Three Generations on the Quintic Quotient
High Energy Physics - Theory
2010-12-15 v2
Abstract
A three-generation SU(5) GUT, that is 3x(10+5bar) and a single 5-5bar pair, is constructed by compactification of the E_8 heterotic string. The base manifold is the Z_5 x Z_5-quotient of the quintic, and the vector bundle is the quotient of a positive monad. The group action on the monad and its bundle-valued cohomology is discussed in detail, including topological restrictions on the existence of equivariant structures. This model and a single Z_5 quotient are the complete list of three generation quotients of positive monads on the quintic.
Cite
@article{arxiv.0909.5682,
title = {Three Generations on the Quintic Quotient},
author = {Volker Braun},
journal= {arXiv preprint arXiv:0909.5682},
year = {2010}
}
Comments
19 pages, LaTeX. v2: section on anomaly cancellation added