{ "id": "1603.01797", "version": "v1", "published": "2016-03-06T07:08:10.000Z", "updated": "2016-03-06T07:08:10.000Z", "title": "Representations of Vertex Operator Algebras $V_{L_2}^{S_4}$ and $V_{L_2}^{A_5}$", "authors": [ "Li Wu", "Liuyi Zhang" ], "categories": [ "math-ph", "math.MP" ], "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.", "revisions": [ { "version": "v1", "updated": "2016-03-06T07:08:10.000Z" } ], "analyses": { "keywords": [ "vertex operator algebras", "representations", "rationality", "quantum dimensions" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2016arXiv160301797W" } } }