D-instantons, Quantum mirror symmetry and Integrability

Sergey Alexandrov (1)

1 LPTA - Laboratoire de Physique Théorique et Astroparticules

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.

Domaines: Physique des Hautes Energies - Théorie [hep-th]

Sergey Alexandrov. D-instantons, Quantum mirror symmetry and Integrability. Advances in string theory, wall-crossing, and quaternion-Kähler geometry, Aug 2010, Paris, France. ⟨hal-00515368⟩