Gauge theory on a noncommutative supersphere from a supermatrix model

2003/11/30 by Satoshi Iso, Hiroshi Umetsu
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.1103/physrevd.69.105003

published as Phys.Rev. D69 (2004) 105003 · 16 pages, Latex, typos corrected, references added

arxiv created 2004/02/10 · openalex publication_date 2004/05/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

We construct a supermatrix model that has a classical solution representing the noncommutative (fuzzy) two-supersphere. Expanding supermatrices around the classical background, we obtain a gauge theory on a noncommutative superspace on a sphere. This theory has osp(1|2) supersymmetry and u(2L+1|2L) gauge symmetry. We also discuss a commutative limit of the model keeping the radius of the supersphere fixed.

Citations

• The cubic matrix model and a duality between strings and loops
• DeformedN=1supersymmetry
• A note on background independence in noncommutative gauge theories, matrix model and tachyon condensation
• Renormalizability of non(anti)commutative gauge theories with Script N = 1/2 supersymmetry
• Dijkgraaf–Vafa theory as large-N reduction
• Seiberg-Witten Map for Superfields on Canonically DeformedN=1,d=4 Superspace
• Quantum Deformations of Space-Time SUSY and Noncommutative Superfield Theory