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Baxter q-operators and representations of yangians

Bazhanov, Vladimir; Frassek, Rouven; Lukowski, Tomasz; Meneghelli, Carlo; Staudacher, Matthias


We develop a new approach to Baxter Q-operators by relating them to the theory of Yangians, which are the simplest examples for quantum groups. Here we open up a new chapter in this theory and study certain degenerate solutions of the Yang-Baxter equation connected with harmonic oscillator algebras. These infinite-state solutions of the Yang-Baxter equation serve as elementary, "partonic" building blocks for other solutions via the standard fusion procedure. As a first example of the method we...[Show more]

CollectionsANU Research Publications
Date published: 2011
Type: Journal article
Source: Nuclear Physics B
DOI: 10.1016/j.nuclphysb.2011.04.006
Access Rights: Open Access


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