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Weight Functions and Drinfeld Currents

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Abstract

A universal weight function for a quantum affine algebra is a family of functions with values in a quotient of its Borel subalgebra, satisfying certain coalgebraic properties. In representations of the quantum affine algebra it gives off-shell Bethe vectors and is used in the construction of solutions of the qKZ equations. We construct a universal weight function for each untwisted quantum affine algebra, using projections onto the intersection of Borel subalgebras of different types, and study its functional properties.

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Authors and Affiliations

  1. IRMA (CNRS), 7 rue René Descartes, F-67084, Strasbourg, France

    B. Enriquez

  2. Institute of Theoretical & Experimental Physics, 117259, Moscow, Russia

    S. Khoroshkin & S. Pakuliak

  3. Laboratory of Theoretical Physics, JINR, 141980, Dubna, Moscow reg., Russia

    S. Pakuliak

Authors
  1. B. Enriquez
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  2. S. Khoroshkin
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  3. S. Pakuliak
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Correspondence to B. Enriquez.

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Communicated by L. Takhtajan

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Enriquez, B., Khoroshkin, S. & Pakuliak, S. Weight Functions and Drinfeld Currents. Commun. Math. Phys. 276, 691–725 (2007). https://doi.org/10.1007/s00220-007-0351-y

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  • DOI: https://doi.org/10.1007/s00220-007-0351-y

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