Heterotic/Heterotic and Heterotic/F-theory Duality

Abstract

We consider heterotic target space dual (0,2) GLSMs on elliptically fibered Calabi-Yau manifolds. In this context, each half of the "dual" heterotic theories must in turn have an F-theory dual. Moreover, the apparent relationship between two heterotic compactifications seen in (0,2) heterotic target space dual pairs should, in principle, induce some putative correspondence between the dual F-theory geometries. It has previously been conjectured in the literature that (0,2) target space duality might manifest in F-theory as multiple K3-fibrations of the same elliptically fibered Calabi-Yau manifold. In this work we investigate this conjecture in the context of both 6-dimensional and 4-dimensional effective theories and demonstrate that in general, (0,2) target space duality cannot be explained by such a simple phenomenon alone. In all cases, we provide evidence that non-geometric data in F-theory must play at least some role in the induced F-theory correspondence, while leaving the full determination of the putative new F-theory duality to future work.

arXiv comment37 pages, 1 figure

References in corpus (34)

• Phases of $N=2$ Theories In Two Dimensions
• Evidence for F-Theory
• CFT's From Calabi-Yau Four-folds
• Compactifications of F-Theory on Calabi--Yau Threefolds -- II
• Compactifications of F-Theory on Calabi--Yau Threefolds -- I
• Geometric Singularities and Enhanced Gauge Symmetries
• Vector Bundles And F Theory
• GUTs and Exceptional Branes in F-theory - I
• Evidence for Heterotic/Heterotic Duality
• Les Houches Lectures on Constructing String Vacua
• T-Branes and Monodromy
• Vector Bundles over Elliptic Fibrations
• Moduli in N=1 heterotic/F-theory duality
• Cohomology of Line Bundles: A Computational Algorithm
• T-Branes and Geometry
• The Atiyah Class and Complex Structure Stabilization in Heterotic Calabi-Yau Compactifications
• Stabilizing the Complex Structure in Heterotic Calabi-Yau Vacua
• Fibrations in CICY Threefolds
• TASI Lectures on Supergravity and String Vacua in Various Dimensions
• Duality of (0,2) String Vacua
• Resolving Singularities in (0,2) Models
• T-Branes at the Limits of Geometry
• TASI Lectures on F-theory
• Multiple Fibrations in Calabi-Yau Geometry and String Dualities
• Aspects of the Hypermultiplet Moduli Space in String Duality
• Target Space Duality for (0,2) Compactifications
• Heterotic and M-theory Compactifications for String Phenomenology
• Singular Geometry and Higgs Bundles in String Theory
• Some Features of (0,2) Moduli Space
• F-theory and linear sigma models
• Tools for CICYs in F-theory
• Landscape Study of Target Space Duality of (0,2) Heterotic String Models
• (0,2) Target Space Duality, CICYs and Reflexive Sheaves
• New Evidence for (0,2) Target Space Duality

Cited by in corpus (5)

• Quasi-Jacobi Forms, Elliptic Genera and Strings in Four Dimensions
• Cohomology Chambers on Complex Surfaces and Elliptically Fibered Calabi-Yau Three-folds
• Extending the Geometry of Heterotic Spectral Cover Constructions
• Heterotic Complex Structure Moduli Stabilization for Elliptically Fibered Calabi-Yau Manifolds
• Yukawa Textures From Singular Spectral Data