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arXiv · 2111.15125

On the duality of F-theory and the CHL string in seven dimensions

Adrian Clingher·Andreas Malmendier
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Abstract

We show that the duality between F-theory and the CHL string in seven dimensions defines algebraic correspondences between K3 surfaces polarized by the rank-ten lattices $H \oplus N$ and $H\oplus E_8(-2)$. In the special case when the F-theory admits an additional anti-symplectic involution or, equivalently, the CHL string admits a symplectic one, both moduli spaces coincide. In this case, we derive an explicit parametrization for the F-theory compactifications dual to the CHL string, using an auxiliary genus-one curve, based on a construction given by Andr\'e Weil.

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Adrian Clingher, Andreas Malmendier. 2021-11-30. On the duality of F-theory and the CHL string in seven dimensions. https://doi.org/10.1007/s00220-022-04374-1

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