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Dimensional Reduction over Fuzzy Coset Spaces

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arxiv hep-th/0310072 v3 pith:MJRFDD25 submitted 2003-10-08 hep-th hep-ph

P. Aschieri , J. Madore , P. Manousselis , G. Zoupanos This is my paper · ORCID
classification hep-thhep-ph
keywords cosetdimensionalfuzzyreductioncorrespondingdimensionsgaugespace
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We examine gauge theories on Minkowski space-time times fuzzy coset spaces. This means that the extra space dimensions instead of being a continuous coset space S/R are a corresponding finite matrix approximation. The gauge theory defined on this non-commutative setup is reduced to four dimensions and the rules of the corresponding dimensional reduction are established. We investigate in particular the case of the fuzzy sphere including the dimensional reduction of fermion fields.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 70 citations worldwide. Full citation record

  1. Effective field theory of the quantum skyrmion Hall effect

    hep-th 2024-12 conditional novelty 6.0 of 10

    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. Bose-Einstein condensation and superfluidity on a fuzzy sphere

    cond-mat.quant-gas 2026-07 reject novelty 4.0 of 10

    The paper derives enhanced BEC and a Uemura-like linear-in-T superfluid density on a fuzzy sphere, but the enhancement is a finite-mode artifact and the linear-T claim rests on an incorrect large-R expansion.

  3. Signatures of the quantum skyrmion Hall effect in the Bernevig-Hughes-Zhang model

    cond-mat.mes-hall 2024-12 conditional novelty 4.0 of 10

    The BHZ model with weakly broken time-reversal symmetry shows gapless boundary modes interpreted as compactified 3D Weyl nodes of the quantum skyrmion Hall effect, and this is claimed to explain a 2015 HgTe edge-condu...

  4. Noncommutative Gauge Theories and Gravity

    hep-th 2019-07 unverdicted novelty 2.0 of 10

    The paper reviews gauge-theoretic formulations of gravity in ordinary and noncommutative spaces based on the authors' earlier works.

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