Yangian symmetry in conformal field theory
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چکیده
We show that the SU(N), level-1 Wess-Zumino-Witten conformal field theory provides a natural realization of the Yangian Y(sl~) for N _> 3. We also construct a hamiltonian/-/2 which commutes with the Yangian generators and study its spectrum. Our results, which generalize work by Haldane et al. [ 1 ], provide the field theory extension of the algebraic structure of the SU(N) Haldane-Shastry spin chains with 1/r 2 exchange.
منابع مشابه
Yangian Symmetry in Conformal Field Theory
We show that the SU(N), level-1 Wess-Zumino-Witten conformal field theory provides a natural realization of the Yangian Y (slN) for N ≥ 3. We also construct a hamiltonian H2 which commutes with the Yangian generators and study its spectrum. Our results, which generalize work by Haldane et al. [1], provide the field theory extension of the algebraic structure of the SU(N) Haldane-Shastry spin ch...
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