One loop effective potential in heterotic M-theory

TL;DR

This paper calculates the one-loop effective potential in heterotic M-theory compactified to five dimensions, finding it generally vanishes due to cancellations, except for possible higher-order string correction terms.

Contribution

It provides the first detailed calculation of the one-loop effective potential in heterotic M-theory compactifications with multiple Kähler moduli.

Findings

Effective potential largely cancels out due to fermion-boson symmetry.

Remaining potential contributions are from higher-order curvature corrections.

Results suggest stability features in heterotic M-theory compactifications.

Abstract

We have calculated the one loop effective potential of the vector multiplets arising from the compactification to five dimensions of heterotic M-theory on a Calabi-Yau manifold with h^{1,1}>1. We find that extensive cancellations between the fermionic and bosonic sectors of the theory cause the effective potential to vanish, with the exception of a higher order curvature term of the type which might arise from string corrections.