Low energy properties of the SU(m|n) supersymmetric Haldane-Shastry spin chain

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dc.creatorBasu-Mallick, B.
dc.creatorBondyopadhaya, Nilanjan
dc.creatorSen, Diptiman
dc.date2007-10-02
dc.date2007-11-24
dc.date.accessioned2026-07-07T11:19:42Z
dc.date.available2026-07-07T11:19:42Z
dc.descriptionThe ground state and low energy excitations of the SU(m|n) supersymmetric Haldane-Shastry spin chain are analyzed. In the thermodynamic limit, it is found that the ground state degeneracy is finite only for the SU(m|0) and SU(m|1) spin chains, while the dispersion relation for the low energy and low momentum excitations is linear for all values of m and n. We show that the low energy excitations of the SU(m|1) spin chain are described by a conformal field theory of m non-interacting Dirac fermions which have only positive energies; the central charge of this theory is m/2. Finally, for n \ge 1, the partition functions of the SU(m|n) Haldane-Shastry spin chain and the SU(m|n) Polychronakos spin chain are shown to be related in a simple way in the thermodynamic limit at low temperatures.
dc.description40 pages including 2 figures; added some references; this version will appear in Nuclear Physics B
dc.identifierhttps://arxiv.org/abs/0710.0452
dc.identifierhttp://arxiv.org/abs/0710.0452
dc.identifierNucl.Phys.B795:596-622,2008
dc.identifierdoi:10.1016/j.nuclphysb.2007.11.021
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/193776
dc.subjectHigh Energy Physics - Theory
dc.subjectStatistical Mechanics
dc.subjectExactly Solvable and Integrable Systems
dc.titleLow energy properties of the SU(m|n) supersymmetric Haldane-Shastry spin chain
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