Dynamic Lattice Supersymmetry in SI (n\m) Spin Chains

作者:Meidinger David; Mitev Vladimir*
来源:Journal of Statistical Physics, 2014, 156(6): 1199-1220.
DOI:10.1007/s10955-014-1049-0

摘要

Supersymmetry operators that change a spin chain's length have appeared in numerous contexts, ranging from the AdS/CFT correspondence to statistical mechanics models. In this article, we present, via an analysis of the Bethe equations, all homogeneous, rational and trigonometric, integrable spin chains for which length-changing supersymmetry can be present. Furthermore, we write down the supercharges explicitly for the simplest new models, namely the spin chains with the -fold antisymmetric tensor product of the fundamental representation at each site and check their compatibility with integrability.

  • 出版日期2014-9