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arXiv · 1306.1837

Modularity, Quaternion-Kahler spaces and Mirror Symmetry

Sergei Alexandrov·Sibasish Banerjee
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Abstract

We provide an explicit twistorial construction of quaternion-Kahler manifolds obtained by deformation of c-map spaces and carrying an isometric action of the modular group SL(2,Z). The deformation is not assumed to preserve any continuous isometry and therefore this construction presents a general framework for describing NS5-brane instanton effects in string compactifications with N=2 supersymmetry. In this context the modular invariant parametrization of twistor lines found in this work yields the complete non-perturbative mirror map between type IIA and type IIB physical fields.

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Sergei Alexandrov, Sibasish Banerjee. 2013-06-07. Modularity, Quaternion-Kahler spaces and Mirror Symmetry. https://doi.org/10.1063/1.4826603

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