Abstract
The rational vertex operator algebra \(V _{L_{2}}^{A_{4}}\) is characterized in terms of weights of primary vectors. This reduces the classification of rational vertex operator algebras with c = 1 to the characterizations of \(V _{L_{2}}^{S_{4}}\) and \(V _{L_{2}}^{A_{5}}.\)
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Acknowledgements
The first author acknowledges the support from NSF grants and a Faculty research grant from the University of California at Santa Cruz. The second author acknowledges the support from China NSF grants (10931006 and 11371245), the RFDP grants of China (20100073110052), and the Innovation Program of Shanghai Municipal Education Commission (11ZZ18).
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Dong, C., Jiang, C. (2014). A Characterization of the Vertex Operator Algebra \(V _{L_{2}}^{A_{4}}\) . In: Kohnen, W., Weissauer, R. (eds) Conformal Field Theory, Automorphic Forms and Related Topics. Contributions in Mathematical and Computational Sciences, vol 8. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-43831-2_3
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