Integrability, intertwiners and non-linear algebras in Calogero models

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Autoren

Externe Organisationen

  • Universidad Austral de Chile
Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Aufsatznummer163
FachzeitschriftJournal of high energy physics
Jahrgang2021
Ausgabenummer5
PublikationsstatusVeröffentlicht - 19 Mai 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.

ASJC Scopus Sachgebiete

Zitieren

Integrability, intertwiners and non-linear algebras in Calogero models. / Carrillo-Morales, Francisca; Correa, Francisco; Lechtenfeld, Olaf.
in: Journal of high energy physics, Jahrgang 2021, Nr. 5, 163, 19.05.2021.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Carrillo-Morales F, Correa F, Lechtenfeld O. Integrability, intertwiners and non-linear algebras in Calogero models. Journal of high energy physics. 2021 Mai 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 ; Jahrgang 2021, Nr. 5.
Download
@article{46af0e88b0ff469ab03b5e4d1bf218b6,
title = "Integrability, intertwiners and non-linear algebras in Calogero models",
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 {\textquoteleft}odd{\textquoteright} charges appearing for integral couplings. Formul{\ae} 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",
author = "Francisca Carrillo-Morales and Francisco Correa and Olaf Lechtenfeld",
year = "2021",
month = may,
day = "19",
doi = "10.1007/JHEP05(2021)163",
language = "English",
volume = "2021",
journal = "Journal of high energy physics",
issn = "1029-8479",
publisher = "Springer Verlag",
number = "5",

}

Download

TY - JOUR

T1 - Integrability, intertwiners and non-linear algebras in Calogero models

AU - Carrillo-Morales, Francisca

AU - Correa, Francisco

AU - Lechtenfeld, Olaf

PY - 2021/5/19

Y1 - 2021/5/19

N2 - 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.

AB - 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.

KW - Conformal and W Symmetry

KW - Discrete Symmetries

KW - Integrable Field Theories

KW - Integrable Hierarchies

UR - http://www.scopus.com/inward/record.url?scp=85106231982&partnerID=8YFLogxK

U2 - 10.1007/JHEP05(2021)163

DO - 10.1007/JHEP05(2021)163

M3 - Article

AN - SCOPUS:85106231982

VL - 2021

JO - Journal of high energy physics

JF - Journal of high energy physics

SN - 1029-8479

IS - 5

M1 - 163

ER -

Von denselben Autoren