# Groupe de Physique Statistique

## Equipe 106, Institut Jean Lamour

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### Articles dans des revues à comité de lecture

 Chiral $SU(2)k$ currents as local operators in vertex models and spin chains Bondesan R., Dubail J., Faribault A., Ikhlef Y. J. Phys. A : Math. Theor. (2015) to appear ArXiv : arxiv:1409.8590 [PDF] The six-vertex model and its spin$-S$ descendants obtained from the fusion procedure are well-known lattice discretizations of the $SU(2)k$ WZW models, with $k=2S$. It is shown that, in these models, it is possible to exhibit a local observable on the lattice that behaves as the chiral current $Ja(z)$ in the continuum limit. The observable is built out of generators of the $su(2)$ Lie algebra acting on a small (finite) number of lattice sites. The construction works also for the multi-critical quantum spin chains related to the vertex models, and is verified numerically for $S=1/2$ and $S=1$ using Bethe Ansatz and form factors techniques.