Mathematics Underlying the F-Theory/Heterotic String Duality in Eight Dimensions

Abstract

One of the dualities in string theory, the F-theory/heterotic string duality in eight dimensions, predicts an interesting correspondence between two seemingly disparate geometrical objects. On one side of the duality there are elliptically fibered K3 surfaces with section. On the other side, one finds elliptic curves endowed with certain flat connections and complexified Kahler classes. This paper is part of a project aimed at establishing the rigorous mathematical results describing the geometry underlying the classical aspects of this duality. The task involves understanding and comparing the classical moduli spaces on the two sides.

43 pages, LaTex

References in corpus (5)

• Evidence for F-Theory
• F-theory and Orientifolds
• Vector Bundles And F Theory
• World-Sheet Corrections Via D-Instantons
• On the Duality between the Heterotic String and F-Theory in 8 Dimensions

Cited by in corpus (12)

• Geometric constraints in dual F-theory and heterotic string compactifications
• Localized modes at a D-brane--O-plane intersection and heterotic Alice strings
• Multiple Fibrations in Calabi-Yau Geometry and String Dualities
• Physics of Infinite Complex Structure Limits in eight Dimensions
• Elliptic K3 Surfaces at Infinite Complex Structure and their Refined Kulikov models
• Six line configurations and string dualities
• Non-Geometric F-Theory-Heterotic Duality
• Non-minimal Elliptic Threefolds at Infinite Distance I: Log Calabi-Yau Resolutions
• Non-minimal Elliptic Threefolds at Infinite Distance II: Asymptotic Physics
• F-theory and the Witten Index
• F-theory Yukawa Couplings and Supersymmetric Quantum Mechanics
• ADE Bundles over Surfaces