  A large symmetry group is perhaps experimentally observed in excited hadrons
which includes the chiral group U(2)_L x U(2)_R as a subgroup. To possess this
large symmetry a dynamical model for excited hadrons, presumably a string
model, should explain formation of chiral multiplets and, at the same time,
predict coinciding slopes of the angular and radial Regge trajectories. This is
possible only if both the dynamics of the string and the chirality of the
quarks at the ends of the string are considered together. We construct a
model-independent unitary transformation from the relativistic chiral basis to
the ^{2S+1}L_J basis, commonly used in hadronic phenomenology as well as in the
string models, and demonstrate that a hadron belonging to the given chiral
representation is a fixed superposition of the basis vectors with different L's
and S's. Thus the description of highly excited hadron in terms of a fixed L is
not compatible with chiral symmetry and has to be disregarded in favour of the
description in terms of the total hadron spin J. Therefore, dynamics of the
string must deliver the principal quantum number ~n+J, in order chiral
multiplets with different spins to become degenerate, as required by the large
symmetry group.
