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Uncovering the detailed structure of the algebra formed by the invariant charges of closed bosonic strings moving in 1+2-dimensional Minkowski space

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For the Nambu-Goto theory of closed, bosonic strings moving in three space-time dimensions, generating relations of degree ≤6 for the Poisson algebra of the infinitesimal generators of observable symmetry transformations have been computed. These computations result in a deeper insight into the structure of the symmetry algebra. In addition, a parametrization of the quantum corrections for the generating relations of degree 3 is given.

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Communicated by N. Yu. Reshetikhin

This work was supported by Volkswagenstiftung

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Pohlmeyer, K. Uncovering the detailed structure of the algebra formed by the invariant charges of closed bosonic strings moving in 1+2-dimensional Minkowski space. Commun.Math. Phys. 163, 629–643 (1994). https://doi.org/10.1007/BF02101465

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