Invariant Homology on Standard Model Manifolds

Details Invariant Homology on Standard Model Manifolds Invariant Homology on Standard Model Manifolds

2003-03-04

arxiv.org/abs/hep-th/0303020v1

JHEP 0401 (2004) 059

Physics

High Energy Physics

High Energy Physics - Theory

57 pages, 13 figures

Scientific paper

10.1088/1126-6708/2004/01/059

Torus-fibered Calabi-Yau threefolds Z, with base dP_9 and fundamental group pi_1(Z)=Z_2 X Z_2, are reviewed. It is shown that Z=X/(Z_2 X Z_2), where X=B X_{P_1} B' are elliptically fibered Calabi-Yau threefolds that admit a freely acting Z_2 X Z_2 automorphism group. B and B' are rational elliptic surfaces, each with a Z_2 X Z_2 group of automorphisms. It is shown that the Z_2 X Z_2 invariant classes of curves of each surface have four generators which produce, via the fiber product, seven Z_2 X Z_2 invariant generators in H_4(X,Z). All invariant homology classes are computed explicitly. These descend to produce a rank seven homology group H_4(Z,Z) on Z. The existence of these homology classes on Z is essential to the construction of anomaly free, three family standard-like models with suppressed nucleon decay in both weakly and strongly coupled heterotic superstring theory.

Affiliated with

Also associated with

No associations

Rating

Invariant Homology on Standard Model Manifolds 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 Invariant Homology on Standard Model Manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Invariant Homology on Standard Model Manifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-478949