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Lie group exponents andSU(2) current algebras

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Abstract

Due to the Cappelli-Itzykson-Zuber classification, the minimal conformally invariant quantum field theories withSU(2) currents are classified by the ADE Lie algebras. Here I give a conceptual proof of the empirically valid relation between their partition functions and the Lie algebra exponents.

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References

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Authors and Affiliations

  1. Department of Physics, University of California, 95616, Davis, CA, USA

    Werner Nahm

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  1. Werner Nahm
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Communicated by L. Alvarez-Gaumé

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Nahm, W. Lie group exponents andSU(2) current algebras. Commun.Math. Phys. 118, 171–176 (1988). https://doi.org/10.1007/BF01218482

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  • DOI: https://doi.org/10.1007/BF01218482

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