Z_3 symmetry and W_3 algebra in lattice vertex operator algebras

C. Dong, C. H. Lam, K. Tanabe +2

The W_3 algebra of central charge 6/5 is realized as a subalgebra of the vertex operator algebra V_{\sqrt{2}A_2} associated with a lattice of type \sqrt{2}A_2 by using both coset c…