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Quantum Isometries of the finite noncommutative geometry of the Standard Model

BHOWMICK J
•
D'ANDREA F
•
Dabrowski, Ludwik
2011
  • journal article

Periodico
COMMUNICATIONS IN MATHEMATICAL PHYSICS
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.
DOI
10.1007/s00220-011-1301-2
WOS
WOS:000294681800004
Archivio
http://hdl.handle.net/20.500.11767/16080
info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-80052513730
Diritti
closed access
Soggetti
  • Noncommutative geomet...

  • Manifold

  • Symmetry

  • Dirac operator

  • Settore MAT/07 - Fisi...

Web of Science© citazioni
21
Data di acquisizione
Mar 15, 2024
Visualizzazioni
2
Data di acquisizione
Apr 19, 2024
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