Frame Stabilizers for framed vertex operator algebras associated to lattices having 4-frames

Details Frame Stabilizers for framed vertex operator algebras associated to lattices having 4-frames Frame Stabilizers for framed vertex operator algebras associated to lattices having 4-frames

2009-05-29

arxiv.org/abs/0905.4769v1

Mathematics

Quantum Algebra

29 pages

Scientific paper

In this paper, we study certain Virasoro frames for lattice vertex operator algebras and their $\Z_2$-orbifolds using linear codes over $\Z_4$. We also compute the corresponding frame stabilizer from the view point of binary codes and $\Z_4$-codes. As an application, we determine the frame stabilizers of several Virasoro frames of the vertex operator algebra $V_{E_8}$ and the moonshine vertex operator algebra $V^\natural$.

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