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On factorizing twists for the Yangian and the quantum affine algebra

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Czechoslovak Journal of Physics Aims and scope

Abstract

We calculate explicit expressions for factorizing Drinfel’d twists in evaluation representations of the YangianY(sl2) and of the quantum affine algebraUq \(\left( {\widehat{\mathfrak{s}\mathfrak{l}}2} \right)\). From the twists we derive a closed and representation-independent form of theR-matrices in these representations. Employing a carefully chosen basis it is possible to recover the results for the Yangian (rational case) as theq → 1 limit of the expressions for the quantum affine algebra (trigonometric case).

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Authors and Affiliations

  1. Department of Applied Mathematics and Theoretical Physics, Centre for Mathematical Sciences, Wilberforce Road, CB3 0WA, Cambridge, UK

    Hendryk Pfeiffer

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  1. Hendryk Pfeiffer
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Pfeiffer, H. On factorizing twists for the Yangian and the quantum affine algebra. Czech J Phys 51, 1420–1425 (2001). https://doi.org/10.1023/A:1013350910231

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  • DOI: https://doi.org/10.1023/A:1013350910231

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