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Quantum Isometries of the finite noncommutative geometry of the Standard Model

TitleQuantum Isometries of the finite noncommutative geometry of the Standard Model
Publication TypeJournal Article
Year of Publication2011
AuthorsBhowmick, J, D\'Andrea, F, Dabrowski, L
JournalCommun. Math. Phys. 307:101-131, 2011
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.

URLhttp://hdl.handle.net/1963/4906
DOI10.1007/s00220-011-1301-2

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