1996/09/13 by Gabriel Lopes Cardoso, Gottfried Curio, Dieter Lust +2 · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Compactification (mathematics) #Computer science #Discriminant #Duality (order theory) #Gauge group #Gauge theory #Geometry #Heterotic string theory #K3 surface #Mathematical physics #Mathematics #Moduli #Moduli space #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Relationship between string theory and quantum field theory #String duality #Theoretical physics #Torus #hep-th
paper · pdf · doi:10.1016/s0370-2693(96)01303-2
published as Phys.Lett.B389:479-484,1996 · 10 pages, LaTeX
arxiv created 1996/09/13 · openalex publication_date 1996/12/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In this note we compare the moduli spaces of the heterotic string compactified on a two-torus and F-Theory compactified on an elliptic K3 surface for the case of an unbroken E8 x E8 gauge group. The explicit map relating the deformation parameters alpha and beta of the F-Theory K3 surface to the moduli T and U of the heterotic torus is found using the close relationship between the K3 discriminant and the discriminant of the Calabi-Yau-threefold X(1,1,2,8,12)[24] in the limit of a large base P1.