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ℤ<sub>3</sub>symmetry and W<sub>3</sub>algebra in lattice vertex operator algebras
The W 3 algebra of central charge 6/5 is realized as a subalgebra of the vertex operator algebra V √ 2A2 associated with a lattice of type √ 2A 2 by using both coset construction and orbifold theory.It is proved that W 3 is rational.Its irreducible modules are classified and …