Primary charged and neutral spin-4 currents are identified in the Grassmannian-like coset model by extracting the second-order poles in OPEs of charged-neutral and neutral-neutral spin-3 currents.
Yangian Symmetry in Conformal Field Theory
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abstract
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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A Charged and Neutral Spin-$4$ Currents in the Grassmannian-like Coset Model
Primary charged and neutral spin-4 currents are identified in the Grassmannian-like coset model by extracting the second-order poles in OPEs of charged-neutral and neutral-neutral spin-3 currents.