  We investigate spin-triplet exciton condensation in the two-orbital Hubbard
model close to half filling by means of dynamical mean-field theory. Employing
an impurity solver that handles complex off-diagonal hybridization functions,
we study the behavior of excitonic condensate in stoichiometric and doped
systems subject to external magnetic field. We find a general tendency of the
triplet order parameter to lay perpendicular with the applied field and
identify exceptions from this rule. For solutions exhibiting k-odd spin
textures, we discuss the Bloch theorem which, in the absence of spin-orbit
coupling, forbids the appearance of spontaneous net spin current. We
demonstrate that the Bloch theorem is not obeyed by the dynamical mean-field
theory.
