Qoperators for the open Heisenberg spin chain
Abstract
We construct Qoperators for the open spin1/2 XXX Heisenberg spin chain with diagonal boundary matrices. The Qoperators are defined as traces over an infinitedimensional auxiliary space involving novel types of reflection operators derived from the boundary YangBaxter equation. We argue that the Qoperators defined in this way are polynomials in the spectral parameter and show that they commute with transfer matrix. Finally, we prove that the Qoperators satisfy Baxter's TQequation and derive the explicit form of their eigenvalues in terms of the Bethe roots.
 Publication:

Nuclear Physics B
 Pub Date:
 December 2015
 DOI:
 10.1016/j.nuclphysb.2015.10.010
 arXiv:
 arXiv:1509.04867
 Bibcode:
 2015NuPhB.901..229F
 Keywords:

 Mathematical Physics;
 Condensed Matter  Statistical Mechanics;
 High Energy Physics  Theory;
 Nonlinear Sciences  Exactly Solvable and Integrable Systems
 EPrint:
 23 pages, 1 figure