Four-Dimensional Superconformal Theories with Interacting Boundaries or Defects

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dc.creatorErdmenger, Johanna
dc.creatorGuralnik, Zachary
dc.creatorKirsch, Ingo
dc.date2002-03-03
dc.date2002-03-25
dc.date.accessioned2026-07-07T10:34:12Z
dc.date.available2026-07-07T10:34:12Z
dc.descriptionWe study four-dimensional superconformal field theories coupled to three-dimensional superconformal boundary or defect degrees of freedom. Starting with bulk N=2, d=4 theories, we construct abelian models preserving N=2, d=3 supersymmetry and the conformal symmetries under which the boundary/defect is invariant. We write the action, including the bulk terms, in N=2, d=3 superspace. Moreover we derive Callan-Symanzik equations for these models using their superconformal transformation properties and show that the beta functions vanish to all orders in perturbation theory, such that the models remain superconformal upon quantization. Furthermore we study a model with N=4 SU(N) Yang-Mills theory in the bulk coupled to a N=4, d=3 hypermultiplet on a defect. This model was constructed by DeWolfe, Freedman and Ooguri, and conjectured to be conformal based on its relation to an AdS configuration studied by Karch and Randall. We write this model in N=2, d=3 superspace, which has the distinct advantage that non-renormalization theorems become transparent. Using N=4, d=3 supersymmetry, we argue that the model is conformal.
dc.description30 pages, 4 figures, AMSLaTeX, revised comments on Chern-Simons term, references added
dc.identifierhttps://arxiv.org/abs/hep-th/0203020
dc.identifierhttp://arxiv.org/abs/hep-th/0203020
dc.identifierPhys.Rev.D66:025020,2002
dc.identifierdoi:10.1103/PhysRevD.66.025020
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/179394
dc.subjectHigh Energy Physics - Theory
dc.titleFour-Dimensional Superconformal Theories with Interacting Boundaries or Defects
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