D-instanton Induced Superpotential

Sergey Alexandrov (1) , Atakan Hilmi Fırat (2) , Manki Kim (2) , Ashoke Sen (3) , Bogdan Stefański (4)

1 L2C - Laboratoire Charles Coulomb
2 MIT - Massachusetts Institute of Technology
3 DTP - Department of Theoretical Physics [TIFR]
4 Centre for Mathematical Science

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 $O(1)$ 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.

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

Sergey Alexandrov, Atakan Hilmi Fırat, Manki Kim, Ashoke Sen, Bogdan Stefański. D-instanton Induced Superpotential. Journal of High Energy Physics, 2022, 2022, pp.90. ⟨10.1007/JHEP07(2022)090⟩. ⟨hal-03635867⟩