Yang-Baxter sigma models and Lax pairs arising from κ-Poincaré r-matrices
نویسندگان
چکیده
منابع مشابه
Lax Matrices for Yang-Baxter Maps
It is shown that for a certain class of Yang-Baxter maps (or set-theoretical solutions to the quantum Yang-Baxter equation) the Lax representation can be derived straight from the map itself. A similar phenomenon for 3D consistent equations on quadgraphs has been recently discovered by A. Bobenko and one of the authors, and by F. Nijhoff.
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In the first part we recall two famous sources of solutions to the Yang-Baxter equation—R-matrices and Yetter-Drinfel′d (=YD) modules—and an interpretation of the former as a particular case of the latter. We show that this result holds true in the more general case of weak R-matrices, introduced here. In the second part we continue exploring the “braided” aspects of YD module structure, exhibi...
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ژورنال
عنوان ژورنال: Journal of High Energy Physics
سال: 2016
ISSN: 1029-8479
DOI: 10.1007/jhep04(2016)079