Yang-Baxter R operators and parameter permutations

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dc.creatorDerkachov, S.
dc.creatorKarakhanyan, D.
dc.creatorKirschner, R.
dc.date2007-03-08
dc.date2007-06-01
dc.date.accessioned2026-07-07T11:44:04Z
dc.date.available2026-07-07T11:44:04Z
dc.descriptionWe present an uniform construction of the solution to the Yang- Baxter equation with the symmetry algebra $s\ell(2)$ and its deformations: the q-deformation and the elliptic deformation or Sklyanin algebra. The R-operator acting in the tensor product of two representations of the symmetry algebra with arbitrary spins $\ell_1$ and $\ell_2$ is built in terms of products of three basic operators $\mathcal{S}_1, \mathcal{S}_2,\mathcal{S}_3$ which are constructed explicitly. They have the simple meaning of representing elementary permutations of the symmetric group $\mathfrak{S}_4$, the permutation group of the four parameters entering the RLL-relation.
dc.description22 pages LaTex, comments added, version to be published in Nucl. Phys. B
dc.identifierhttps://arxiv.org/abs/hep-th/0703076
dc.identifierhttp://arxiv.org/abs/hep-th/0703076
dc.identifierNucl.Phys.B785:263-285,2007
dc.identifierdoi:10.1016/j.nuclphysb.2007.05.022
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/201470
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Algebra
dc.titleYang-Baxter R operators and parameter permutations
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