Vertex algebraic construction of modules for twisted affine Lie algebras of type A(2) 2l

Let g tilde be the affine Lie algebra of type A(2) 2l . The integrable highest weight g tilde -module L(k & ULambda;0) called the standard g tilde -module is realized by a tensor product of the twisted module VLT for the lattice vertex operator algebra VL. 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].(c) 2022 Elsevier B.V. All rights reserved.