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Hidden Yangians in 2D massive current algebras

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Abstract

We define non-local conserved currents in massive current algebras in two dimensions. Our approach is algebraic and non-perturbative. The non-local currents give a quantum field realization of the Yangians. We show how the noncocommutativity of the Yangians is related to the non-locality of the currents. We discuss the implications of the existence of non-local conserved charges on theS-matrices.

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Authors and Affiliations

  1. Service de Physique Théorique de Saclay, F-91191, Gif-sur-Yvette, France

    Denis Bernard

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  1. Denis Bernard
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Communicated by K. Gawedzki

Laboratoire de la Direction des sciences de la matière du Commissariat à l'énergie atomique

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Bernard, D. Hidden Yangians in 2D massive current algebras. Commun.Math. Phys. 137, 191–208 (1991). https://doi.org/10.1007/BF02099123

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  • DOI: https://doi.org/10.1007/BF02099123

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