2003/07/31 by Farhad Ardalan, FARHAD ARDALAN, Neda Sadooghi +1 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Anomaly (physics) #Black Holes and Theoretical Physics #Gauge theory #Invariant (physics) #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Planar #Seiberg duality #Superpotential #Supersymmetric gauge theory #hep-th
paper · pdf · doi:10.1142/s0217751x05021312
published as Int.J.Mod.Phys. A20 (2005) 2859-2882 · LaTeX, 36 pages. Version 2: Typos Corrected. Version 3: Extensively revised version, 42 pages, to be published in Int. J. Mod. Phys. A. (2005)
arxiv created 2005/01/20 · openalex publication_date 2005/05/20 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The Konishi anomalies for noncommutative [Formula: see text] supersymmetric U (1) gauge theory arising from planar and nonplanar diagrams are calculated. Whereas planar Konishi anomaly is the expected ⋆-deformation of the commutative anomaly, nonplanar anomaly reflects the important features of nonplanar diagrams of noncommutative gauge theories, such as UV/IR mixing and the appearance of nonlocal open Wilson lines. We use the planar and nonplanar Konishi anomalies to calculate the effective superpotential of the theory. In the limit of vanishing |Θp|, with Θ the noncommutativity parameter, the noncommutative effective superpotential depends on a gauge invariant superfield, which includes supersymmetric Wilson lines, and has nontrivial dependence on the gauge field supermultiplet.