A braided Yang-Baxter Algebra in a Theory of two coupled Lattice Quantum KdV: algebraic properties and ABA representations

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A generalization of the Yang-Baxter algebra is found in quantizing the monodromy matrix of two (m)KdV equations discretized on a space lattice. This braided Yang-Baxter equation still ensures that the transfer matrix generates operators in involution which form the Cartan sub-algebra of the braided quantum group. Representations diagonalizing these operators are described through relying on an easy generalization of Algebraic Bethe Ansatz techniques. The conjecture that this monodromy matrix algebra leads, {\it in the cylinder continuum limit}, to a Perturbed Minimal Conformal Field Theory description is analysed and supported.
Latex file, 46 pages

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High Energy Physics - Theory, Quantum Algebra, Exactly Solvable and Integrable Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/185520

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/hep-th/0104002
 http://arxiv.org/abs/hep-th/0104002
 J.Phys.A35:3647-3682,2002
 doi:10.1088/0305-4470/35/16/306

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arXiv