Exact spectrum and partition function of SU(m|n) supersymmetric Polychronakos model

Details Exact spectrum and partition function of SU(m|n) supersymmetric Polychronakos model Exact spectrum and partition function of SU(m|n) supersymmetric Polychronakos model

1999-04-25

arxiv.org/abs/hep-th/9904167v2

J.Phys.Soc.Jap. 68 (1999) 3219-3226

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 20 pages, no figures, minor typos corrected

Scientific paper

10.1143/JPSJ.68.3219

By using the fact that Polychronakos-like models can be obtained through the `freezing limit' of related spin Calogero models, we calculate the exact spectrum as well as partition function of SU(m|n) supersymmetric Polychronakos (SP) model. It turns out that, similar to the non-supersymmetric case, the spectrum of SU(m|n) SP model is also equally spaced. However, the degeneracy factors of corresponding energy levels crucially depend on the values of bosonic degrees of freedom (m) and fermionic degrees of freedom (n). As a result, the partition functions of SP models are expressed through some novel q-polynomials. Finally, by interchanging the bosonic and fermionic degrees of freedom, we obtain a duality relation among the partition functions of SP models.

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