Alexander N. Manashov, “Unitarity of the SoV Transform for <nobr>$\mathrm{SL}(2,\mathbb C)$</nobr> Spin Chains”, SIGMA, 2023, Volume 19,086, 24 pp.

This article is cited in 1 paper

Unitarity of the SoV Transform for $\mathrm{SL}(2,\mathbb C)$ Spin Chains

Alexander N. Manashov

Max-Planck-Institut für Physik, Werner-Heisenberg-Institut, 80805 München, Germany

Abstract: We prove the unitarity of the separation of variables transform for $\mathrm{SL}(2,\mathbb C)$ spin chains by a method based on the use of Gustafson integrals.

Keywords: spin chains, separation of variables, Gustafson's integrals.

MSC: 33C70, 81R12

Received: March 30, 2023; in final form October 20, 2023; Published online November 4, 2023

Language: English

DOI: 10.3842/SIGMA.2023.086