Instanton corrected hypermultiplet moduli spaces

Instanton corrections recently played a prominent role both in the context of string cosmology (KKLT models) and particle physics model building. A setup where one might hope to understand these corrections using string dualities and supersymmetry constraints on the low energy effective action (LEEA) is type II string theory compactified on a Calabi-Yau threefold (CY3). In this case the LEEA is aN = 2, d = 4 supergravity action which generically receives quantum corrections from the world sheet conformal field theory (α′-corrections), from higher genus world sheets (perturbative gs-corrections), and from instanton corrections due to Euclidean branes wrapping supersymmetric cycles of the CY3 (non-perturbative gs-corrections). While the α′-corrections to the classical LEEA are well understood, the non-perturbative gs corrections [1] still pose many open questions.