Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1994-09-28
Physics
High Energy Physics
High Energy Physics - Theory
14 pages plain LATEX
Scientific paper
Yang-Baxterising 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(N-1) \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(N-1) \over 2 } \right ) $ number of deformation parameter dependent coproduct for standard $Y(gl_N)$ algebra.
Basu-Mallick Bireswar
Ramadevi P.
No associations
LandOfFree
Construction of Yangian algebra through a multi-deformation parameter dependent rational $R$-matrix does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Construction of Yangian algebra through a multi-deformation parameter dependent rational $R$-matrix, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Construction of Yangian algebra through a multi-deformation parameter dependent rational $R$-matrix will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-117071