The duality between F-theory and the heterotic string in D=8 with two Wilson lines

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 close connection between modular forms and the equations for certain K3 surfaces of Picard rank 16. We construct explici...

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Bibliographic Details
Published in:Letters in mathematical physics 2020-11, Vol.110 (11), p.3081-3104
Main Authors: Clingher, Adrian, Hill, Thomas, Malmendier, Andreas
Format: Article
Language:English
Subjects:
Analytic functions
Complex Systems
Geometry
Group Theory and Generalizations
Mathematical and Computational Physics
Parameters
Physics
Physics and Astronomy
Strings
Theoretical
Toruses
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Summary: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 close connection between modular forms and the equations for certain K3 surfaces of Picard rank 16. We construct explicit Weierstrass models for all inequivalent Jacobian elliptic fibrations supported on this family of K3 surfaces and express their parameters in terms of modular forms generalizing Siegel modular forms. In this way, we find a complete list of all dual non-geometric compactifications obtained by the partial Higgsing of the heterotic string gauge algebra using two Wilson line parameters.
ISSN:0377-9017
1573-0530
DOI:10.1007/s11005-020-01323-8