A generalized Q-operator for Uq(S-frakturl2) vertex models

Marco Rossi, Robert Weston

Research output: Contribution to journalArticlepeer-review

37 Citations (Scopus)


In this paper, we construct a Q-operator as a trace of a representation of the universal A-matrix of Uq(S-frakturl2) over an infinite-dimensional auxiliary space. This auxiliary space is a four-parameter generalization of the q-oscillator representations used previously. We derive generalized T-Q relations in which three of these parameters shift. After a suitable restriction of parameters, we give an explicit expression for the Q-operator of the 6-vertex model and show the connection with Baxter's expression for the central block of his corresponding operator.

Original languageEnglish
Pages (from-to)10015-10032
Number of pages18
JournalJournal of Physics A: Mathematical and General
Issue number47
Publication statusPublished - 12 Nov 2002


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