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Planar and nonplanar konishi anomalies and effective superpotential for noncommutative N = 1 supersymmetric U(1)

Ardalan, F ; Sharif University of Technology | 2005

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  1. Type of Document: Article
  2. DOI: 10.1142/S0217751X05021312
  3. Publisher: 2005
  4. Abstract:
  5. The Konishi anomalies for noncommutative N = 1 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 |⊖p, with ⊖ 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. © World Scientific Publishing Company
  6. Keywords:
  7. Noncommutative N = 1 supersymmetry ; Effective superpotential
  8. Source: International Journal of Modern Physics A ; Volume 20, Issue 13 , 2005 , Pages 2859-2892 ; 0217751X (ISSN)
  9. URL: https://www.worldscientific.com/doi/10.1142/S0217751X05021312