New Discrete States of Strings Near a Black Hole

We find the physical spectrum for the “black hole” solution recently proposed by E. Witten as an exact string background with a 2-dimensional target space. The spectrum contains some of the states found in studies of d = 1 non-critical string theory but, in addition, has new states not previously found in the d = 1 non-critical string. Along the way we find a remarkable “stringy” symmetry of the spectrum relating massive states to massless ones.