Construction of Yangian algebra through a multideformation parameter dependent rational $R$matrix
Abstract
YangBaxterising a braid group representation associated with multideformed version of $GL_{q}(N)$ quantum group and taking the corresponding $q\rightarrow 1$ limit, we obtain a rational $R$matrix which depends on $\left ( 1+ {N(N1) \over 2} \right ) $ number of deformation parameters. By using such rational $R$matrix subsequently we construct a multiparameter dependent extension of $Y(gl_N)$ Yangian algebra and find that this extended algebra leads to a modification of usual asymptotic condition on monodromy matrix $T(\lambda )$, at $ \lambda \rightarrow \infty $ limit. Moreover, it turns out that, there exists a nonlinear realisation of this extended algebra through the generators of original $Y(gl_N)$ algebra. Such realisation interestingly provides a novel $\left ( 1 + { N(N1) \over 2 } \right ) $ number of deformation parameter dependent coproduct for standard $Y(gl_N)$ algebra.
 Publication:

arXiv eprints
 Pub Date:
 September 1994
 arXiv:
 arXiv:hepth/9409178
 Bibcode:
 1994hep.th....9178B
 Keywords:

 High Energy Physics  Theory
 EPrint:
 14 pages plain LATEX