Details
| Original language | English |
|---|---|
| Article number | 166 |
| Journal | Journal of high energy physics |
| Volume | 2019 |
| Issue number | 5 |
| Early online date | 27 May 2019 |
| Publication status | Published - May 2019 |
Abstract
Calogero-Sutherland models of N identical particles on a circle are deformed away from hermiticity but retaining a PT symmetry. The interaction potential gets completely regularized, which adds to the energy spectrum an infinite tower of previously non-normalizable states. For integral values of the coupling, extra degeneracy occurs and a nonlinear conserved supersymmetry charge enlarges the ring of Liouville charges. The integrability structure is maintained. We discuss the AN −1-type models in general and work out details for the cases of A2 and G2.
Keywords
- Field Theories in Lower Dimensions, Global 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. 2019, No. 5, 166, 05.2019.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - PT deformation of Calogero-Sutherland models
AU - Correa, Francisco
AU - Lechtenfeld, Olaf
N1 - Funding information: Article funded by SCOAP3.
PY - 2019/5
Y1 - 2019/5
N2 - Calogero-Sutherland models of N identical particles on a circle are deformed away from hermiticity but retaining a PT symmetry. The interaction potential gets completely regularized, which adds to the energy spectrum an infinite tower of previously non-normalizable states. For integral values of the coupling, extra degeneracy occurs and a nonlinear conserved supersymmetry charge enlarges the ring of Liouville charges. The integrability structure is maintained. We discuss the AN −1-type models in general and work out details for the cases of A2 and G2.
AB - Calogero-Sutherland models of N identical particles on a circle are deformed away from hermiticity but retaining a PT symmetry. The interaction potential gets completely regularized, which adds to the energy spectrum an infinite tower of previously non-normalizable states. For integral values of the coupling, extra degeneracy occurs and a nonlinear conserved supersymmetry charge enlarges the ring of Liouville charges. The integrability structure is maintained. We discuss the AN −1-type models in general and work out details for the cases of A2 and G2.
KW - Field Theories in Lower Dimensions
KW - Global Symmetries
KW - Integrable Field Theories
KW - Integrable Hierarchies
UR - http://www.scopus.com/inward/record.url?scp=85066478553&partnerID=8YFLogxK
U2 - 10.48550/arXiv.1903.06481
DO - 10.48550/arXiv.1903.06481
M3 - Article
AN - SCOPUS:85066478553
VL - 2019
JO - Journal of high energy physics
JF - Journal of high energy physics
SN - 1126-6708
IS - 5
M1 - 166
ER -