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

Basu-Mallick, B and Bondyopadhaya, Nilanjan and Sen, Diptiman (2008) Low energy properties of the SU(m|n) supersymmetric Haldane–Shastry spin chain. In: Nuclear Physics B, 795 (3). pp. 596-622.

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Abstract

The 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 ngreater-or-equal, slanted1, 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.

Item Type: Journal Article
Additional Information: Copyright of this article belongs to Elsevier Science.
Keywords: Haldane–Shastry spin chain;Partition function;Low energy excitations;Conformal field theory.
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Date Deposited: 24 Mar 2010 10:16
Last Modified: 19 Sep 2010 05:58
URI: http://eprints.iisc.ernet.in/id/eprint/26499

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