Filaci, Manuele; Martinetti, Pierre A critical survey of twisted spectral triples beyond the standard model. (English) Zbl 07668185 J. Phys. A, Math. Theor. 56, No. 15, Article ID 153001, 22 p. (2023). MSC: 81V22 47A10 30C45 32Q35 46E30 60J35 PDFBibTeX XMLCite \textit{M. Filaci} and \textit{P. Martinetti}, J. Phys. A, Math. Theor. 56, No. 15, Article ID 153001, 22 p. (2023; Zbl 07668185) Full Text: DOI arXiv
Chakraborty, Anwesha; Nandi, Partha; Chakraborty, Biswajit Spectral triple with real structure on fuzzy sphere. (English) Zbl 1507.58003 J. Math. Phys. 63, No. 2, Article ID 023504, 16 p. (2022). MSC: 58B34 58J42 81T75 81R60 PDFBibTeX XMLCite \textit{A. Chakraborty} et al., J. Math. Phys. 63, No. 2, Article ID 023504, 16 p. (2022; Zbl 1507.58003) Full Text: DOI arXiv
Besnard, Fabien On symmetry breaking in the \(B-L\) extended spectral standard model. (English) Zbl 1507.81175 J. Phys. A, Math. Theor. 55, No. 26, Article ID 264010, 16 p. (2022). MSC: 81T75 81V22 58J42 58B34 PDFBibTeX XMLCite \textit{F. Besnard}, J. Phys. A, Math. Theor. 55, No. 26, Article ID 264010, 16 p. (2022; Zbl 1507.81175) Full Text: DOI arXiv
Besnard, Fabien Extensions of the noncommutative standard model and the weak order one condition. (English) Zbl 1505.81072 J. Phys. A, Math. Theor. 55, No. 9, Article ID 095201, 18 p. (2022). MSC: 81T75 81V22 58B34 81T13 PDFBibTeX XMLCite \textit{F. Besnard}, J. Phys. A, Math. Theor. 55, No. 9, Article ID 095201, 18 p. (2022; Zbl 1505.81072) Full Text: DOI arXiv
Martinetti, Pierre; Singh, Devashish Lorentzian fermionic action by twisting Euclidean spectral triples. (English) Zbl 1505.58002 J. Noncommut. Geom. 16, No. 2, 513-559 (2022). Reviewer: Albert Sheu (Lawrence) MSC: 58B34 46L60 51P05 81T75 58J50 PDFBibTeX XMLCite \textit{P. Martinetti} and \textit{D. Singh}, J. Noncommut. Geom. 16, No. 2, 513--559 (2022; Zbl 1505.58002) Full Text: DOI arXiv
Dong, Rui The gauge group and perturbation semigroup of an operator system. (English) Zbl 1505.46050 SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 060, 18 p. (2022). MSC: 46L07 47L25 58B34 11M55 PDFBibTeX XMLCite \textit{R. Dong}, SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 060, 18 p. (2022; Zbl 1505.46050) Full Text: DOI arXiv
Jimenez, Fredy; Restrepo, Diego; Rivera, Andrés Type-II two-Higgs-doublet model in noncommutative geometry. (English) Zbl 1507.83062 Nucl. Phys., B 983, Article ID 115923, 18 p. (2022). MSC: 83C65 81V22 58C40 70F05 PDFBibTeX XMLCite \textit{F. Jimenez} et al., Nucl. Phys., B 983, Article ID 115923, 18 p. (2022; Zbl 1507.83062) Full Text: DOI arXiv
Magee, Adam M.; Dąbrowski, Ludwik Gauge transformations of spectral triples with twisted real structures. (English) Zbl 1472.81082 J. Math. Phys. 62, No. 8, Article ID 083502, 23 p. (2021). MSC: 81Q05 81R20 35P05 14D21 81V22 PDFBibTeX XMLCite \textit{A. M. Magee} and \textit{L. Dąbrowski}, J. Math. Phys. 62, No. 8, Article ID 083502, 23 p. (2021; Zbl 1472.81082) Full Text: DOI arXiv
Besnard, Fabien A \(U(1)_{B- L}\)-extension of the standard model from noncommutative geometry. (English) Zbl 1456.81471 J. Math. Phys. 62, No. 1, Article ID 012301, 35 p. (2021). MSC: 81V22 81R60 58B34 58J42 83A05 81R40 PDFBibTeX XMLCite \textit{F. Besnard}, J. Math. Phys. 62, No. 1, Article ID 012301, 35 p. (2021; Zbl 1456.81471) Full Text: DOI arXiv
Filaci, Manuele; Martinetti, Pierre Real part of twisted-by-grading spectral triples. (English) Zbl 1460.58006 SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 109, 10 p. (2020). Reviewer: Iakovos Androulidakis (Athína) MSC: 58B34 46L87 81T75 PDFBibTeX XMLCite \textit{M. Filaci} and \textit{P. Martinetti}, SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 109, 10 p. (2020; Zbl 1460.58006) Full Text: DOI arXiv
Bochniak, A.; Williams, T. E.; Zalecki, P. Pseudo-Riemannian structures in Pati-Salam models. (English) Zbl 1451.83052 J. High Energy Phys. 2020, No. 7, Paper No. 72, 20 p. (2020). MSC: 83C65 53Z05 81V05 PDFBibTeX XMLCite \textit{A. Bochniak} et al., J. High Energy Phys. 2020, No. 7, Paper No. 72, 20 p. (2020; Zbl 1451.83052) Full Text: DOI arXiv
Chamseddine, Ali H. Noncommutative geometry and structure of space-time. (English) Zbl 1449.58001 Afr. Mat. 31, No. 1, 15-27 (2020). MSC: 58B34 81T75 83C65 PDFBibTeX XMLCite \textit{A. H. Chamseddine}, Afr. Mat. 31, No. 1, 15--27 (2020; Zbl 1449.58001) Full Text: DOI arXiv
Chamseddine, Ali H.; Connes, Alain; Van Suijlekom, Walter D. Entropy and the spectral action. (English) Zbl 1444.46049 Commun. Math. Phys. 373, No. 2, 457-471 (2020). MSC: 46L85 46L60 46L87 46N60 11M06 PDFBibTeX XMLCite \textit{A. H. Chamseddine} et al., Commun. Math. Phys. 373, No. 2, 457--471 (2020; Zbl 1444.46049) Full Text: DOI arXiv
Devastato, Agostino; Kurkov, Maxim; Lizzi, Fedele Spectral noncommutative geometry standard model and all that. (English) Zbl 1467.81004 Int. J. Mod. Phys. A 34, No. 19, Article ID 1930010, 69 p. (2019). MSC: 81-02 81V22 81R60 81T75 PDFBibTeX XMLCite \textit{A. Devastato} et al., Int. J. Mod. Phys. A 34, No. 19, Article ID 1930010, 69 p. (2019; Zbl 1467.81004) Full Text: DOI arXiv
Forsyth, Iain; Rennie, Adam Factorisation of equivariant spectral triples in unbounded KK-theory. (English) Zbl 1423.19011 J. Aust. Math. Soc. 107, No. 2, 145-180 (2019). Reviewer: Ralf Meyer (Göttingen) MSC: 19K35 46L87 58B34 58J42 PDFBibTeX XMLCite \textit{I. Forsyth} and \textit{A. Rennie}, J. Aust. Math. Soc. 107, No. 2, 145--180 (2019; Zbl 1423.19011) Full Text: DOI arXiv
Connes, Alain Geometry and the quantum. (English) Zbl 1411.58003 Kouneiher, Joseph (ed.), Foundations of mathematics and physics one century after Hilbert. New perspectives. Cham: Springer. 159-196 (2018). Reviewer: Akira Asada (Takarazuka) MSC: 58B34 81T75 81R60 83E99 83C65 57M99 PDFBibTeX XMLCite \textit{A. Connes}, in: Foundations of mathematics and physics one century after Hilbert. New perspectives. Cham: Springer. 159--196 (2018; Zbl 1411.58003) Full Text: DOI arXiv
Landi, Giovanni; Martinetti, Pierre Gauge transformations for twisted spectral triples. (English) Zbl 1404.58015 Lett. Math. Phys. 108, No. 12, 2589-2626 (2018). MSC: 58B34 16D90 81T75 PDFBibTeX XMLCite \textit{G. Landi} and \textit{P. Martinetti}, Lett. Math. Phys. 108, No. 12, 2589--2626 (2018; Zbl 1404.58015) Full Text: DOI arXiv
Boyle, Latham; Farnsworth, Shane A new algebraic structure in the standard model of particle physics. (English) Zbl 1395.83072 J. High Energy Phys. 2018, No. 6, Paper No. 71, 32 p. (2018). MSC: 83C65 81T13 83C60 15A72 PDFBibTeX XMLCite \textit{L. Boyle} and \textit{S. Farnsworth}, J. High Energy Phys. 2018, No. 6, Paper No. 71, 32 p. (2018; Zbl 1395.83072) Full Text: DOI arXiv
Devastato, A.; Farnsworth, S.; Lizzi, F.; Martinetti, P. Lorentz signature and twisted spectral triples. (English) Zbl 1388.83534 J. High Energy Phys. 2018, No. 3, Paper No. 89, 21 p. (2018). MSC: 83C65 81R60 53Z05 PDFBibTeX XMLCite \textit{A. Devastato} et al., J. High Energy Phys. 2018, No. 3, Paper No. 89, 21 p. (2018; Zbl 1388.83534) Full Text: DOI arXiv
Devastato, Agostino; Martinetti, Pierre Twisted spectral triple for the standard model and spontaneous breaking of the grand symmetry. (English) Zbl 1413.58003 Math. Phys. Anal. Geom. 20, No. 1, Paper No. 2, 43 p. (2017). MSC: 58B34 83C65 81T13 81T75 46L87 53B15 53B50 PDFBibTeX XMLCite \textit{A. Devastato} and \textit{P. Martinetti}, Math. Phys. Anal. Geom. 20, No. 1, Paper No. 2, 43 p. (2017; Zbl 1413.58003) Full Text: DOI arXiv
van den Dungen, Koen Krein spectral triples and the fermionic action. (English) Zbl 1413.53113 Math. Phys. Anal. Geom. 19, No. 1, Paper No. 4, 22 p. (2016). MSC: 53C50 58B34 70S15 PDFBibTeX XMLCite \textit{K. van den Dungen}, Math. Phys. Anal. Geom. 19, No. 1, Paper No. 4, 22 p. (2016; Zbl 1413.53113) Full Text: DOI arXiv
Landi, Giovanni; Martinetti, Pierre On twisting real spectral triples by algebra automorphisms. (English) Zbl 1372.58006 Lett. Math. Phys. 106, No. 11, 1499-1530 (2016). Reviewer: Igor V. Nikolaev (New York) MSC: 58B34 46L85 PDFBibTeX XMLCite \textit{G. Landi} and \textit{P. Martinetti}, Lett. Math. Phys. 106, No. 11, 1499--1530 (2016; Zbl 1372.58006) Full Text: DOI arXiv
D’Andrea, Francesco; Dąbrowski, Ludwik The standard model in noncommutative geometry and Morita equivalence. (English) Zbl 1355.46060 J. Noncommut. Geom. 10, No. 2, 551-578 (2016). Reviewer: Igor V. Nikolaev (New York) MSC: 46L85 PDFBibTeX XMLCite \textit{F. D'Andrea} and \textit{L. Dąbrowski}, J. Noncommut. Geom. 10, No. 2, 551--578 (2016; Zbl 1355.46060) Full Text: DOI arXiv
Neumann, Niels; van Suijlekom, Walter D. Perturbation semigroup of matrix algebras. (English) Zbl 1346.46064 J. Noncommut. Geom. 10, No. 1, 245-264 (2016). Reviewer: Igor V. Nikolaev (New York) MSC: 46L85 PDFBibTeX XMLCite \textit{N. Neumann} and \textit{W. D. van Suijlekom}, J. Noncommut. Geom. 10, No. 1, 245--264 (2016; Zbl 1346.46064) Full Text: DOI arXiv
Lechner, Gandalf; Schlemmer, Jan Thermal equilibrium states for quantum fields on non-commutative spacetimes. (English) Zbl 1338.81304 Finster, Felix (ed.) et al., Quantum mathematical physics. A bridge between mathematics and physics. Selected papers based on the presentations at the international conference, Regensburg, Germany, September 29 – October 2, 2014. Cham: Birkhäuser/Springer (ISBN 978-3-319-26900-9/hbk; 978-3-319-26902-3/ebook). 179-199 (2016). MSC: 81T28 81T05 81R60 81T75 PDFBibTeX XMLCite \textit{G. Lechner} and \textit{J. Schlemmer}, in: Quantum mathematical physics. A bridge between mathematics and physics. Selected papers based on the presentations at the international conference, Regensburg, Germany, September 29 -- October 2, 2014. Cham: Birkhäuser/Springer. 179--199 (2016; Zbl 1338.81304) Full Text: DOI arXiv
van Suijlekom, Walter D. Localizing gauge theories from noncommutative geometry. (English) Zbl 1333.58002 Adv. Math. 290, 682-708 (2016). MSC: 58B34 58B32 81R60 PDFBibTeX XMLCite \textit{W. D. van Suijlekom}, Adv. Math. 290, 682--708 (2016; Zbl 1333.58002) Full Text: DOI arXiv
Farnsworth, Shane; Boyle, Latham Rethinking Connes’ approach to the standard model of particle physics via non-commutative geometry. (English) Zbl 1452.81165 New J. Phys. 17, No. 2, Article ID 023021, 6 p. (2015). MSC: 81T75 81R60 83C65 83D05 PDFBibTeX XMLCite \textit{S. Farnsworth} and \textit{L. Boyle}, New J. Phys. 17, No. 2, Article ID 023021, 6 p. (2015; Zbl 1452.81165) Full Text: DOI arXiv
Devi, Yendrembam Chaoba; Prajapat, Shivraj; Mukhopadhyay, Aritra K.; Chakraborty, Biswajit; Scholtz, Frederik G. Connes distance function on fuzzy sphere and the connection between geometry and statistics. (English) Zbl 1332.81099 J. Math. Phys. 56, No. 4, 041707, 25 p. (2015). Reviewer: Zain Shaikh (Paderborn) MSC: 81R60 58B34 46H05 46C99 47B10 PDFBibTeX XMLCite \textit{Y. C. Devi} et al., J. Math. Phys. 56, No. 4, 041707, 25 p. (2015; Zbl 1332.81099) Full Text: DOI arXiv
Devastato, Agostino; Lizzi, Fedele; Valcárcel Flores, Carlos; Vassilevich, Dmitri Unification of coupling constants, dimension 6 operators and the spectral action. (English) Zbl 1310.81150 Int. J. Mod. Phys. A 30, No. 7, Article ID 1550033, 28 p. (2015). MSC: 81V22 81T75 81T17 PDFBibTeX XMLCite \textit{A. Devastato} et al., Int. J. Mod. Phys. A 30, No. 7, Article ID 1550033, 28 p. (2015; Zbl 1310.81150) Full Text: DOI arXiv
Boyle, Latham; Farnsworth, Shane Non-commutative geometry, non-associative geometry and the standard model of particle physics. (English) Zbl 1451.81364 New J. Phys. 16, No. 12, Article ID 123027, 8 p. (2014). MSC: 81T75 81R60 83C65 81V25 PDFBibTeX XMLCite \textit{L. Boyle} and \textit{S. Farnsworth}, New J. Phys. 16, No. 12, Article ID 123027, 8 p. (2014; Zbl 1451.81364) Full Text: DOI arXiv
D’Andrea, Francesco; Lizzi, Fedele; Martinetti, Pierre Matrix geometries emergent from a point. (English) Zbl 1341.58008 Rev. Math. Phys. 26, No. 9, Article ID 1450017, 32 p. (2014). Reviewer: Mădălina Buneci (Targu-Jiu) MSC: 58B34 16D90 81S99 46L65 81R30 PDFBibTeX XMLCite \textit{F. D'Andrea} et al., Rev. Math. Phys. 26, No. 9, Article ID 1450017, 32 p. (2014; Zbl 1341.58008) Full Text: DOI arXiv
Chamseddine, Ali H.; Connes, Alain; van Suijlekom, Walter D. Beyond the spectral standard model: emergence of Pati-Salam unification. (English) Zbl 1410.81032 J. High Energy Phys. 2013, No. 11, Paper No. 132, 36 p. (2013). MSC: 81T75 81R60 58B34 PDFBibTeX XMLCite \textit{A. H. Chamseddine} et al., J. High Energy Phys. 2013, No. 11, Paper No. 132, 36 p. (2013; Zbl 1410.81032) Full Text: DOI arXiv
Devastato, A.; Lizzi, F.; Martinetti, P. Higgs mass in noncommutative geometry. (English) Zbl 1338.81395 Fortschr. Phys. 62, No. 9-10, 863-868 (2013). MSC: 81V22 81R40 81T75 81V15 PDFBibTeX XMLCite \textit{A. Devastato} et al., Fortschr. Phys. 62, No. 9--10, 863--868 (2013; Zbl 1338.81395) Full Text: DOI arXiv