Hidden Symmetries of Strings and Their Relevance for String Quantization
The relation between the Nambu-Goto theory of closed bosonic strings and integrable systems is made precise. The complete set of observable symmetries of the classical Nambu-Goto theory is identified, the Poisson-algebra of the corresponding conserved charges is analyzed and the loop wave equation of the Nambu-Goto theory is interpreted as a representation-condition for the symmetry algebra. Further, the WKB quantization of the conserved charges is discussed and consistency conditions for the exact quantization are given.
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- K. Pohlmeyer: “Description of the Poisson Algebra Formed by the Invariant Charges of the Nambu-Goto Theory of Closed Strings Moving in (1+2)-dimensional Minkowski Space” in preparationGoogle Scholar