F-theory duals of non-perturbative heterotic \(E_8\times E_8\) vacua in six dimensions

DOI10.1016/S0550-3213(97)00375-1zbMath0934.81047arXivhep-th/9606133OpenAlexW2977393559MaRDI QIDQ1366571

Philip Candelas, Eugene Perevalov, Govindan Rajesh

Publication date: 10 September 1997

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9606133

zbMATH Keywords

toric varietiessingularitiestoric geometryhypersurfacesdual Calabi Yau polyhedronHirzebruch surface blow up

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) String and superstring theories in gravitational theory (83E30) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Applications of compact analytic spaces to the sciences (32J81)

Related Items

Brane tilings and reflexive polygons, Toric elliptic fibrations and F-theory compactifications, Multiple fibrations in Calabi-Yau geometry and string dualities, Unification of M- and F-theory Calabi-Yau fourfold vacua, Comments on A, B, C chains of heterotic and type II vacua, Enhanced gauge symmetry in type II and F-theory compactifications: Dynkin diagrams from polyhedra, A test of the chiral \(E_8\) current algebra on a 6D non-critical string, Multiple realisations of \(N=1\) vacua in six dimensions, Puzzles on the duality between heterotic and type IIA strings, On the complementarity of F-theory, orientifolds, and heterotic strings, Calabi-Yau 4-folds and toric fibrations, String dualities and toric geometry: An introduction

Cites Work

• Variations of the mixed Hodge structure of affine hypersurfaces in algebraic tori
• Mirror symmetry for Calabi-Yau hypersurfaces in weighted \(\mathbb{P}_4\) and extensions of Landau-Ginzburg theory
• Second-quantized mirror symmetry
• Non-perturbative results on the point particle limit of \(N=2\) heterotic string compactifications
• Chains of \(N=2, D=4\) heterotic/type II duals
• Introduction to Toric Varieties. (AM-131)