Classification of N=2 Superconformal Field Theories with Two-Dimensional Coulomb Branches, II

dc.creatorArgyres, Philip C.
dc.creatorWittig, John R.
dc.date2005-10-26
dc.date.accessioned2026-07-07T06:46:58Z
dc.date.available2026-07-07T06:46:58Z
dc.descriptionWe 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 y^2=x^6 with a fixed canonical basis of holomorphic one forms were analyzed. Here we perform the analysis for the y^2=x^5 type singularities. (The final maximal singularity type, y^2=x^3(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.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/hep-th/0510226
dc.identifierhttp://arxiv.org/abs/hep-th/0510226
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/103509
dc.subjectHigh Energy Physics - Theory
dc.titleClassification of N=2 Superconformal Field Theories with Two-Dimensional Coulomb Branches, II
dc.typetext

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