K3 surfaces, modular forms, and non-geometric heterotic compactifications

A Malmendier, DR Morrison - Letters in Mathematical Physics, 2015 - Springer
We construct non-geometric compactifications using the F-theory dual of the heterotic string
compactified on a two-torus, together with a close connection between Siegel modular forms …

Nongeometric heterotic strings and dual F-theory with enhanced gauge groups

Y Kimura - Journal of High Energy Physics, 2019 - Springer
A bstract Eight-dimensional nongeometric heterotic strings were constructed as duals of F-
theory on Λ 1, 1⊕ E 8⊕ E 7 lattice polarized K3 surfaces by Malmendier and Morrison. We …

[HTML][HTML] The Satake sextic in F-theory

A Malmendier, T Shaska - Journal of Geometry and Physics, 2017 - Elsevier
We describe explicit formulas relevant to the F-theory/heterotic string duality that reconstruct
from a specific Jacobian elliptic fibration on the Shioda–Inose surface covering a generic …

Six line configurations and string dualities

A Clingher, A Malmendier, T Shaska - Communications in Mathematical …, 2019 - Springer
We study the family of K3 surfaces of Picard rank sixteen associated with the double cover of
the projective plane branched along the union of six lines, and the family of its Van Geemen …

Heterotic T-fects, 6D SCFTs, and F-theory

A Font, I García-Etxebarria, D Lüst, S Massai… - Journal of High Energy …, 2016 - Springer
A bstract We study the (1, 0) six-dimensional SCFTs living on defects of non-geometric
heterotic backgrounds (T-fects) preserving a E 7× E 8 subgroup of E 8× E 8. These …

[HTML][HTML] Lattice polarized K3 surfaces and Siegel modular forms

A Clingher, CF Doran - Advances in Mathematics, 2012 - Elsevier
The goal of the present paper is two-fold. First, we present a classification of algebraic K3
surfaces polarized by the lattice H⊕ E8⊕ E7. Key ingredients for this classification are as …

Unbroken nongeometric heterotic strings, stable degenerations and enhanced gauge groups in F-theory duals

Y Kimura - arXiv preprint arXiv:1902.00944, 2019 - arxiv.org
Eight-dimensional non-geometric heterotic strings with gauge algebra $\mathfrak {e}
_8\mathfrak {e} _7 $ were constructed by Malmendier and Morrison as heterotic duals of F …

Nongeometric -theory–heterotic duality

J Gu, H Jockers - Physical Review D, 2015 - APS
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 …

The duality between F-theory and the heterotic string in with two Wilson lines

A Clingher, T Hill, A Malmendier - Letters in Mathematical Physics, 2020 - Springer
We construct non-geometric string compactifications by using the F-theory dual of the
heterotic string compactified on a two-torus with two Wilson line parameters, together with a …

Van Geemen-Sarti involutions and elliptic fibrations on K3 surfaces double cover of ℙ2

P Comparin, A Garbagnati - Journal of the Mathematical Society of …, 2014 - jstage.jst.go.jp
In this paper we classify the elliptic fibrations on K3 surfaces which are the double cover of a
blow up of P2 branched along rational curves and we give equations for many of these …