1998/02/28 by Björn Andreas, B. Andreas · 47 citations
Mathematics · Physics and Astronomy · #Algebraic Geometry and Number Theory #Black Holes and Theoretical Physics #Chiral anomaly #Fermion #Geometry and complex manifolds #Heterotic string theory #Interpretation (philosophy) #Linguistics #Mathematics #Particle physics #Philosophy #Physics #Pure mathematics #Splitting principle #String (physics) #Theoretical physics #Vector bundle #hep-th
paper · pdf · doi:10.1088/1126-6708/1999/01/011
published in Journal of High Energy Physics 1999(01), 011 (Springer Nature) · 8pp,latex,minor changes,note added
arxiv created 1998/04/16 · openalex publication_date 1999/01/11 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In this note we derive the net number of generations of chiral fermions in heterotic string compactifications on Calabi-Yau threefolds with certain SU(n) vector bundles, for n odd, using the parabolic approach for bundles. We compare our results with the spectral cover construction for bundles and make a comment on the net number interpretation in F-theory.