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Deformed Double Yangian Structures

D. Arnaudon·J. Avan·L. Frappat·M. Rossi
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Abstract

Scaling limits when q tends to 1 of the elliptic vertex algebras A_qp(sl(N)) are defined for any N, extending the previously known case of N=2. They realise deformed, centrally extended double Yangian structures DY_r(sl(N)). As in the quantum affine algebras U_q(sl(N)), and quantum elliptic affine algebras A_qp(sl(N)), these algebras contain subalgebras at critical values of the central charge c=-N-Mr (M integer, 2r=ln p/ln q), which become Abelian when c=-N or 2r=Nh for h integer. Poisson structures and quantum exchange relations are derived for their abstract generators.

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BibTeXRIS

D. Arnaudon, J. Avan, L. Frappat, M. Rossi. 1999-05-18. Deformed Double Yangian Structures. https://doi.org/10.1142/s0129055x00000290

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