Details
| Original language | English |
|---|---|
| Article number | 191 |
| Journal | Journal of high energy physics |
| Volume | 2015 |
| Issue number | 10 |
| Publication status | Published - 1 Oct 2015 |
Abstract
Abstract: The spherical reduction of the rational Calogero model (of type An−1 and after removing the center of mass) is considered as a maximally superintegrable quantum system, which describes a particle on the (n−2)-sphere subject to a very particular potential. We present a detailed analysis of the simplest non-separable case, n=4, whose potential is singular at the edges of a spherical tetrahexahedron. A complete set of independent conserved charges and of Hamiltonian intertwiners is constructed, and their algebra is elucidated. They arise from the ring of polynomials in Dunkl-deformed angular momenta, by classifying the subspaces invariant and antiinvariant under all Weyl reflections, respectively.
Keywords
- Conformal and W Symmetry, Discrete and Finite Symmetries, Integrable Field Theories, Integrable Hierarchies
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
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In: Journal of high energy physics, Vol. 2015, No. 10, 191, 01.10.2015.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - The tetrahexahedric angular Calogero model
AU - Correa, Francisco
AU - Lechtenfeld, Olaf
N1 - Publisher Copyright: © 2015, The Author(s). Copyright: Copyright 2015 Elsevier B.V., All rights reserved.
PY - 2015/10/1
Y1 - 2015/10/1
N2 - Abstract: The spherical reduction of the rational Calogero model (of type An−1 and after removing the center of mass) is considered as a maximally superintegrable quantum system, which describes a particle on the (n−2)-sphere subject to a very particular potential. We present a detailed analysis of the simplest non-separable case, n=4, whose potential is singular at the edges of a spherical tetrahexahedron. A complete set of independent conserved charges and of Hamiltonian intertwiners is constructed, and their algebra is elucidated. They arise from the ring of polynomials in Dunkl-deformed angular momenta, by classifying the subspaces invariant and antiinvariant under all Weyl reflections, respectively.
AB - Abstract: The spherical reduction of the rational Calogero model (of type An−1 and after removing the center of mass) is considered as a maximally superintegrable quantum system, which describes a particle on the (n−2)-sphere subject to a very particular potential. We present a detailed analysis of the simplest non-separable case, n=4, whose potential is singular at the edges of a spherical tetrahexahedron. A complete set of independent conserved charges and of Hamiltonian intertwiners is constructed, and their algebra is elucidated. They arise from the ring of polynomials in Dunkl-deformed angular momenta, by classifying the subspaces invariant and antiinvariant under all Weyl reflections, respectively.
KW - Conformal and W Symmetry
KW - Discrete and Finite Symmetries
KW - Integrable Field Theories
KW - Integrable Hierarchies
UR - http://www.scopus.com/inward/record.url?scp=84945929170&partnerID=8YFLogxK
U2 - 10.1007/JHEP10(2015)191
DO - 10.1007/JHEP10(2015)191
M3 - Article
AN - SCOPUS:84945929170
VL - 2015
JO - Journal of high energy physics
JF - Journal of high energy physics
SN - 1126-6708
IS - 10
M1 - 191
ER -