dc.identifier.uri |
http://dx.doi.org/10.15488/940 |
|
dc.identifier.uri |
http://www.repo.uni-hannover.de/handle/123456789/964 |
|
dc.contributor.author |
Correa, Francisco
|
|
dc.contributor.author |
Lechtenfeld, Olaf
|
|
dc.contributor.author |
Plyushchay, Mikhail
|
|
dc.date.accessioned |
2016-12-22T07:22:08Z |
|
dc.date.available |
2016-12-22T07:22:08Z |
|
dc.date.issued |
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: https://doi.org/10.1007/JHEP04(2014)151 |
|
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 |
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dc.publisher |
Heidelberg : Springer |
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dc.relation.ispartofseries |
Journal of High Energy Physics 2014 (2014) |
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dc.rights |
CC BY 4.0 Unported |
|
dc.rights.uri |
https://creativecommons.org/licenses/by/4.0/ |
|
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 |
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dc.type |
Text |
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dc.relation.issn |
11266708 |
|
dc.relation.doi |
https://doi.org/10.1007/JHEP04(2014)151 |
|
dc.bibliographicCitation.issue |
4 |
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dc.bibliographicCitation.volume |
2014 |
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dc.bibliographicCitation.lastPage |
151 |
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dc.description.version |
publishedVersion |
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tib.accessRights |
frei zug�nglich |
|