1998/05/31 by Paul S. Aspinwall, Paul S Aspinwall, David R. Morrison +1 · 4 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology #hep-th
paper · pdf · doi:10.1088/1126-6708/1998/07/012
published as JHEP 9807 (1998) 012 · 15 pages, 2 embedded figures, some spurious U(1)'s removed
openalex publication_date 1998/07/22 · arxiv created 1998/12/16 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We consider the F-theory description of non-simply-connected gauge groups appearing in the E8 x E8 heterotic string. The analysis is closely tied to the arithmetic of torsion points on an elliptic curve. The general form of the corresponding elliptic fibration is given for all finite subgroups of E8 which are applicable in this context. We also study the closely-related question of point-like instantons on a K3 surface whose holonomy is a finite group. As an example we consider the case of the heterotic string on a K3 surface having the E8 gauge symmetry broken to (E6 x SU(3))/Z3 or SU(9)/Z3 by point-like instantons with Z3 holonomy.