%0 Conference Proceedings %T D-instantons, Quantum mirror symmetry and Integrability %+ Laboratoire de Physique Théorique et Astroparticules (LPTA) %A Alexandrov, Sergey %F Invité %< avec comité de lecture %Z LPTA:10-055 %B Topological Strings, Modularity and non-perturbative Physics %C Vienna, Austria %8 2010-07-19 %D 2010 %Z Physics [physics]/High Energy Physics - Theory [hep-th]Conference papers %X I'll present recent results on the non-perturbative description of the hypermultiplet moduli space of compactified Type II string theory. The geometry of the moduli space gets instanton corrections due to D-branes and I'll show how one can describe all these D-instantons using the twistor approach to quaternionic geometries. These results are used to get a quantum completion of the classical mirror map and to show a deep relation of the twistor description of D-instantons to integrability. %G English %L hal-00506437 %U https://hal.science/hal-00506437 %~ IN2P3 %~ LPTA %~ CNRS %~ UNIV-MONTP2 %~ UNIV-MONTPELLIER %~ UM1-UM2