Completeness of SoV Representation for $\mathrm{SL}(2,\mathbb R)$ Spin Chains
Mathematical Physics
2021-06-28 v2 High Energy Physics - Theory
math.MP
Exactly Solvable and Integrable Systems
Abstract
This work develops a new method, based on the use of Gustafson's integrals and on the evaluation of singular integrals, allowing one to establish the unitarity of the separation of variables transform for infinite-dimensional representations of rank one quantum integrable models. We examine in detail the case of the spin chains.
Keywords
Cite
@article{arxiv.2102.13570,
title = {Completeness of SoV Representation for $\mathrm{SL}(2,\mathbb R)$ Spin Chains},
author = {Sergey É. Derkachov and Karol K. Kozlowski and Alexander N. Manashov},
journal= {arXiv preprint arXiv:2102.13570},
year = {2021}
}