Higher-dimensional unified theories with continuous and fuzzy coset spaces as extra dimensions. (English) Zbl 1368.81158
Dobrev, Vladimir (ed.), Lie theory and its applications in physics. Selected papers based on the presentations at the 11th workshop, LT 11, Varna, Bulgaria, June 15–21, 2015. Singapore: Springer (ISBN 978-981-10-2635-5/hbk; 978-981-10-2636-2/ebook). Springer Proceedings in Mathematics & Statistics 191, 203-229 (2016).
Summary: We first briefly review the Coset Space Dimensional Reduction (CSDR) programme and present the results of the best model so far, based on the \(\mathcal N=1\), \(d=10\), \(E_8\) gauge theory reduced over the nearly-Kähler manifold \(\mathrm{SU}(3)/U(1)\times U(1)\). Then, we present the adjustment of the CSDR programme in the case that the extra dimensions are considered to be fuzzy coset spaces and then, the best model constructed in this framework, too, which is the trinification GUT, \(\mathrm{SU}(3)^3\).
For the entire collection see [Zbl 1364.22001].
For the entire collection see [Zbl 1364.22001].
MSC:
| 81V22 | Unified quantum theories |
| 83E15 | Kaluza-Klein and other higher-dimensional theories |
| 22E70 | Applications of Lie groups to the sciences; explicit representations |
| 32Q15 | Kähler manifolds |
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