Paul Fendley et al 2003 J. Phys. A: Math. Gen. 36 12399 doi:10.1088/0305-4470/36/50/004
Lattice fermion models with supersymmetry
Paul Fendley1, Bernard Nienhuis2 and Kareljan Schoutens2
Show affiliationsWe investigate a family of lattice models with manifest 
supersymmetry. The models describe fermions on a 1D lattice, subject to the constraint that no more than k consecutive lattice sites may be occupied. We discuss the special properties arising from the supersymmetry, and present Bethe ansatz solutions of the simplest models. We display the connections of the k = 1 model with the spin-
antiferromagnetic XXZ chain at Δ = −1/2, and the k = 2 model with both the su(2|1)-symmetric tJ model in the ferromagnetic regime and the integrable spin-1 XXZ chain at 
. We argue that these models include critical points described by the superconformal minimal models.
- PACS
-
05.50.+q Lattice theory and statistics (Ising, Potts, etc.)
- MSC
-
81T60 Supersymmetric field theories
81Q60 Supersymmetric quantum mechanics
81T40 Two-dimensional field theories, conformal field theories, etc.
- Subjects
- Dates
-
Issue 50 (19 December 2003)
Received 12 August 2003
Published 2 December 2003
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Lattice fermion models with supersymmetry
Paul Fendley et al 2003 J. Phys. A: Math. Gen. 36 12399
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