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

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dc.creatorArgyres, Philip C.
dc.creatorCrescimanno, Michael
dc.creatorShapere, Alfred D.
dc.creatorWittig, John R.
dc.date2005-04-07
dc.date2005-06-01
dc.date.accessioned2026-07-07T04:18:14Z
dc.date.available2026-07-07T04:18:14Z
dc.descriptionWe study the classification of 2-dimensional scale-invariant rigid special Kahler (RSK) geometries, which potentially describe the Coulomb branches of N=2 supersymmetric field theories in four dimensions. We show that this classification is equivalent to the solution of a set of polynomial equations by using an integrability condition for the central charge, scale invariance, constraints coming from demanding single-valuedness of physical quantities on the Coulomb branch, and properties of massless BPS states at singularities. We find solutions corresponding to lagrangian scale invariant theories--including the scale invariant G_2 theory not found before in the literature--as well as many new isolated solutions (having no marginal deformations). All our scale-invariant RSK geometries are consistent with an interpretation as effective theories of N=2 superconformal field theories, and, where we can check, turn out to exist as quantum field theories.
dc.description35 pages; section 2 discussion of integrability condition improved; section 4 implementation of Z-consistency condition corrected, reducing the number of solutions to 12
dc.identifierhttps://arxiv.org/abs/hep-th/0504070
dc.identifierhttp://arxiv.org/abs/hep-th/0504070
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/53093
dc.subjectHigh Energy Physics - Theory
dc.titleClassification of N=2 Superconformal Field Theories with Two-Dimensional Coulomb Branches
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