Baxter operators for arbitrary spin II

Details Baxter operators for arbitrary spin II Baxter operators for arbitrary spin II

2011-07-04

arxiv.org/abs/1107.0643v2

Physics

High Energy Physics

High Energy Physics - Theory

33 pages LaTex, version for publication

Scientific paper

This paper presents the second part of our study devoted to the construction of Baxter operators for the homogeneous closed XXX spin chain with the quantum space carrying infinite or finite-dimensional $s\ell_2$ representations. We consider the Baxter operators used in \cite{BLZ,Shortcut}, formulate their construction uniformly with the construction of our previous paper. The building blocks of all global chain operators are derived from the general Yang-Baxter operators and all operator relations are derived from general Yang-Baxter relations. This leads naturally to the comparison of both constructions and allows to connect closely the treatment of the cases of infinite-dimensional representation of generic spin and finite-dimensional representations of integer or half-integer spin. We proof not only the relations between the operators but present also their explicit forms and expressions for their action on polynomials representing the quantum states.

Affiliated with

Also associated with

No associations

Rating

Baxter operators for arbitrary spin II 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 Baxter operators for arbitrary spin II, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Baxter operators for arbitrary spin II will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-4332