Frame stabilizers for Framed Vertex operator algebras associated to lattices having 4-frames

Ching Hung Lam; Hiroki Shimakura

doi:10.1093/imrn/rnp091

Frame stabilizers for Framed Vertex operator algebras associated to lattices having 4-frames

Ching Hung Lam, Hiroki Shimakura

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

In this paper, we study certain Virasoro frames for lattice vertex operator algebras (VOAs) and their ℤ₂-orbifolds using linear codes over ℤ₄. We also compute the corresponding frame stabilizer from the viewpoint of binary codes and ℤ₄-codes. As an application, we determine the frame stabilizers of several Virasoro frames of the VOA V _E8and the moonshine vertex operator algebra V.

Original language	English
Pages (from-to)	4547-4577
Number of pages	31
Journal	International Mathematics Research Notices
Issue number	24
DOIs	https://doi.org/10.1093/imrn/rnp091
Publication status	Published - 2009 Dec 1
Externally published	Yes

ASJC Scopus subject areas

Mathematics(all)

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10.1093/imrn/rnp091

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abstract = "In this paper, we study certain Virasoro frames for lattice vertex operator algebras (VOAs) and their ℤ2-orbifolds using linear codes over ℤ4. We also compute the corresponding frame stabilizer from the viewpoint of binary codes and ℤ4-codes. As an application, we determine the frame stabilizers of several Virasoro frames of the VOA V E8and the moonshine vertex operator algebra V.",

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