Yang-Baxter R operators and parameter permutations

Details Yang-Baxter R operators and parameter permutations Yang-Baxter R operators and parameter permutations

2007-03-08

arxiv.org/abs/hep-th/0703076v3

Nucl.Phys.B785:263-285,2007

Physics

High Energy Physics

High Energy Physics - Theory

22 pages LaTex, comments added, version to be published in Nucl. Phys. B

Scientific paper

10.1016/j.nuclphysb.2007.05.022

We 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.

Affiliated with

Also associated with

No associations

Rating

Yang-Baxter R operators and parameter permutations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Yang-Baxter R operators and parameter permutations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Yang-Baxter R operators and parameter permutations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-642727