The Gervais-Neveu-Felder equation and the quantum Calogero-Moser systems
J Avan, O Babelon, E Billey - Communications in mathematical physics, 1996 - Springer
We quantize the spin Calogero-Moser model in the R-matrix formalism. The quantum R-
matrix of the model is dynamical. This R-matrix has already appeared in Gervais-Neveu's …
matrix of the model is dynamical. This R-matrix has already appeared in Gervais-Neveu's …
Universal exchange algebra for Bloch waves and Liouville theory
O Babelon - Communications in mathematical physics, 1991 - Springer
We derive a universal formula for the exchange algebra in the Bloch wave basis. The main
tool we use is a lattice version of the Coulomb gas picture of conformal field theory, making …
tool we use is a lattice version of the Coulomb gas picture of conformal field theory, making …
Quantum Toda theory
O Babelon, L Bonora - Physics Letters B, 1991 - Elsevier
We define a lattice version of the Coulomb gas picture of conformal quantum field theory
which exhibits its quantum group structure. The derivation of the exchange algebra in the …
which exhibits its quantum group structure. The derivation of the exchange algebra in the …
Connection between the affine and conformal affine Toda models and their Hirota solution
It is shown that the affine Toda models (AT) constitute a “gauge fixed” version of the
conformal affine Toda model (CAT). This result enables one to map every solution of the AT …
conformal affine Toda model (CAT). This result enables one to map every solution of the AT …
Chiral extensions of the WZNW phase space, Poisson–Lie symmetries and groupoids
The chiral WZNW symplectic form Ω ρchir is inverted in the general case. Thereby a precise
relationship between the arbitrary monodromy dependent 2-form appearing in Ω ρchir and …
relationship between the arbitrary monodromy dependent 2-form appearing in Ω ρchir and …
On anomalies in classical dynamical systems
F Toppan - Journal of Nonlinear Mathematical Physics, 2001 - Taylor & Francis
The definition of “classical anomaly” is introduced. It describes the situation in which a purely
classical dynamical system which presents both a lagrangian and a hamiltonian formulation …
classical dynamical system which presents both a lagrangian and a hamiltonian formulation …
Integrable -graded Extensions of the Liouville and Sinh-Gordon Theories
N Aizawa, R Ito, Z Kuznetsova, T Tanaka… - arXiv preprint arXiv …, 2024 - arxiv.org
In this paper we present a general framework to construct integrable $\mathbb {Z} _2^ 2$-
graded extensions of classical, two-dimensional Toda and conformal affine Toda theories …
graded extensions of classical, two-dimensional Toda and conformal affine Toda theories …
The chiral WZNW phase space and its Poisson-Lie groupoid
The precise relationship between the arbitrary monodromy dependent 2-form appearing in
the chiral WZNW symplectic form and the 'exchange r-matrix'that governs the corresponding …
the chiral WZNW symplectic form and the 'exchange r-matrix'that governs the corresponding …
Lattice WN algebra and its quantization
K Hikami - Nuclear Physics B, 1997 - Elsevier
B Lattice WN algebra and its quantization Page 1 ELSEVIER Nuclear Physics B 505 IPM] (1997)
749-770 p.¢ .... i ! ~,L B Lattice WN algebra and its quantization Kazuhiro Hikami l Department …
749-770 p.¢ .... i ! ~,L B Lattice WN algebra and its quantization Kazuhiro Hikami l Department …
Quantum sln Toda field theories
L Bonora, V Bonservizi - Nuclear Physics B, 1993 - Elsevier
We quantize sl n Toda field theories in a periodic lattice. We find the quantum exchange
algebra in the diagonal monodromy (Bloch-wave) basis in the case of the defining …
algebra in the diagonal monodromy (Bloch-wave) basis in the case of the defining …