Quantum Isometries of the Finite Noncommutative Geometry of the Standard Model
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- Bhowmick, J., D’Andrea, F. & Dąbrowski, L. Commun. Math. Phys. (2011) 307: 101. doi:10.1007/s00220-011-1301-2
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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 × 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.