Multi-Instanton Corrections to Superpotentials in Type II Compactifications

TL;DR

This paper investigates multi-instanton effects in type II string compactifications, demonstrating how they generate non-perturbative superpotential corrections in specific geometric and gauge theory setups.

Contribution

It provides explicit examples of multi-instanton configurations that produce superpotential corrections, highlighting the role of zero mode lifting and interactions.

Findings

Multi-instantons generate superpotential corrections in specific compactifications.

Zero modes at intersections are lifted via F- and D-term interactions.

Explicit models show effective non-perturbative superpotential contributions.

Abstract

We consider two simple examples of multi-instanton configurations in type II 4d N=1 superstring compactifications. The first one involves O(1) and U(1) D2-instantons embedded in T^6/(Z_2 x Z_2') geometry with SU(4) gauge symmetry coming from D6-branes and the second is related to quiver gauge theory of orientifolded orbifold of conifold containing fractional D(-1)-instantons and D3-branes. The additional zero modes of instantons which appear at the intersection points are lifted through interactions stemming from dimensionally reduced F- and D-terms. It is shown that multi-instanton configurations effectively generate corrections to the usual non-perturbative superpotential for chiral matter.