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Lattice models and N=2 supersymmetry

1993/11/23 by H. Saleur, Saleur, H., N. P. Warner +1
Physics and Astronomy · #Condensed Matter (cond-mat) #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #cond-mat #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9311138

49 pages, 12 figures, Latex, USC preprint 93/026

arxiv created 1993/11/23 · arxiv updated 2009/11/30

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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