Higher order Hamiltonians for the trigonometric Gaudin model

Authors :: Alexander Molev
Eric Ragoucy
Laboratoire d'Annecy-le-Vieux de Physique Théorique (LAPTH)
Université Savoie Mont Blanc (USMB [Université de Savoie] [Université de Chambéry])-Centre National de la Recherche Scientifique (CNRS)
Malaval, Virginie
Source :: Letters in Mathematical Physics, Letters in Mathematical Physics, Springer Verlag, 2019, 109 (9), pp.2035-2048. ⟨10.1007/s11005-019-01170-2⟩
Publication Year :: 2019
Publisher :: HAL CCSD, 2019.
Abstract: We consider the trigonometric classical $r$-matrix for $\mathfrak{gl}_N$ and the associated quantum Gaudin model. We produce higher Hamiltonians in an explicit form by applying the limit $q\to 1$ to elements of the Bethe subalgebra for the $XXZ$ model.<br />14 pages

Language :: English
ISSN :: 03779017 and 15730530
Database :: OpenAIRE
Journal :: Letters in Mathematical Physics, Letters in Mathematical Physics, Springer Verlag, 2019, 109 (9), pp.2035-2048. ⟨10.1007/s11005-019-01170-2⟩
Accession number :: edsair.doi.dedup.....9396feebb55a9918fccb9dbf90d8cb19

Tools