Representation Theory of Code Vertex Operator Algebra
نویسندگان
چکیده
منابع مشابه
On Zhu’s Associative Algebra as a Tool in the Representation Theory of Vertex Operator Algebras
We describe an approach to classify (meromorphic) representations of a given vertex operator algebra by calculating Zhu’s algebra explicitly. We demonstrate this for FKS lattice theories and subtheories corresponding to the ZZ2 reflection twist and the ZZ3 twist. Our work is mainly offering a novel uniqueness tool, but, as shown in the ZZ3 case, it can also be used to extract enough information...
متن کاملVertex operator algebras and the representation theory of toroidal algebras
An explicit vertex operator algebra construction is given of a class of irreducible modules for toroidal Lie algebras. AMS (MOS) Subject Classifications:17B69, 17B68, 17B66, 17B10.
متن کاملThe radical of a vertex operator algebra
Each v ∈ V has a vertex operator Y (v, z) = ∑ n∈Z vnz −n−1 attached to it, where vn ∈ EndV. For the conformal vector ω we write Y (ω, z) = ∑ n∈Z L(n)z . If v is homogeneous of weight k, that is v ∈ Vk, then one knows that vn : Vm → Vm+k−n−1 and in particular the zero mode o(v) = vwtv−1 induces a linear operator on each Vm. We extend the “o” notation linearly to V, so that in general o(v) is the...
متن کاملA Characetrization of Vertex Operator Algebra L(
It is shown that any simple, rational and C2-cofinite vertex operator algebra whose weight 1 subspace is zero, the dimension of weight 2 subspace is greater than or equal to 2 and with central charge c = 1, is isomorphic to L(12 , 0) ⊗ L( 1 2 , 0). 2000MSC:17B69
متن کاملOn the concepts of intertwining operator and tensor product module in vertex operator algebra theory
We produce counterexamples to show that in the definition of the notion of intertwining operator for modules for a vertex operator algebra, the commutator formula cannot in general be used as a replacement axiom for the Jacobi identity. We further give a sufficient condition for the commutator formula to imply the Jacobi identity in this definition. Using these results we illuminate the crucial...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1998
ISSN: 0021-8693
DOI: 10.1006/jabr.1997.7257