Looijenga's weighted projective space, Tate's algorithm and Mordell-Weil lattice in F-theory and heterotic string theory

DOI10.1007/JHEP11(2016)053zbMath1390.81458arXiv1607.07280OpenAlexW2501467838MaRDI QIDQ1636465

Shun'ya Mizoguchi, Taro Tani

Publication date: 12 June 2018

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.07280

zbMATH Keywords

F-theorysuperstrings and heterotic strings

Mathematics Subject Classification ID

String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30)

Related Items (5)

F-theory models on \(K3\) surfaces with various Mordell-Weil ranks -- constructions that use quadratic base change of rational elliptic surfaces ⋮ Non-Cartan Mordell-Weil lattices of rational elliptic surfaces and heterotic/F-theory compactifications ⋮ Non-split singularities and conifold transitions in F-theory ⋮ Nongeometric heterotic strings and dual F-theory with enhanced gauge groups ⋮ Structure of stable degeneration of \(K3\) surfaces into pairs of rational elliptic surfaces

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