Bimodule and twisted representation of vertex operator algebras (Q283063)

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scientific article; zbMATH DE number 6580168
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Bimodule and twisted representation of vertex operator algebras
scientific article; zbMATH DE number 6580168

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    Bimodule and twisted representation of vertex operator algebras (English)
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    13 May 2016
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    If \(V\) is a vertex operator algebra with a finite order automorphism \(g\), Zhu constructed an associative algebra \(A_g(V)\). A generalization \(A_{g,n}(V)\) was later defined. In this paper the authors construct a bimodule \(\mathbf{A}_{g,n}(M)\) for the algebra \(A_{g,n}(V)\) and any admissible \(V\)-module \(M\). They study the structure of such bimodules and establish their connection with the space of intertwining operators.
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    bimodule
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    \(g\)-twisted module
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    vertex operator algebra
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    intertwining operator
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    fusion rules
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