C 2-Cofiniteness of the 2-Cycle Permutation Orbifold Models of Minimal Virasoro Vertex Operator Algebras
نویسندگان
چکیده
منابع مشابه
Modular Invariance of Vertex Operator Algebras Satisfying C 2 -cofiniteness
We investigate trace functions of modules for vertex operator algebras satisfying C2-cofiniteness. For the modular invariance property, Zhu assumed two conditions in [Zh]: A(V ) is semisimple and C2-cofiniteness. We show that C2-cofiniteness is enough to prove a modular invariance property. For example, if a VOA V is C2cofinite, then the space spanned by generalized characters (pseudo-trace fun...
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We investigate trace functions of modules for vertex operator algebras satisfying C2-cofiniteness. For the modular invariance property, Zhu assumed two conditions in [Zh]: A(V ) is semisimple and C2-cofiniteness. We show that C2cofiniteness is enough to prove a modular invariance property. For example, if a VOA V = ⊕m=0Vm is C2-cofinite, then the space spanned by generalized characters (pseudo-...
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Vertex operator algebras (VOA) were introduced by Borcherds ( [B] ) as an axiomatic description of the ‘holomorphic part’ of a conformal field theory ( [BPZ] ). An account of the theory of vertex operator algebras may be found in [FLM]. One of the most important examples of VOAs ( [FZ] ) is the Virasoro VOAs, i.e.VOAs corresponding to the representations of the Virasoro algebra L, denoted by Vc...
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2011
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s00220-011-1209-x