Twisted Sectors for Tensor Product Vertex Operator Algebras Associated to Permutation Groups

@article{Barron2002TwistedSF,
  title={Twisted Sectors for Tensor Product Vertex Operator Algebras Associated to Permutation Groups},
  author={K. Barron and Chao-Ping Dong and G. Mason},
  journal={Communications in Mathematical Physics},
  year={2002},
  volume={227},
  pages={349-384}
}
  • K. Barron, Chao-Ping Dong, G. Mason
  • Published 2002
  • Mathematics, Physics
  • Communications in Mathematical Physics
  • Abstract: Let V be a vertex operator algebra, and for k a positive integer, let g be a k-cycle permutation of the vertex operator algebra V⊗k. We prove that the categories of weak, weak admissible and ordinary g-twisted modules for the tensor product vertex operator algebra V⊗k are isomorphic to the categories of weak, weak admissible and ordinary V-modules, respectively. The main result is an explicit construction of the weak g-twisted V⊗k-modules from weak V-modules. For an arbitrary… CONTINUE READING
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