Vertex algebraic construction of modules for twisted affine Lie algebras of type [formula omitted].

Let g ˜ be the affine Lie algebra of type A 2 l (2). The integrable highest weight g ˜ -module L (k Λ 0) called the standard g ˜ -module is realized by a tensor product of the twisted module V L T for the lattice vertex operator algebra V L. By using such vertex algebraic construction, we construct bases of the standard module, its principal subspace and the parafermionic space. As a consequence, we obtain their character formulas and settle the conjecture for vacuum modules stated in [15]. [ABSTRACT FROM AUTHOR]