symmtries of the flat worldsheet metric and b) the contraints are implemented only weakly rather than strongly so that one does not perform an honest Dirac quantization. It is therefore not surprising that one usually finds a central charge and that in contrast in our framework CFT methods never play any role as we never have to fix a worldsheet metric. Finally the tachyon in ordinary bosonic string theory is a direct consequence of an ultraviolet divergence in one of the Virasoro generators which is explicitly avoided in LQG. It is therefore not too surprising that we do not find a tachyon.

One can read the results of the present paper partly positively and partly negatively. On the negative side one should notice that, from the purely mathematical point of view, our solution demonstrates that neither a critical dimension nor supersymmetry is a prediction of string theory. Rather, these notions are features of the particular Fock representation of current string theory which is just one solution among possibly zillions of others of the representation problem. Of course, one must show that there are solutions which are physically acceptable from the pheomenological point of view. On the positive side one should 