Vector Bundle Extensions, Sheaf Cohomology, and the Heterotic Standard Model

Details Vector Bundle Extensions, Sheaf Cohomology, and the Heterotic Standard Model Vector Bundle Extensions, Sheaf Cohomology, and the Heterotic Standard Model

2005-05-04

arxiv.org/abs/hep-th/0505041v2

Adv.Theor.Math.Phys.10:4,2006

Physics

High Energy Physics

High Energy Physics - Theory

62 pages, 2 figures, LaTeX. v2: references added

Scientific paper

Stable, holomorphic vector bundles are constructed on an torus fibered, non-simply connected Calabi-Yau threefold using the method of bundle extensions. Since the manifold is multiply connected, we work with equivariant bundles on the elliptically fibered covering space. The cohomology groups of the vector bundle, which yield the low energy spectrum, are computed using the Leray spectral sequence and fit the requirements of particle phenomenology. The physical properties of these vacua were discussed previously. In this paper, we systematically compute all relevant cohomology groups and explicitly prove the existence of the necessary vector bundle extensions. All mathematical details are explained in a pedagogical way, providing the technical framework for constructing heterotic standard model vacua.

Affiliated with

Also associated with

No associations

Rating

Vector Bundle Extensions, Sheaf Cohomology, and the Heterotic Standard Model does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Vector Bundle Extensions, Sheaf Cohomology, and the Heterotic Standard Model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Vector Bundle Extensions, Sheaf Cohomology, and the Heterotic Standard Model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-592200