K3 Surfaces, Modular Forms, and Non-Geometric Heterotic Compactifications

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 of genus two and the equations of certain K3 surfaces. The modular group mixes together the Kähler, complex structur...

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Bibliographic Details
Published in:Letters in mathematical physics 2015-08, Vol.105 (8), p.1085-1118
Main Authors: Malmendier, Andreas, Morrison, David R.
Format: Article
Language:English
Subjects:
Complex Systems
Geometry
Group Theory and Generalizations
Mathematical and Computational Physics
Physics
Physics and Astronomy
Theoretical
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Summary: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 of genus two and the equations of certain K3 surfaces. The modular group mixes together the Kähler, complex structure, and Wilson line moduli of the torus yielding weakly coupled heterotic string compactifications which have no large radius interpretation.
ISSN:0377-9017
1573-0530
DOI:10.1007/s11005-015-0773-y