  The Hull-Strominger system for supersymmetric vacua of the heterotic string
allows general unitary Hermitian connections with torsion and not just the
Chern unitary connection. Solutions on unimodular Lie groups exploiting this
flexibility were found by T. Fei and S.T. Yau. The Anomaly flow is a flow whose
stationary points are precisely the solutions of the Hull-Strominger system.
Here we examine its long-time behavior on unimodular Lie groups with general
unitary Hermitian connections. We find a diverse and intricate behavior, which
depends very much on the Lie group and the initial data.
