Exact partition function of SU(m|n) supersymmetric Haldane-Shastry spin chain

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dc.creatorBasu-Mallick, B.
dc.creatorBondyopadhaya, Nilanjan
dc.date2006-07-25
dc.date2006-10-10
dc.date.accessioned2026-07-07T11:06:55Z
dc.date.available2026-07-07T11:06:55Z
dc.descriptionBy taking the freezing limit of a spin Calogero-Sutherland model containing `anyon like' representation of the permutation algebra, we derive the exact partition function of SU(m|n) supersymmetric Haldane-Shastry (HS) spin chain. This partition function allows us to study global properties of the spectrum like level density distribution and nearest neighbour spacing distribution. It is found that, for supersymmetric HS spin chains with large number of lattice sites, continuous part of the energy level density obeys Gaussian distribution with a high degree of accuracy. The mean value and standard deviation of such Gaussian distribution can be calculated exactly. We also conjecture that the partition function of supersymmetric HS spin chain satisfies a duality relation under the exchange of bosonic and fermionic spin degrees of freedom.
dc.descriptionLatex, 32 pages, 4 figures, minor typos corrected, to be published in Nucl. Phys. B
dc.identifierhttps://arxiv.org/abs/hep-th/0607191
dc.identifierhttp://arxiv.org/abs/hep-th/0607191
dc.identifierNucl.Phys.B757:280-302,2006
dc.identifierdoi:10.1016/j.nuclphysb.2006.09.009
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/189678
dc.subjectHigh Energy Physics - Theory
dc.subjectStatistical Mechanics
dc.subjectExactly Solvable and Integrable Systems
dc.titleExact partition function of SU(m|n) supersymmetric Haldane-Shastry spin chain
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