An infinite number of potentials surrounding the 2d black hole

We found an infinite number of potentials surrounding the 2d black hole. According to the transmission T and reflection R coefficients for scattering of string fields off the 2d black hole, we can classify an infinite number of potentials into three: graviton-dilaton, tachyon and the other types. We suggest that the discrete states from all the Virasoro levels be candidates for new potentials (modes).