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.

Quantum Isometries of the finite noncommutative geometry of the Standard Model / Bhowmick, J; D'Andrea, F; Dabrowski, Ludwik. - In: COMMUNICATIONS IN MATHEMATICAL PHYSICS. - ISSN 0010-3616. - 307:1(2011), pp. 101-131. [10.1007/s00220-011-1301-2]

Quantum Isometries of the finite noncommutative geometry of the Standard Model

Dabrowski, Ludwik
2011-01-01

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×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.
2011
307
1
101
131
Bhowmick, J; D'Andrea, F; Dabrowski, Ludwik
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/16080
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