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Noncommutative Gauge Theory on Fuzzy Sphere from Matrix Model

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arxiv hep-th/0101102 v4 pith:S4C7TLBB submitted 2001-01-16 hep-th

S.Iso , Y.Kimura , K.Tanaka , K. Wakatsuki This is my paper · ORCID
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abstract

We derive a noncommutative U(1) and U(n) gauge theory on the fuzzy sphere from a three dimensional matrix model by expanding the model around a classical solution of the fuzzy sphere. Chern-Simons term is added in the matrix model to make the fuzzy sphere as a classical solution of the model. Majorana mass term is also added to make it supersymmetric. We consider two large $N$ limits, one corresponding to a gauge theory on a commutative sphere and the other to that on a noncommutative plane. We also investigate stability of the fuzzy sphere by calculating one-loop effective action around classical solutions. In the final part of this paper, we consider another matrix model which gives a supersymmetric gauge theory on the fuzzy sphere. In this matrix model, only Chern-Simons term is added and supersymmetry transformation is modified.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. 3d Conformal Field Theories via Fuzzy Sphere Algebra

    cond-mat.str-el 2026-02 conditional novelty 6.0 of 10

    The fuzzy-sphere density-mode algebra is a genuine Lie algebra, but a direct density-mode realization of the 3d conformal algebra so(3,2) exists only for the two-electron system.

  2. Quantum spacetime and quantum fluctuations in the IKKT model at weak coupling

    hep-th 2026-05 unverdicted novelty 4.0 of 10

    In the IKKT matrix model, quantum fluctuations are negligible compared to noncommutativity scales at weak coupling for Moyal-Weyl and covariant quantum spacetime backgrounds, justifying semi-classical emergent geometry.

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