2002/07/31 by Brian P. Dolan, C. Nash
Physics and Astronomy · #Neutrino Physics Research #Noncommutative and Quantum Gravity Theories #Particle physics theoretical and experimental studies #hep-th
paper · pdf · doi:10.1088/1126-6708/2002/10/041
published as JHEP 0210 (2002) 041 · 13 pages. Typset using LaTeX and JHEP3 style files. Minor typos corrected
openalex publication_date 2002/10/16 · arxiv created 2002/11/14 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
It is shown that the quarks and leptons of the standard model, including a right-handed neutrino, can be obtained by gauging the holonomy groups of complex projective spaces of complex dimensions two and three. The spectrum emerges as chiral zero modes of the Dirac operator coupled to gauge fields and the demonstration involves an index theorem analysis on a general complex projective space in the presence of topologically non-trivial SU(n)xU(1) gauge fields. The construction may have applications in type IIA string theory and non-commutative geometry.