep-th/0510226
openalex publication_date 2005/10/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We continue the classification of 2-dimensional scale-invariant rigid special Kahler (RSK) geometries. This classification was begun in [hep-th/0504070] where singularities corresponding to curves of the form y2=x6 with a fixed canonical basis of holomorphic one forms were analyzed. Here we perform the analysis for the y2=x5 type singularities. (The final maximal singularity type, y2=x3(x-1)3, will be analyzed in a later paper.) These singularities potentially describe the Coulomb branches of N=2 supersymmetric field theories in four dimensions. We show that there are only 13 solutions satisfying the integrability condition (enforcing the RSK geometry of the Coulomb branch) and the Z-consistency condition (requiring massless charged states at singularities). Of these solutions, one has a marginal deformation, and corresponds to the known solution for certain Sp(2) gauge theories, while the rest correspond to isolated strongly interacting conformal field theories.