Novel Algebraic Consequences of Chiral Symmetry

Phenomenologically motivated Lie-algebraic sum rules determine the representations of unbroken SU(2)_L X SU(2)_R filled out by mesons containing a single heavy quark, in the limit that the heavy quark mass goes to infinity. This representation content determines the strong single-pion transition amplitudes of all heavy meson states in the chiral limit. Predictions are found to be in agreement with experiment, and provide insight into the spectroscopy of heavy mesons.