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The Poisson algebra of the invariant charges of the Nambu-Goto theory: Casimir elements

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Abstract

The reparametrization invariant “non-local” conserved charges of the Nambu-Goto theory form an algebra under Poisson bracket operation. The center of the formal closure of this algebra is determined. The relation of the central elements to the constraints of the Nambu-Goto theory is clarified.

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References

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Authors and Affiliations

  1. Department of Physics and Lawrence Berkeley Laboratory, University of California, 94720, Berkeley, CA, USA

    K. Pohlmeyer

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  1. K. Pohlmeyer
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Communicated by K. Osterwalder

On leave of absence from Physics Faculty, University of Freiburg, Federal Republic of Germany

This work was supported by Stiftung Volkswagenwerk, Deutsche Forschungsgemeinschaft and by the Director, Office of Energy Research, Office of High Energy and Nuclear Physics, Division of High Energy Physics of the U.S. Department of Energy under Contract De-AC03-76SF0098

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Pohlmeyer, K. The Poisson algebra of the invariant charges of the Nambu-Goto theory: Casimir elements. Commun.Math. Phys. 114, 351–362 (1988). https://doi.org/10.1007/BF01242135

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  • DOI: https://doi.org/10.1007/BF01242135

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