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

Li Wu; Liuyi Zhang

paper

Representations of Vertex Operator Algebras $V_{L_{2}}^{S_{4}}$ and $V_{L_{2}}^{A_{5}}$

arXiv:1603.01797

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.

arXiv admin note: text overlap with arXiv:1209.1168, arXiv:hep-th/9412037 by other authors

Representations of Vertex Operator Algebras VL2​S4​​ and VL2​A5​​

Abstract

Representations of Vertex Operator Algebras $V_{L_{2}}^{S_{4}}$ and $V_{L_{2}}^{A_{5}}$