Abstract
Calogero-Sutherland models of N identical particles on a circle are deformed away from hermiticity but retaining a \( \mathcal{P}\mathcal{T} \) 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.
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ArXiv ePrint: 1903.06481
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Correa, F., Lechtenfeld, O. \( \mathcal{P}\mathcal{T} \) deformation of Calogero-Sutherland models. J. High Energ. Phys. 2019, 166 (2019). https://doi.org/10.1007/JHEP05(2019)166
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DOI: https://doi.org/10.1007/JHEP05(2019)166