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Vertex operator algebras associated to modified regular representations of the Virasoro algebra
Vertex operator algebras modified regular representations Virasoro algebra
2011/2/28
We give an abstract construction, based on the Belavin-Polyakov-Zamolodchikov equations, of a
family of vertex operator algebras of rank 26 associated to the modified regular representations of the V...
We show that for any fixed point P0 on a Riemann surface the distinct realizations of cocycles in H1(,O) correspond to the natural appearances of the standard Heisenberg vertex operator algebra (P0...
Vertex Operator Algebras Associated to Type G Affine Lie Algebras
Vertex Operator Algebras Associated Type G Affine Lie Algebras
2010/11/22
In this paper, we study representations of the vertex operator algebra $L(k,0)$ at one-third admissible levels $k= -5/3, -4/3, -2/3$ for the affine algebra of type $G_2^{(1)}$. We first determine sin...
K-theory associated to vertex operator algebras
K-theory associated vertex operator algebras
2018/4/20
We introduce two K-theories, one for vector bundles whose fibers are modules of vertex operator algebras, another for vector bundles whose fibers are modules of associative algebras. We verify the coh...