In summary: Fock representation of current string theory and hence would not be generic.The solution presented in this paper exploits the flatness of the target space in several important ways. In a companion paper we treat the more complicated case of curved target spaces. Thiemann's conclusions paragraph suggests that combining canonical and algebraic methods may be fruitful in analyzing the string and its representations. He also mentions that the specific Fock representation used in string theory may not be the end of the story and that there may be simpler representations of the string, particularly in lower dimensions and possibly without supersymmetry, that could solve some of the current puzzles in string theory. This would demonstrate that the critical dimensions, supersymmetry, and matter content of the
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Well, the Colosi-Rovelli paper doesn't contain the word polymer at least!