Nonlinear supersymmetry in the quantum Calogero model

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dc.identifier.uri Correa, Francisco Lechtenfeld, Olaf Plyushchay, Mikhail 2016-12-22T07:22:08Z 2016-12-22T07:22:08Z 2014
dc.identifier.citation Correa, F.; Lechtenfeld, O.; Plyushchay, M.: Nonlinear supersymmetry in the quantum Calogero model. In: Journal of High Energy Physics 2014 (2014), Nr. 4, 151. DOI:
dc.description.abstract It is long known that the rational Calogero model describing n identical particles on a line with inverse-square mutual interaction potential is quantum superintegrable. We review the (nonlinear) algebra of the conserved quantum charges and the intertwiners which relate the Liouville charges at couplings g and g1. For integer values of g, these intertwiners give rise to additional conserved charges commuting with all Liouville charges and known since the 1990s. We give a direct construction of such a charge, the unique one being totally antisymmetric under particle permutations. It is of order 1 2n(n1)(2g1) in the momenta and squares to a polynomial in the Liouville charges. With a natural Z2 grading, this charge extends the algebra of conserved charges to a nonlinear supersymmetric one. We provide explicit expressions for intertwiners, charges and their algebra in the cases of two, three and four particles. eng
dc.language.iso eng
dc.publisher Heidelberg : Springer
dc.relation.ispartofseries Journal of High Energy Physics 2014 (2014)
dc.rights CC BY 4.0 Unported
dc.subject Conformal and W symmetry eng
dc.subject Extended supersymmetry eng
dc.subject Integrable equations in physics eng
dc.subject.ddc 510 | Mathematik ger
dc.subject.ddc 530 | Physik ger
dc.title Nonlinear supersymmetry in the quantum Calogero model
dc.type article
dc.type Text
dc.relation.issn 11266708
dc.bibliographicCitation.issue 4
dc.bibliographicCitation.volume 2014
dc.bibliographicCitation.lastPage 151
dc.description.version publishedVersion
tib.accessRights frei zug�nglich

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