D-instanton Induced Superpotential
arXiv:2204.02981 · doi:10.1007/JHEP07(2022)090
Abstract
We use string field theory to fix the normalization of the D-instanton corrections to the superpotential involving the moduli fields of type II string theory compactified on an orientifold of a Calabi-Yau threefold in the absence of fluxes. We focus on instantons whose only zero modes are the four bosonic modes associated with translation of the instanton in non-compact directions and a pair of fermionic zero modes associated with the two supercharges broken by the instanton. We work with a generic superconformal field theory and express our answer in terms of the spectrum of open strings on the instanton. We analyse the contribution of multi-instantons of this kind to the superpotential and argue that it vanishes when background fluxes are absent.
34+31 pages; v2: references added
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- D-instanton, threshold corrections, and topological string
- The complex Liouville string: worldsheet boundaries and non-perturbative effects