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3 symmetry and W3 algebra in lattice vertex operator algebras

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


The W3 algebra of central charge 6/5 is realized as a subalgebra of the vertex operator algebra V √ associated with 2A2 a lattice of type √ 2A2 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. 1

Year: 2008
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