2024/09/10 by Liu, Chengcheng, Majid, Shahn · 1 citation
#FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th)
paper · doi:10.48550/arxiv.2409.06668
We consider spinors on the total space of a Kaluza-Klein model with fuzzy sphere fibre and geometrically realised Dirac operator on the product. We show that a single massless spinor on the product appears on spacetime as multiplets of spinors with a particular signature of differing masses and SU(2) Yang-Mills charges. For example, for the reduced fuzzy sphere isomorphic to M2(ℂ), a massless spinor appears as two SU(2) doublets and an SU(2) quadruplet in mass ratios 1:5/3:7/3. Although such signatures do not appear to exactly match the Standard Model, the paper provides proof of concept of the approach, which can be applied to other noncommutative fibre algebras.