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- Modularity, Quaternion-Kahler spaces and Mirror Symmetry doi link

Auteur(s): Alexandrov S., Banerjee S.

(Article) Publié: Journal Of Mathematical Physics, vol. 54 p.102301 (2013)
Texte intégral en Openaccess : arxiv


Ref HAL: hal-00834815_v1
Ref Arxiv: 1306.1837
DOI: 10.1063/1.4826603
WoS: 000326638100015
Ref. & Cit.: NASA ADS
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Résumé:

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.



Commentaires: 28 pages. We are grateful to Carlos Contou-Carrere, Daniel Persson, and Boris Pioline for useful discussions.