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Fixed point subalgebras of lattice vertex operator algebras by an automorphism of order three

Kenichiro Tanabe·Hiromichi Yamada
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Abstract

We study the fixed point subalgebra of a certain class of lattice vertex operator algebras by an automorphism of order 3, which is a lift of a fixed-point-free isometry of the underlying lattice. We classify the irreducible modules for the subalgebra. Moreover, the rationality and the $C_2$-cofiniteness of the subalgebra are established. Our result contains the case of the vertex operator algebra associated with the Leech lattice.

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BibTeXRIS

Kenichiro Tanabe, Hiromichi Yamada. 2013-11-09. Fixed point subalgebras of lattice vertex operator algebras by an automorphism of order three. https://doi.org/10.2969/jmsj%2F06541169

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