Qoperators in the sixvertex model
Abstract
In this paper we continue the study of Qoperators in the sixvertex model and its higher spin generalizations. In [1] we derived a new expression for the higher spin Rmatrix associated with the affine quantum algebra U_{q}(sl(2)ˆ). Taking a special limit in this Rmatrix we obtained new formulas for the Qoperators acting in the tensor product of representation spaces with arbitrary complex spin.
Here we use a different strategy and construct Qoperators as integral operators with factorized kernels based on the original Baxter's method used in the solution of the eightvertex model. We compare this approach with the method developed in [1] and find the explicit connection between two constructions. We also discuss a reduction to the case of finitedimensional representations with (half)integer spins.
 Publication:

Nuclear Physics B
 Pub Date:
 September 2014
 DOI:
 10.1016/j.nuclphysb.2014.06.024
 arXiv:
 arXiv:1406.0662
 Bibcode:
 2014NuPhB.886..166M
 Keywords:

 Mathematical Physics;
 High Energy Physics  Theory;
 Mathematics  Quantum Algebra
 EPrint:
 18 pages, no figures