Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1994-01-28
Phys.Lett.B331:335-341,1994
Physics
High Energy Physics
High Energy Physics - Theory
LaTex, PUPT-1442
Scientific paper
10.1016/0370-2693(94)91061-8
We show that the $SU(N)$, level-1 Wess-Zumino-Witten conformal field theory provides a natural realization of the Yangian $Y(sl_N)$ for $N\geq 3$. We also construct a hamiltonian $H_2$ which commutes with the Yangian generators and study its spectrum. Our results, which generalize work by Haldane et al.\ \cite{hhtbp}, provide the field theory extension of the algebraic structure of the $SU(N)$ Haldane-Shastry spin chains with $1/r^2$ exchange.
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