Integrability, intertwiners and non-linear algebras in Calogero models

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  • Universidad Austral de Chile
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Original languageEnglish
Article number163
JournalJournal of high energy physics
Volume2021
Issue number5
Publication statusPublished - 19 May 2021

Abstract

For the rational quantum Calogero systems of type A1⊕A2, AD3 and BC3, we explicitly present complete sets of independent conserved charges and their nonlinear algebras. Using intertwining (or shift) operators, we include the extra ‘odd’ charges appearing for integral couplings. Formulæ for the energy eigenstates are used to tabulate the low-level wave functions.

Keywords

    Conformal and W Symmetry, Discrete Symmetries, Integrable Field Theories, Integrable Hierarchies

ASJC Scopus subject areas

Cite this

Integrability, intertwiners and non-linear algebras in Calogero models. / Carrillo-Morales, Francisca; Correa, Francisco; Lechtenfeld, Olaf.
In: Journal of high energy physics, Vol. 2021, No. 5, 163, 19.05.2021.

Research output: Contribution to journalArticleResearchpeer review

Carrillo-Morales F, Correa F, Lechtenfeld O. Integrability, intertwiners and non-linear algebras in Calogero models. Journal of high energy physics. 2021 May 19;2021(5):163. doi: 10.1007/JHEP05(2021)163
Carrillo-Morales, Francisca ; Correa, Francisco ; Lechtenfeld, Olaf. / Integrability, intertwiners and non-linear algebras in Calogero models. In: Journal of high energy physics. 2021 ; Vol. 2021, No. 5.
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