Z_3 symmetry and W_3 algebra in lattice vertex operator algebras

Details Z_3 symmetry and W_3 algebra in lattice vertex operator algebras Z_3 symmetry and W_3 algebra in lattice vertex operator algebras

2003-02-25

arxiv.org/abs/math/0302314v1

Mathematics

Quantum Algebra

46 pages, latex

Scientific paper

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.

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