Non-Geometric F-Theory-Heterotic Duality

Abstract

In this work we study the duality between F-theory and the heterotic string beyond the stable degeneration limit in F-theory and large fiber limit in the heterotic theory. Building upon a recent proposal by Clingher-Doran and Malmendier-Morrison, which phrases the duality on the heterotic side for a particular class of models in terms of (fibered) genus two curves as non-geometric heterotic compactifications - we establish the precise limit to the semi-classical heterotic string in both eight and lower space-time dimensions. In particular for six dimensional theories, we argue that this class of non-geometric heterotic compactifications capture alpha'-quantum corrections to the semi-classical heterotic supergravity compactifications on elliptically fibered K3 surfaces. From the non-geometric heterotic theory, the semi-classical phase on the K3 surface is recovered from a remarkable limit of genus two Siegel modular forms combined with a geometric surgery operation. Finally, in four dimensions we analyze another limit deep in the quantum regime of the non-geometric heterotic string, which we refer to as the heterotic Sen limit. In this limit we can explicitly argue that the semi-classical two-staged fibrational structure of the heterotic hypermultiplet moduli space - recently established by Alexandrov, Louis, Pioline and Valandro - gets corrected by quantum effects.

arXiv comment10 pages, 1 figure; v2: refs. added

References in corpus (23)

• String Theory Dynamics In Various Dimensions
• Evidence for F-Theory
• Compactifications of F-Theory on Calabi--Yau Threefolds -- II
• Small Instantons in String Theory
• A Geometry for Non-Geometric String Backgrounds
• Vector Bundles And F Theory
• GUTs and Exceptional Branes in F-theory - I
• The Spacetime of Double Field Theory: Review, Remarks, and Outlook
• Lectures on F-theory compactifications and model building
• Orientifold Limit of F-theory Vacua
• Point-like Instantons on K3 Orbifolds
• Moduli Dependence of One--Loop Gauge Couplings in (0,2) Compactifications
• Non-geometric strings, symplectic gravity and differential geometry of Lie algebroids
• Non-Perturbative Superpotentials in F-theory and String Duality
• 3-Cocycles, Non-Associative Star-Products and the Magnetic Paradigm of R-Flux String Vacua
• Non-geometric Fluxes, Asymmetric Strings and Nonassociative Geometry
• On the Duality between the Heterotic String and F-Theory in 8 Dimensions
• Aspects of the Hypermultiplet Moduli Space in String Duality
• Mathematics Underlying the F-Theory/Heterotic String Duality in Eight Dimensions
• K3 surfaces associated with curves of genus two
• Heterotic-type II duality in twistor space
• Heterotic-Type II duality in the hypermultiplet sector
• N=2 Heterotic-Type II duality and bundle moduli

Cited by in corpus (12)

• Non-geometric backgrounds in string theory
• Six line configurations and string dualities
• Nongeometric heterotic strings and dual F-theory with enhanced gauge groups
• Ubiquity of non-geometry in heterotic compactifications
• Non-minimal Elliptic Threefolds at Infinite Distance II: Asymptotic Physics
• E(lementary) Strings in Six-Dimensional Heterotic F-Theory
• The duality between F-theory and the Heterotic String in $D=8$ with two Wilson lines
• Unbroken $E_7\times E_7$ nongeometric heterotic strings, stable degenerations and enhanced gauge groups in F-theory duals
• A Landscape of Field Theories
• On K3 surfaces of Picard rank 14
• On the duality of F-theory and the CHL string in seven dimensions
• A class of non-geometric M-theory compactification backgrounds