Completeness of SoV Representation for SL(2, ℝ) Spin Chains

dc.contributor.author	Derkachov, Sergey É.
dc.contributor.author	Kozlowski, Karol K.
dc.contributor.author	Manashov, Alexander N.
dc.date.accessioned	2025-12-30T15:55:51Z
dc.date.issued	2021
dc.description.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 SL(2, ℝ) spin chains.
dc.description.sponsorship	This work was supported by the Russian Science Foundation project No 19-11-00131and by the DFG grants MO 1801/4-1, KN 365/13-1 (A.M.). The work of K.K.K. is supported by CNRS.
dc.identifier.citation	Completeness of SoV Representation for SL(2, ℝ) Spin Chains. Sergey É. Derkachov, Karol K. Kozlowski and Alexander N. Manashov. SIGMA 17 (2021), 063, 26 pages
dc.identifier.doi	https://doi.org/10.3842/SIGMA.2021.063
dc.identifier.issn	1815-0659
dc.identifier.other	2020 Mathematics Subject Classification: 33C70; 81R12
dc.identifier.other	arXiv:2102.13570
dc.identifier.uri	https://nasplib.isofts.kiev.ua/handle/123456789/211360
dc.language.iso	en
dc.publisher	Інститут математики НАН України
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.status	published earlier
dc.title	Completeness of SoV Representation for SL(2, ℝ) Spin Chains
dc.type	Article

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