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Combinatorial bases of principal subspaces for the affine Lie algebra of type B_2^(1)

We consider principal subspaces W_L(kLambda_0) and W_N(kLambda_0) of standard module L(kLambda_0) and generalized Verma module N(kLambda_0) at level k >= 1 for the affine Lie algebra of type B_2^(1). By using the theory of vertex operator algebras, we find combinatorial bases of principal subspaces in terms of quasi-particles. From quasi-particle bases, we obtain character formulas for W_L(kLambda_0) and W_N(kLambda_0).

affine Lie algebra; vertex operator algebra; principal subspace; combinatorial basis

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