2003/03/04 by Burt A. Ovrut, Burt A Ovrut, Tony Pantev +1 · 1 citation
Mathematics · Physics and Astronomy · #Algebraic Geometry and Number Theory #Automorphism #Black Holes and Theoretical Physics #F-theory #Fibered knot #Heterotic string theory #Homology (biology) #Homotopy and Cohomology in Algebraic Topology #Invariant (physics) #Superstring theory #hep-th
paper · pdf · doi:10.1088/1126-6708/2004/01/059
published as JHEP 0401 (2004) 059 · 57 pages, 13 figures
arxiv created 2003/03/04 · openalex publication_date 2004/01/29 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Torus-fibered Calabi-Yau threefolds Z, with base dP9 and fundamental group pi1(Z)=Z2 X Z2, are reviewed. It is shown that Z=X/(Z2 X Z2), where X=B XP1 B' are elliptically fibered Calabi-Yau threefolds that admit a freely acting Z2 X Z2 automorphism group. B and B' are rational elliptic surfaces, each with a Z2 X Z2 group of automorphisms. It is shown that the Z2 X Z2 invariant classes of curves of each surface have four generators which produce, via the fiber product, seven Z2 X Z2 invariant generators in H4(X,Z). All invariant homology classes are computed explicitly. These descend to produce a rank seven homology group H4(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.