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Eigensystem and full character formula of theW 1+∞ algebra withc = 1

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Abstract

By using the free field realizations, we analyze the representation theory of theW 1+∞ algebra withc = 1. The eigenvectors for the Cartan subalgebra ofW 1+∞ are parametrized by Young diagrams, and explicitly written down byW 1+∞ generators. Moreover, their eigenvalues and full character formula are also obtained.

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Authors and Affiliations

  1. Yukawa Institute for Theoretical Physics, Kyoto University, 606, Kyoto, Japan

    Hidetoshi Awata & Masafumi Fukuma

  2. Department of Physics, Faculty of Liberal Arts, Shinshu University, 390, Matsumoto, Japan

    Satoru Odake

  3. Research Institute for Mathematical Sciences, Kyoto University, 606, Kyoto, Japan

    Yas-Hiro Quano

Authors
  1. Hidetoshi Awata
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  2. Masafumi Fukuma
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  3. Satoru Odake
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  4. Yas-Hiro Quano
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Awata, H., Fukuma, M., Odake, S. et al. Eigensystem and full character formula of theW 1+∞ algebra withc = 1. Lett Math Phys 31, 289–298 (1994). https://doi.org/10.1007/BF00762791

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  • DOI: https://doi.org/10.1007/BF00762791

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