Density-matrix renormalization-group simulation of the SU(3) antiferromagnetic Heisenberg model

We analyze the antiferromagnetic $\mathit{SU}(3)$ Heisenberg chain by means of the density-matrix renormalization group. The results confirm that the model is critical and the computation of its central charge and the scaling dimensions of the first-excited states show that the underlying low-energy conformal field theory is the $\mathit{SU}{(3)}_{1}$ Wess-Zumino-Novikov-Witten model.