dc.identifier.uri |
http://dx.doi.org/10.15488/91 |
|
dc.identifier.uri |
http://www.repo.uni-hannover.de/handle/123456789/109 |
|
dc.contributor.author |
Correa, Francisco
|
|
dc.contributor.author |
Lechtenfeld, Olaf
|
|
dc.contributor.author |
Plyushchay, Mikhail
|
|
dc.date.accessioned |
2015-10-30T13:52:00Z |
|
dc.date.available |
2015-10-30T13:52:00Z |
|
dc.date.issued |
2014 |
|
dc.identifier.citation |
Correa, Francisco; Lechtenfeld, Olaf; Plyushchay, Mikhail: Nonlinear supersymmetry in the quantum Calogero model. In: J. High Energ. Phys. 2014 (2014), Nr. 4. DOI: http://dx.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 g±1. 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 12 n(n−1)(2g−1) in the momenta and squares to a polynomial in the Liouville charges. With a natural Z 2 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.description.sponsorship |
SCOAP3 |
|
dc.language.iso |
eng |
eng |
dc.publisher |
New York : Springer |
|
dc.relation.ispartofseries |
Journal of High Energy Physics 2014 (2014), Nr. 4 |
|
dc.relation.isversionof |
http://arxiv.org/abs/1312.5749 |
|
dc.relation.isversionof |
http://arxiv.org/abs/1312.5749v2 |
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dc.rights |
CC BY 4.0 Unported |
|
dc.rights.uri |
http://creativecommons.org/licenses/by/4.0/ |
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dc.subject |
Integrable Equations |
eng |
dc.subject |
Conformal Symmetry |
eng |
dc.subject |
W Symmetry |
eng |
dc.subject |
Extended Supersymmetry |
eng |
dc.subject.ddc |
530 | Physik
|
ger |
dc.title |
Nonlinear supersymmetry in the quantum Calogero model |
eng |
dc.type |
Article |
|
dc.type |
Text |
|
dc.relation.issn |
1029-8479 |
|
dc.relation.doi |
http://dx.doi.org/10.1007/JHEP04(2014)151 |
|
dc.bibliographicCitation.issue |
4 |
|
dc.bibliographicCitation.volume |
2014 |
|
dc.description.version |
publishedVersion |
|
tib.accessRights |
frei zug�nglich |
|