On the Structure of Framed Vertex Operator Algebras and Their Pointwise Frame Stabilizers

@article{Lam2007OnTS,
  title={On the Structure of Framed Vertex Operator Algebras and Their Pointwise Frame Stabilizers},
  author={Ching Hung Lam and Hiroshi Yamauchi},
  journal={Communications in Mathematical Physics},
  year={2007},
  volume={277},
  pages={237-285}
}
  • C. Lam, H. Yamauchi
  • Published 7 May 2006
  • Mathematics
  • Communications in Mathematical Physics
In this paper, we study the structure of a general framed vertex operator algebra (VOA). We show that the structure codes (C,D) of a framed VOA V satisfy certain duality conditions. As a consequence, we prove that every framed VOA is a simple current extension of the associated binary code VOA VC. This result suggests the feasibility of classifying framed vertex operator algebras, at least if the central charge is small. In addition, the pointwise frame stabilizer of V is studied. We completely… 
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