期刊
JOURNAL OF STATISTICAL PHYSICS
卷 150, 期 4, 页码 609-657出版社
SPRINGER
DOI: 10.1007/s10955-013-0709-9
关键词
Supersymmetry; Lattice models
资金
- ERC AG CONFRA
- Swiss NSF
Spin chains with exact supersymmetry on finite one-dimensional lattices are considered. The supercharges are nilpotent operators on the lattice of dynamical nature: they change the number of sites. A local criterion for the nilpotency on periodic lattices is formulated. Any of its solutions leads to a supersymmetric spin chain. It is shown that a class of special solutions at arbitrary spin gives the lattice equivalents of the superconformal minimal models. The case of spin one is investigated in detail: in particular, it is shown that the Fateev-Zamolodchikov chain and its off-critical extension possess a lattice supersymmetry for all its coupling constants. Its supersymmetry singlets are thoroughly analysed, and a relation between their components and the weighted enumeration of alternating sign matrices is conjectured.
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