Comments on A, B, C chains of heterotic and type II vacua

DOI10.1016/S0550-3213(97)00374-XzbMath0934.81046arXivhep-th/9703148OpenAlexW3103865250MaRDI QIDQ1366570

Eugene Perevalov, Philip Candelas, 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/9703148

zbMATH Keywords

toric varietiessingularitiesCalabi-Yau manifoldstoric geometryK3 surfacescompactified heterotic stringsdual F-theory vacua

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) 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

F-theory on genus-one fibrations, Mordell-Weil torsion and the global structure of gauge groups in F-theory, Toric elliptic fibrations and F-theory compactifications, \(\mathrm{U}(1)\) symmetries in F-theory GUTs with multiple sections, Enhanced gauge symmetry in type II and F-theory compactifications: Dynkin diagrams from polyhedra, Tops as building blocks for \(G_2\) manifolds, G-flux in F-theory and algebraic cycles, \(SU(5)\) tops with multiple \(U(1)\)s in F-theory, Calabi-Yau manifolds by Borcea-Voisin method, Weak coupling limit of F-theory models with MSSM spectrum and massless U(1)'s, Puzzles on the duality between heterotic and type IIA strings, Jacobi forms of higher index and paramodular groups in \( \mathcal{N} = 2\), \(D= 4\) compactifications of string theory, On type IIB vacua with varying coupling constant., ON ELEVATING FREE-FERMION Z₂×Z₂ ORBIFOLDS MODELS TO COMPACTIFICATIONS OF F THEORY, String dualities and toric geometry: An introduction

Cites Work

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• String dynamics at strong coupling
• Compactifications of F-theory on Calabi-Yau threefolds. II
• Multiple realisations of \(N=1\) vacua in six dimensions
• Introduction to Toric Varieties. (AM-131)
• Geometric singularities and enhanced gauge symmetries