The twisted XXZ chain at roots of unity revisited

Details The twisted XXZ chain at roots of unity revisited The twisted XXZ chain at roots of unity revisited

2003-08-14

arxiv.org/abs/cond-mat/0308267v2

J. Phys. A: Math. Gen. 37 (2004) 1681-1689

Physics

Condensed Matter

Statistical Mechanics

10 pages, 2 figures. One footnote and some comments in the conclusions added

Scientific paper

10.1088/0305-4470/37/5/014

The symmetries of the twisted XXZ spin-chain (alias the twisted six-vertex model) at roots of unity are investigated. It is shown that when the twist parameter is chosen to depend on the total spin an infinite-dimensional non-abelian symmetry algebra can be explicitly constructed for all spin sectors. This symmetry algebra is identified to be the upper or lower Borel subalgebra of the sl_2 loop algebra. The proof uses only the intertwining property of the six-vertex monodromy matrix and the familiar relations of the six-vertex Yang-Baxter algebra.

Affiliated with

Also associated with

No associations

Rating

The twisted XXZ chain at roots of unity revisited 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 The twisted XXZ chain at roots of unity revisited, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The twisted XXZ chain at roots of unity revisited will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-82162