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arxiv: hep-th/0511114 · v2 · submitted 2005-11-09 · ✦ hep-th · gr-qc· hep-lat· hep-ph· math-ph· math.MP· math.QA· quant-ph

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Lectures on Fuzzy and Fuzzy SUSY Physics

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classification ✦ hep-th gr-qchep-lathep-phmath-phmath.MPmath.QAquant-ph
keywords fuzzyspacesalgebrasanomalyaxialcommentscontentsdirac
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This is a preliminary version, comments and inputs are welcome. Contents: 1. Introduction. 2. Fuzzy Spaces. 3. Star Products. 4. Scalar Fields on the Fuzzy Sphere. 5. Instantons, Monopoles and Projective Modules. 6. Fuzzy Nonlinear Sigma Models. 7. Fuzzy Gauge Theories. 8. The Dirac Operator and Axial Anomaly. 9. Fuzzy Supersymmetry. 10.Fuzzy Spaces as Hopf Algebras.

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Cited by 2 Pith papers

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    Howe duality underlies the super Landau model, relating Landau levels via supermonopole harmonics and yielding matrix coordinates for fuzzy superspheres at arbitrary levels with a determined non-commutative scale.

  2. Real-Time Quantum Dynamics on the Fuzzy Sphere: Chaos and Entanglement

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    In this fuzzy-sphere matrix model the largest Lyapunov exponent drops to zero at finite temperature, respecting the Maldacena-Shenker-Stanford bound while entanglement shows fast scrambling.