Speaker: Anton Sutulin (BLTP, JINR, Dubna)

Title:  Integrability of supersymmetric Calogero Moser models (Continuation)

Date and time:  15.04.2026, 17:00 (GMT +03:00)

Abstract: We analyze the integrability of the N-extended supersymmetric Calogero{Moser model. We explicitly construct the Lax pair fL;Ag for this system, which properly reproduces all equations of motion. After adding a supersymmetric oscillator potential we reduce the latter to solving dU/dt = AU for the time evolution operator U(t). The bosonic variables, however, evolve independently of U on closed trajectories, as is required for superintegrability. To visualize the structure of the conserved currents we derive the complete set of Liouville charges up to the 5-th power in the momenta, for the N=2 supersymmetric model. The additional, non-involutive, conserved charges needed for a maximal superintegrability of this model are also found.

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