Simple Current Extensions of Tensor Products of Vertex Operator Algebras

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  • Hiromichi Yamada
    Department of Mathematics, Hitotsubashi University, Kunitachi, Tokyo 186-8601, Japan
  • Hiroshi Yamauchi
    Department of Mathematics, Tokyo Woman’s Christian University, Suginami-ku, Tokyo 167-8585, Japan

説明

<jats:title>Abstract</jats:title><jats:p>We study simple current extensions of tensor products of two vertex operator algebras satisfying certain conditions. We establish the relationship between the fusion rule for the simple current extension and the fusion rule for a tensor factor. In a special case, we construct a chain of simple current extensions. We discuss certain irreducible twisted modules for the simple current extension as well.</jats:p>

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