notice that the existence of our solution is very encouraging in view of of the fact that solutions with tachyons are unstable and supersymmetric ones without tachyons have yet to be shown to be consistent with phenomenology. There are possibly an infinite number of other stable solutions, including fermionic degrees of freedom, some of which might be closer to the usual Fock representation of string theory than the one we will give in this paper but also much simpler, especially in lower dimensions, which has obious advantages for model building. Indeed, we encourge string theorists and algebraic quantum field theorists to look at the string more abstractly from the algebraic point of view and to systematically develop its representation theory.\
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The present paper is organized as follows:\
Sections two through five merely summarize background material on the classical Nambu – Goto string, its theory of invariants, AQFT and LQG respectively. We have included this material for the benefit of readers from various backgrounds in order to make the paper accessible to a wide audience. These sections can be safely skipped by the experts. The main results of this paper are contained in section six which we summarize once more 