A braided Yang-Baxter algebra in a theory of two coupled lattice quantum KdV: Algebraic properties and ABA representations

D. Fioravanti, M. Rossi

Research output: Contribution to journalArticle

25 Citations (Scopus)

Abstract

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, in the cylinder continuum limit, to a perturbed minimal conformal field theory description is analysed and supported.

Original languageEnglish
Pages (from-to)3647-3681
Number of pages35
JournalJournal of Physics A: Mathematical and General
Volume35
Issue number16
DOIs
Publication statusPublished - 26 Apr 2002

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