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New bosonization and conformal field theory over Z

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Abstract

New formulation of bosonization is given so that it is defined over the ring Z of integers. The charge zero sector of the new boson Fock space is the completion of the coordinate ring of the universal Witt scheme. By using new bosonization, conformal field theory of free fermions over Z is given.

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Communicated by H. Araki

Dedicated to Professor M. Sato on his sixtieth birthday

Partially supported by Max-Planck-Institut für Mathematik

Partially supported by Max-Planck-Institut für Mathematik

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Katsura, T., Shimizu, Y. & Ueno, K. New bosonization and conformal field theory over Z. Commun.Math. Phys. 121, 603–627 (1989). https://doi.org/10.1007/BF01218158

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  • DOI: https://doi.org/10.1007/BF01218158

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