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

Li Wu; Liuyi Zhang

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

Mathematical Physics 2016-03-16 v1 math.MP Quantum Algebra

Authors: Li Wu , Liuyi Zhang

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.

Keywords

vertex operator algebra irreducible module C2 cofiniteness rationality quantum dimension representation theory

Cite

@article{arxiv.1603.01797,
  title  = {Representations of Vertex Operator Algebras $V_{L_2}^{S_4}$ and $V_{L_2}^{A_5}$},
  author = {Li Wu and Liuyi Zhang},
  journal= {arXiv preprint arXiv:1603.01797},
  year   = {2016}
}

Comments

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

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

Abstract

Keywords

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