Toda lattice field theories, discrete W algebras, Toda lattice hierarchies and quantum groups

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Data

1996-10-31

Autores

Bonora, L.
Colatto, L. P.
Constantinidis, C. P. [UNESP]

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Resumo

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.

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Palavras-chave

Discrete W algebra, N-KdV hierarchy, Quantum W algebra, Toda field theory, Toda lattice hierarchy

Como citar

Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, v. 387, n. 4, p. 759-768, 1996.