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

Published 6 Mar 2016 in math-ph, math.MP, and math.QA | (1603.01797v1)

Abstract: $C_2$ 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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