2-permutations of lattice vertex operator algebras: Higher rank
The fusion rules of the 2-permutation orbifold of an arbitrary lattice vertex operator algebra are determined by using the theory of quantum dimension.
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arXiv subjects
Nina Yu
Publications and source records attributed to Nina Yu.
Cyclic permutations of lattice vertex operator algebras
The irreducible modules of the 2-cycle permutation orbifold models of lattice vertex operator algebras of rank 1 are classified, the quantum dimensions of irreducible modules and the fusion rules are determined.
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Fusion rules for the vertex operator algebra $V_{L_{2}}^{A_{4}}$
The fusion rules for vertex operator algebra $V_{L_{2}}^{A_{4}}$ are determined.
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Z-graded weak modules and regularity
It is proved that if any Z-graded weak module for vertex operator algebra V is completely reducible, then V is rational and C_2-cofinite. That is, V is regular. This gives a natural characterization of regular vertex operator algebras.
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