Fivebrane instantons and Calabi-Yau fourfolds with flux

TL;DR

This paper calculates the effects of fivebrane instantons in M-theory compactified on Calabi-Yau fourfolds with flux, showing they do not generate a superpotential, aligning with a flux-modified arithmetic genus criterion.

Contribution

It provides a detailed computation of fivebrane instanton contributions in flux compactifications, demonstrating the absence of superpotential generation in this context.

Findings

No superpotential is generated by fivebrane instantons with four fermionic zero modes.

The result aligns with a flux-dependent modification of the arithmetic genus criterion.

Supports the understanding of non-perturbative effects in flux compactifications.

Abstract

Using recent results on eleven-dimensional superspace, we compute the contribution of fivebrane instantons with four fermionic zeromodes in M-theory compactifications on Calabi-Yau fourfolds with flux. We find that no superpotential is generated in this case. This result is compatible with a certain flux-dependent modification of the arithmetic genus criterion.