2019 / March Volume 14 No.1
Level-Rank Duality for Vertex Operator Algebras of types B and D
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2019 / March
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Title | Level-Rank Duality for Vertex Operator Algebras of types B and D |
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Pagination | 31-54 |
Abstract | For the simple Lie algebra $ \frak{so}_m$, we study the commutant vertex operator algebra of $ L_{\widehat{\frak{so}}_{m}}(n,0)$ in the $n$-fold tensor product $ L_{\widehat{\frak{so}}_{m}}(1,0)^{\otimes n}$. It turns out that this commutant vertex operator algebra can be realized as a fixed point subalgebra of $L_{\widehat{\frak{so}}_{n}}(m,0)$ (or its simple current extension) associated with a certain abelian group. This result may be viewed as a version of level-rank duality.
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DOI | |
AMS Subject Classification |
17B69
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Received |
2018-02-25
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Accepted |
2018-02-26
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