Otro
Toda lattice field theories, discrete W algebras, Toda lattice hierarchies and quantum groups
Registro en:
Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, v. 387, n. 4, p. 759-768, 1996.
0370-2693
10.1016/0370-2693(96)01106-9
2-s2.0-0010798478
Autor
Bonora, L.
Colatto, L. P.
Constantinidis, C. P.
Resumen
In analogy with the Liouville case we study the sl3 Toda theory on the lattice and define the relevant quadratic algebra and out of it we recover the discrete W3 algebra. We define an integrable system with respect to the latter and establish the relation with the Toda lattice hierarchy. We compute the relevant continuum limits. Finally we find the quantum version of the quadratic algebra.