2018/10/31 by Yusuke Kimura · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Conifold #F-theory #Fibered knot #Gauge (firearms) #Gauge group #Geometry and complex manifolds #Heterotic string theory #Moduli #Moduli space #Quantum Chromodynamics and Particle Interactions #hep-th
paper · pdf · doi:10.1007/jhep02(2019)036
published as JHEP 02(2019)036 · 42 pages. Minor changes, added comments in section 4.4, updated reference
openalex created_date 2018/10/26 · arxiv created 2019/02/01 · openalex publication_date 2019/02/01 · arxiv updated 2019/02/12 · openalex updated_date 2026/08/05
A bstract Eight-dimensional nongeometric heterotic strings were constructed as duals of F-theory on Λ 1,1 ⊕ E 8 ⊕ E 7 lattice polarized K3 surfaces by Malmendier and Morrison. We study the structure of the moduli space of this construction. There are special points in this space at which the ranks of the non-Abelian gauge groups on the 7-branes in F-theory are enhanced to 18. We demonstrate that the enhanced rank-18 non-Abelian gauge groups arise as a consequence of the coincident 7-branes, which deform stable degenerations on the F-theory side. This observation suggests that the non-geometric heterotic strings include nonperturbative effects of the coincident 7-branes on the F-theory side. The gauge groups that arise at these special points in the moduli space do not allow for perturbative descriptions on the heterotic side. We also construct a family of elliptically fibered Calabi-Yau 3-folds by fibering K3 surfaces with enhanced singularities over ℙ 1 . Highly enhanced gauge groups arise in F-theory compactifications on the resulting Calabi-Yau 3-folds.