Z_3 symmetry and W_3 algebra in lattice vertex operator algebras

Abstract

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 construction and orbifold theory. It is proved that W_3 is rational. Its irreducible modules are classified and constructed explicitly. The characters of those irreducible modules are also computed.

46 pages, latex

References in corpus (2)

• Modular invariance of trace functions in orbifold theory
• Uniform product of A_{g,n}(V) for an orbifold model V and G-twisted Zhu algebra

Cited by in corpus (3)

• On intertwining operators and finite automorphism groups of vertex operator algebras
• The irreducible weak modules for the fixed point subalgebra of the vertex algebra associated to a non-degenerate even lattice by an automorphism of order $2$ (Part $1$)
• Finite-dimensional vertex algebra modules over fixed point commutative subalgebras