Lattice fermion models with supersymmetry
Jul, 2003Citations per year
Abstract: (arXiv)
We investigate a family of lattice models with manifest N=2 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-1/2 antiferromagnetic XXZ chain at \Delta=-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 \Delta=-1/\sqrt{2}. We argue that these models include critical points described by the superconformal minimal models.Note:
- 28 pages. v2: added new result on mapping to XXZ chain Subj-class: Strongly Correlated Electrons: Statistical Mechanics
- fermion: lattice field theory
- supersymmetry
- Bethe ansatz
- dimension: 1
- Witten index
- excited state
- charge: fractional
- field theory: conformal
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