1993/04/22 by Jens Erler · 2 citations
Mathematics · Physics and Astronomy · #Abelian group #Anomaly (physics) #Black Holes and Theoretical Physics #Compactification (mathematics) #Gauge theory #Homotopy and Cohomology in Algebraic Topology #Interpretation (philosophy) #Lattice (music) #Manifold (fluid mechanics) #Noncommutative and Quantum Gravity Theories #Orbifold #hep-ph #hep-th
paper · pdf · doi:10.1063/1.530885
published as J.Math.Phys. 35 (1994) 1819-1833 · 19 pages, UPR-0567T
arxiv created 1993/04/22 · openalex publication_date 1994/04/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
It is shown that anomaly cancellation conditions are sufficient to determine the two most important topological numbers relevant for Calabi–Yau (CY) compactification to six dimensions. This reflects the fact that K3 is the only nontrivial CY manifold in two complex dimensions. The Green–Schwarz counterterms are explicitly constructed and sum rules for charges of additional enhanced U(1) factors are derived and the results with all possible Abelian orbifold constructions of K3 are compared. This includes asymmetric orbifolds as well, showing that it is possible to regain a geometrical interpretation for this class of models. Finally, some models with a broken E7 gauge group which will be useful for more phenomenological applications are discussed herein.