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arXiv · hep-th/9910033

Calogero-Moser Models V: Supersymmetry and Quantum Lax Pair

A. J. Bordner·N. S. Manton·R. Sasaki
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Abstract

It is shown that the Calogero-Moser models based on all root systems of the finite reflection groups (both the crystallographic and non-crystallographic cases) with the rational (with/without a harmonic confining potential), trigonometric and hyperbolic potentials can be simply supersymmetrised in terms of superpotentials. There is a universal formula for the supersymmetric ground state wavefunction. Since the bosonic part of each supersymmetric model is the usual quantum Calogero-Moser model, this gives a universal formula for its ground state wavefunction and energy, which is determined purely algebraically. Quantum Lax pair operators and conserved quantities for all the above Calogero-Moser models are established.

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A. J. Bordner, N. S. Manton, R. Sasaki. 1999-10-05. Calogero-Moser Models V: Supersymmetry and Quantum Lax Pair. https://doi.org/10.1143/ptp.103.463

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