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.
KeywordsPoisson Bracket Monodromy Matrix Infinitesimal Generator Poisson Algebra Hide Symmetry
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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