  Recently a new class of quantum integrable models, the cyclotomic Gaudin
models, were described in arXiv:1409.6937, arXiv:1410.7664. Motivated by these,
we identify a class of affine hyperplane arrangements that we call cyclotomic
discriminantal arrangements. We establish correspondences between the flag and
Aomoto complexes of such arrangements and chain complexes for nilpotent
subalgebras of Kac-Moody type Lie algebras with diagram automorphisms.
  As a byproduct, we show that the Bethe vectors of cyclotomic Gaudin models
associated to diagram automorphisms are nonzero.
