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

Abstract

We consider principal subspaces $W_{L(k{\Lambda }_0)}$ and $W_{N(k{\Lambda }_0)}$ of standard module $L(k{\Lambda }_0)$ and generalized Verma module $N(k{\Lambda }_0)$ at level $k\ge 1$ for affine Lie algebra of type $B_2^{(1)}$. By using the theory of vertex operator algebras, we find combinatorial bases of principal ubspaces in terms of quasi-particles. From quasi-particle bases, we obtain character formulas for $W_{L(k{\Lambda }_0)}$ and $W_{N(k{\Lambda }_0)}$.

Cited by in corpus (1)

• Principal subspaces for the affine Lie algebras in types $D$, $E$ and $F$