Mathematics Underlying the F-Theory/Heterotic String Duality in Eight Dimensions
Adrian Clingher, John W. Morgan
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.
Create a lesson
Related papers
Heavy-Light Wall Crossings and Motivic Asymptotics of Moduli Spaces of Curves. Part I: Stabilization Graphs and Euler Characteristics
Giordano Cotti
The pliability of del Pezzo surfaces
Elias Kurz, Egor Yasinsky
Hessenberg character
Patrick Brosnan, Jaehyun Hong, Donggun Lee
On the geometric degree of the prolongation varieties of the differential system x1'=x22, x2'=x12
Mattia Puddu
The super Weil-Petersson asymptotic expansion and the coefficients
Xuanyu Huang, Kefeng Liu, Hao Xu
On the proof of multi-variable n/d-conjecture for hyperplane arrangements
Rui Tan, Fanghan Xiang