ℤ3 symmetry and W3 algebra in lattice vertex operator algebras

The W₃ algebra of central charge 6∕5 is realized as a subalgebra of the vertex operator algebra V _A₂ associated with a lattice of type √2- A₂ by using both coset construction and orbifold theory. It is proved that W₃ is rational. Its irreducible modules are classified and constructed explicitly. The characters of those irreducible modules are also computed.

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Received: 21 October 2003

Published: 1 June 2004

Authors

Chongying Dong
Department of Mathematics University of California Santa Cruz, CA 95064

Ching Hung Lam
Department of Mathematics National Cheng Kung University Tainan, Taiwan 701 Republic of China

Kenichiro Tanabe
Institute of Mathematics University of Tsukuba Tsukuba 305-8571 Japan

Hiromichi Yamada
Department of Mathematics Hitotsubashi University Kunitachi, Tokyo 186-8601 Japan

Kazuhiro Yokoyama
Graduate School of Mathematics Kyushu University Fukuoka 812-8581 Japan

Vol. 215, No. 2, 2004

Chongying Dong, Ching Hung Lam, Kenichiro Tanabe, Hiromichi Yamada and Kazuhiro Yokoyama

Abstract

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Authors