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arXiv · 1009.2850

Quantum Isometries of the finite noncommutative geometry of the Standard Model

Jyotishman Bhowmick·Francesco D'Andrea·Ludwik Dabrowski
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Abstract

We compute the quantum isometry group of the finite noncommutative geometry F describing the internal degrees of freedom in the Standard Model of particle physics. We show that this provides genuine quantum symmetries of the spectral triple corresponding to M x F where M is a compact spin manifold. We also prove that the bosonic and fermionic part of the spectral action are preserved by these symmetries.

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Jyotishman Bhowmick, Francesco D'Andrea, Ludwik Dabrowski. 2011-03-31. Quantum Isometries of the finite noncommutative geometry of the Standard Model. https://doi.org/10.1007/s00220-011-1301-2

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