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Lectures on Fuzzy and Fuzzy SUSY Physics

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arxiv hep-th/0511114 v2 pith:JPTBDBXS submitted 2005-11-09 hep-th gr-qchep-lathep-phmath-phmath.MPmath.QAquant-ph

A. P. Balachandran , S. Kurkcuoglu , S. Vaidya This is my paper · ORCID
classification hep-thgr-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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    Isospin degrees of freedom encode fuzzy extra dimensions even at small matrix size, so systems with d spatial coordinates can realize topological states of intrinsic dimensionality up to d+δ+1, captured by a generaliz...

  2. Asymptotic Quantization of Palatini Action

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    The Palatini action can be quantized on R^3 using SL(2,C) as the complexification of SU(2), yielding theta vacua and suggesting that the Gauss law algebra replaces diffeomorphism constraints.

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