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Klein factors and Fermi-Bose equivalence

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Abstract

Generalizing the kink operator of the Heisenberg spin 1/2 model, we construct a set of Klein factors explicitly such that (1+1)-dimensional fermion theories with an arbitrary number of species are mapped onto the corresponding boson theories with the same number of species and vice versa. The actions for the resultant theories do not possess a nontrivial Klein factor. With this set of Klein factors, we are also able to map the simple boundary states, such as the Neumann and the Dirichlet boundary states, of the fermion (boson) theory onto those of the boson (fermion) theory. Applications of the Fermi-Bose equivalence with the constructed Klein factors to well-known (1+1)-dimensional theories have been discussed.

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Authors and Affiliations

  1. Department of Physics, Kangwon National University, Chuncheon, 24341, Korea

    Taejin Lee

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  1. Taejin Lee
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Correspondence to Taejin Lee.

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Lee, T. Klein factors and Fermi-Bose equivalence. Journal of the Korean Physical Society 68, 1272–1286 (2016). https://doi.org/10.3938/jkps.68.1272

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  • DOI: https://doi.org/10.3938/jkps.68.1272

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