Note on Gauge Theory on Fuzzy Supersphere

Abstract

We construct a supermatrix model whose classical background gives two-dimensional noncommutative supersphere. Quantum fluctuations around it give the supersymmetric gauge theories on the fuzzy supersphere constructed by Klimcik. This model has a parameter $\beta$ which can tune masses of the particles in the model and interpolate various supersymmetric gauge theories on sphere.

13 pages, LaTeX

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• Quantum Field Theory in a Non-Commutative Space: Theoretical Predictions and Numerical Results on the Fuzzy Sphere
• Graded Hopf Maps and Fuzzy Superspheres
• Recovery of Full N=1 Supersymmetry in Non(anti-)commutative Superspace
• SUSY Quantum Hall Effect on Non-Anti-Commutative Geometry
• Notes on noncommutative supersymmetric gauge theory on the fuzzy supersphere
• On supermatrix models, Poisson geometry and noncommutative supersymmetric gauge theories
• Super quantum Dirac operator on the q-deformed super fuzzy sphere in instanton sector using quantum super Ginsparg-Wilson algebra