Basu-Mallick, B. ; Bondyopadhaya, Nilanjan ; Sen, Diptiman (2008) Low energy properties of the SU(m|n) supersymmetric Haldane-Shastry spin chain Nuclear Physics B, 795 (3). pp. 596-622. ISSN 0550-3213
Full text not available from this repository.
Official URL: http://www.sciencedirect.com/science/article/pii/S...
Related URL: http://dx.doi.org/10.1016/j.nuclphysb.2007.11.021
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.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| Keywords: | Haldane-shastry Spin Chain; Partition Function; Low Energy Excitations; Conformal Field Theory |
| ID Code: | 45592 |
| Deposited On: | 28 Jun 2011 05:46 |
| Last Modified: | 28 Jun 2011 05:46 |
Repository Staff Only: item control page
