Calogero-Moser models. 5. Supersymmetry and quantum lax pair

Bordner, A.J.; Manton, N.S.; Sasaki, R.

doi:10.1143/PTP.103.463

Calogero-Moser models. 5. Supersymmetry and quantum lax pair

Oct, 1999

30 pages

Published in:

Prog.Theor.Phys. 103 (2000) 463-487

e-Print:

hep-th/9910033 [hep-th]

DOI:

10.1143/PTP.103.463

Report number:

YITP-99-47A,
DAMTP-1999-135

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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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Figures(0)

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