Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-03-31
J.Phys.A35:3647-3682,2002
Physics
High Energy Physics
High Energy Physics - Theory
Latex file, 46 pages
Scientific paper
10.1088/0305-4470/35/16/306
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.
Fioravanti Davide
Rossi Marco
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