Tuesday, June 11, 2013

1306.1837 (Sergei Alexandrov et al.)

Modularity, Quaternion-Kahler spaces and Mirror Symmetry    [PDF]

Sergei Alexandrov, Sibasish Banerjee
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.
View original: http://arxiv.org/abs/1306.1837

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