Twistor Approach to String Compactifications: a Review

Sergey Alexandrov (1)

1 L2C - Laboratoire Charles Coulomb

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.

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

Sergey Alexandrov. Twistor Approach to String Compactifications: a Review. Physics Reports, 2012, 522 (1), pp.1-57. ⟨10.1016/j.physrep.2012.09.005⟩. ⟨hal-00642280⟩