Abstract
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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References
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© 1990 Springer Science+Business Media New York
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Pohlmeyer, K. (1990). Hidden Symmetries of Strings and Their Relevance for String Quantization. In: Chau, LL., Nahm, W. (eds) Differential Geometric Methods in Theoretical Physics. NATO ASI Series, vol 245. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-9148-7_42
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DOI: https://doi.org/10.1007/978-1-4684-9148-7_42
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4684-9150-0
Online ISBN: 978-1-4684-9148-7
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