3 citations · 3 across the 1 of their papers we have counts for
5 papers
Regularity of quantum tau-functions generated by quantum birational Weyl group actions
Gen Kuroki
We canonically quantize the tau-functions for the birational Weyl group action arising from a nilpotent Poisson algebra proposed by Noumi and Yamada. We also construct the q-differ…
Quantum groups and quantization of Weyl group symmetries of Painlevé systems
Gen Kuroki
We shall construct the quantized q-analogues of the birational Weyl group actions arising from nilpotent Poisson algebras, which are conceptual generalizations, proposed by Noumi a…
Wess-Zumino-Witten model on elliptic curves at the critical level
Gen Kuroki, Takashi Takebe
We construct a Gaudin type lattice model as the Wess-Zumino-Witten model on elliptic curves at the critical level. Bethe eigenvectors are obtained by the bosonisation technique.
Bosonization and integral representation of solutions of the Knizhnik-Zamolodchikov-Bernard equations
Gen Kuroki, Takashi Takebe
We construct an integral representation of solutions of the Knizhnik-Zamolodchikov-Bernard equations, using the Wakimoto modules.
Twisted Wess-Zumino-Witten models on elliptic curves
Gen Kuroki, Takashi Takebe
Investigated is a variant of the Wess-Zumino-Witten model called a twisted WZW model, which is associated to a certain Lie group bundle on a family of elliptic curves. The Lie grou…