Representations of Vertex Operator Algebras $V_{L_2}^{S_4}$ and $V_{L_2}^{A_5}$

preprint2016arXivOpen access

$C_2$ cofiniteness and rationality of $V_{L_2}^{S_4}$ are obtained, and irreducible $V_{L_2}^{S_4}$ -modules are classified. With the assumption of rationality and $C_2$ cofiniteness, irreducible $V_{L_2}^{A_5}$ -modules are determined. Also, quantum dimensions of these irreducible modules are calculated.

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Representations of Vertex Operator Algebras $V_{L_2}^{S_4}$ and $V_{L_2}^{A_5}$

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Representations of Vertex Operator Algebras VL2S4V_{L_2}^{S_4}VL2​S4​​ and VL2A5V_{L_2}^{A_5}VL2​A5​​

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Representations of Vertex Operator Algebras $V_{L_2}^{S_4}$ and $V_{L_2}^{A_5}$