Lattice models and $N=2$ supersymmetry

H. Saleur; N. P. Warner

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arXiv · hep-th/9311138

Lattice models and $N=2$ supersymmetry

H. Saleur·N. P. Warner

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Abstract

We review the construction of exactly solvable lattice models whose continuum limits are $N=2$ supersymmetric models. Both critical and off-critical models are discussed. The approach we take is to first find lattice models with natural topological sectors, and then identify the continuum limits of these sectors with topologically twisted $N=2$ supersymmetric field theories. From this, we then describe how to recover the complete lattice versions of the $N=2$ supersymmetric field theories. We discuss a number of simple physical examples and we describe how to construct a broad class of models. We also give a brief review of the scattering matrices for the excitations of these models. (Contribution to the procedings of the Cargese meeting on ``String Theory, Conformal Models and Topological Field Theories'', May 12-21, 1993.)

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H. Saleur, N. P. Warner. 1993-11-23. Lattice models and $N=2$ supersymmetry. https://arxiv.org/abs/hep-th/9311138

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