dc.identifier.uri |
http://dx.doi.org/10.15488/2621 |
|
dc.identifier.uri |
http://www.repo.uni-hannover.de/handle/123456789/2647 |
|
dc.contributor.author |
Correa, Francisco
|
|
dc.contributor.author |
Lechtenfeld, Olaf
|
|
dc.date.accessioned |
2018-01-19T10:57:49Z |
|
dc.date.available |
2018-01-19T10:57:49Z |
|
dc.date.issued |
2017 |
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dc.identifier.citation |
Correa, F.; Lechtenfeld, O.: PT deformation of angular Calogero models. In: Journal of High Energy Physics 2017 (2017), Nr. 11, 122. DOI: https://doi.org/10.1007/JHEP11(2017)122 |
|
dc.description.abstract |
The rational Calogero model based on an arbitrary rank-n Coxeter root system is spherically reduced to a superintegrable angular model of a particle moving on S n−1 subject to a very particular potential singular at the reflection hyperplanes. It is outlined how to find conserved charges and to construct intertwining operators. We deform these models in a PT-symmetric manner by judicious complex coordinate transformations, which render the potential less singular. The PT deformation does not change the energy eigenvalues but in some cases adds a previously unphysical tower of states. For integral couplings the new and old energy levels coincide, which roughly doubles the previous degeneracy and allows for a conserved nonlinear supersymmetry charge. We present the details for the generic rank-two (A 2, G 2) and all rank-three Coxeter systems (AD 3, BC 3 and H 3), including a reducible case (A 1 ⊗ 3 ). |
eng |
dc.language.iso |
eng |
|
dc.publisher |
Heidelberg : Springer Verlag |
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dc.relation.ispartofseries |
Journal of High Energy Physics 2017 (2017), Nr. 11 |
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dc.rights |
CC BY 4.0 Unported |
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dc.rights.uri |
https://creativecommons.org/licenses/by/4.0/ |
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dc.subject |
Conformal and W Symmetry |
eng |
dc.subject |
Discrete Symmetries |
eng |
dc.subject |
Field Theories in Lower Dimensions |
eng |
dc.subject |
Integrable Field Theories |
eng |
dc.subject.ddc |
530 | Physik
|
ger |
dc.title |
PT deformation of angular Calogero models |
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dc.type |
Article |
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dc.type |
Text |
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dc.relation.issn |
11266708 |
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dc.relation.doi |
https://doi.org/10.1007/JHEP11(2017)122 |
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dc.bibliographicCitation.issue |
11 |
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dc.bibliographicCitation.volume |
2017 |
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dc.bibliographicCitation.firstPage |
122 |
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dc.description.version |
publishedVersion |
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tib.accessRights |
frei zug�nglich |
|