Hypermultiplet metric and D-instantons
arXiv:1412.8182 · doi:10.1007/JHEP02(2015)176
Abstract
We use the twistorial construction of D-instantons in Calabi-Yau compactifications of type II string theory to compute an explicit expression for the metric on the hypermultiplet moduli space affected by these non-perturbative corrections. In this way we obtain an exact quaternion-Kahler metric which is a non-trivial deformation of the local c-map. In the four-dimensional case corresponding to the universal hypermultiplet, our metric fits the Tod ansatz and provides an exact solution of the continuous Toda equation. We also analyze the fate of the curvature singularity of the perturbative metric by deriving an S-duality invariant equation which determines the singularity hypersurface after inclusion of the D(-1)-instanton effects.
20+12+4 pages
References in corpus (15)
- Stability structures, motivic Donaldson-Thomas invariants and cluster transformations
- String loop corrected hypermultiplet moduli spaces
- Nonperturbative corrections to 4D string theory effective actions from SL(2,Z) duality and supersymmetry
- D-instantons and twistors
- On de Sitter Vacua in Type IIA Orientifold Compactifications
- Quantum mirror symmetry and twistors
- Linear perturbations of Hyperkahler metrics
- Membrane and fivebrane instantons from quaternionic geometry
- Large D-instanton effects in string theory
- index for four-dimensional field theories
- S-duality in Twistor Space
- Dualities and fivebrane instantons
- On the topology of the hypermultiplet moduli space in type II/CY string vacua
- Fivebrane instantons in Calabi-Yau compactifications
- Membrane Instantons from Toda Field Theory