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TMF, 2007, Volume 150, Number 2, Pages 286–303 (Mi tmf5979)  

This article is cited in 1 scientific paper (total in 1 paper)

Projection method and a universal weight function for the quantum affine algebra $U_q(\widehat{\mathfrak{sl}}_{N+1})$

S. Z. Pakulyakab, S. M. Khoroshkina

a Institute for Theoretical and Experimental Physics (Russian Federation State Scientific Center)
b Joint Institute for Nuclear Research, Bogoliubov Laboratory of Theoretical Physics

Abstract: We calculate the projection of the product of the Drinfeld currents on the intersection of the different Borel subalgebras in the current realization of the quantum affine algebra $U_q(\widehat{\mathfrak{sl}}_{N+1})$. This projection yields a universal weight function and has the structure of nested Bethe vectors.

Keywords: quantum affine algebras, nested Bethe ansatz

DOI: https://doi.org/10.4213/tmf5979

Full text: PDF file (532 kB)
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English version:
Theoretical and Mathematical Physics, 2007, 150:2, 244–258

Bibliographic databases:

Received: 01.05.2006

Citation: S. Z. Pakulyak, S. M. Khoroshkin, “Projection method and a universal weight function for the quantum affine algebra $U_q(\widehat{\mathfrak{sl}}_{N+1})$”, TMF, 150:2 (2007), 286–303; Theoret. and Math. Phys., 150:2 (2007), 244–258

Citation in format AMSBIB
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\paper Projection method and a~universal weight function for the~quantum
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  • http://mi.mathnet.ru/eng/tmf/v150/i2/p286

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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Enriquez, B, “Weight functions and Drinfeld currents”, Communications in Mathematical Physics, 276:3 (2007), 691  crossref  mathscinet  zmath  adsnasa  isi  scopus
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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