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Exact results in noncommutative Script N = 2 supersymmetric gauge theories

2001/02/12 by Timothy J. Hollowood, Valentin V. Khoze, Gabriele Travaglini · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #Particle physics theoretical and experimental studies #hep-th

paper · pdf · doi:10.1088/1126-6708/2001/05/051

published as JHEP 0105:051,2001 · typos corrected

arxiv created 2001/02/12 · openalex publication_date 2001/05/25 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We study the low-energy dynamics of noncommutative \N=2 supersymmetric U(N) Yang-Mills theories in the Coulomb phase. Exact results are derived for the leading terms in the derivative expansion of the Wilsonian effective action. We find that in the infrared regime the U(1) subgroup decouples, and the remaining SU(N) is described by the ordinary commutative Seiberg-Witten solution. IR/UV mixing is present in the U(1), but not in SU(N). Our analysis is based on explicit perturbative and multi-instanton calculations.

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