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Lattice Models and N = 2 Supersymmetry

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Book cover Quantum Field Theory and String Theory

Part of the book series: NATO ASI Series ((NSSB,volume 328))

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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.

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Authors and Affiliations

  1. Physics Department, University of Southern California, University Park, Los Angeles, CA, 90089-0484, USA

    Hubert Saleur & Nicholas P. Warner

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  1. Hubert Saleur
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Editors and Affiliations

  1. Université Pierre et Marie Curie (Paris VI), Paris, France

    Laurent Baulieu , Vladimir Dotsenko  & Paul Windey ,  & 

  2. Université Pierre et Marie Curie (Paris VI) and École Normale Supérieure, Paris, France

    Vladimir Kazakov

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Saleur, H., Warner, N.P. (1995). Lattice Models and N = 2 Supersymmetry. In: Baulieu, L., Dotsenko, V., Kazakov, V., Windey, P. (eds) Quantum Field Theory and String Theory. NATO ASI Series, vol 328. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-1819-8_22

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  • DOI: https://doi.org/10.1007/978-1-4615-1819-8_22

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