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

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Abstract

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.

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  1. Andreas Malmendier

    Present address: Department of Mathematics and Statistics, Utah State University, Logan, UT, 84322, USA

Authors and Affiliations

  1. Department of Mathematics and Statistics, Colby College, Waterville, ME, 04901, USA

    Andreas Malmendier

  2. Department of Mathematics, University of California, Santa Barbara, CA, 93106, USA

    David R. Morrison

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  1. Andreas Malmendier
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  2. David R. Morrison
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Correspondence to David R. Morrison.

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Malmendier, A., Morrison, D.R. K3 Surfaces, Modular Forms, and Non-Geometric Heterotic Compactifications. Lett Math Phys 105, 1085–1118 (2015). https://doi.org/10.1007/s11005-015-0773-y

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  • DOI: https://doi.org/10.1007/s11005-015-0773-y

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