1996/07/31 by Raimar Wulkenhaar, Wulkenhaar, Raimar
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic and Geometric Analysis #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematics and Applications #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/9607237
48 pages, LaTeX2e + AMS macros + graphics.sty + eps table; revised version: A Majorana mass for the right neutrinos has been introduced. This leads to an additional 50-plet of Higgs fields, and an unobserved neutral gauge field gets a very large mass
openalex publication_date 1996/07/31 · arxiv created 1997/02/10 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We formulate the flipped SU(5) x U(1)-GUT within the framework of non-associative geometry. It suffices to take the matrix Lie algebra su(5) as the input; the u(1)-part with its representation on the fermions is an algebraic consequence. The occurring Higgs multiplets (24,5,45,50-representations of su(5)) are uniquely determined by the fermionic mass matrix and the spontaneous symmetry breaking pattern to SU(3) x U(1). We find the most general gauge invariant Higgs potential that is compatible with the given Higgs vacuum. Our formalism yields tree-level predictions for the masses of all gauge and Higgs bosons. It turns out that the low-energy sector is identical with the standard model. In particular, there exists precisely one light Higgs field, whose upper bound for the mass is 1.45 mt. All remaining 207 Higgs fields are extremely heavy.