Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1844255 | Nuclear Physics B | 2008 | 27 Pages |
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 n⩾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.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
B. Basu-Mallick, Nilanjan Bondyopadhaya, Diptiman Sen,