Twistor Approach to String Compactifications: a Review Auteur(s): Alexandrov S. (Article) Publié: Physics Reports, vol. 522 p.1-57 (2012) Texte intégral en Openaccess : Ref HAL: hal-00642280_v1 Ref Arxiv: 1111.2892 DOI: 10.1016/j.physrep.2012.09.005 WoS: 000314087300001 Ref. & Cit.: NASA ADS Exporter : BibTex | endNote 38 Citations Résumé: We review a progress in obtaining the complete non-perturbative effective action of type II string theory compactified on a Calabi-Yau manifold. This problem is equivalent to understanding quantum corrections to the metric on the hypermultiplet moduli space. We show how all these corrections, which include D-brane and NS5-brane instantons, are incorporated in the framework of the twistor approach, which provides a powerful mathematical description of hyperkahler and quaternion-Kahler manifolds. We also present new insights on S-duality, quantum mirror symmetry, connections to integrable models and topological strings. Commentaires: 98 pages |