%0 Journal Article
%T Modularity, Quaternion-Kahler spaces and Mirror Symmetry
%+ Laboratoire Charles Coulomb (L2C)
%A Alexandrov, Sergey
%A Banerjee, Sibasish
%Z 28 pages. We are grateful to Carlos Contou-Carrere, Daniel Persson, and Boris Pioline for useful discussions.
%< avec comité de lecture
%Z L2C:13-132
%@ 0022-2488
%J Journal of Mathematical Physics
%I American Institute of Physics (AIP)
%V 54
%P 102301
%8 2013-10-30
%D 2013
%Z 1306.1837
%R 10.1063/1.4826603
%Z Physics [physics]/High Energy Physics - Theory [hep-th]
%Z Physics [physics]/Mathematical Physics [math-ph]
%Z Mathematics [math]/Mathematical Physics [math-ph]Journal articles
%X 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.
%G English
%L hal-00834815
%U https://hal.science/hal-00834815
%~ CNRS
%~ L2C
%~ TDS-MACS
%~ MIPS
%~ UNIV-MONTPELLIER
%~ UM-2015-2021